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0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 +- 0.0001 diff --git a/project/theory_cards/1_20mur.yaml b/project/theory_cards/1_20mur.yaml new file mode 100644 index 0000000..bd603d5 --- /dev/null +++ b/project/theory_cards/1_20mur.yaml @@ -0,0 +1,6 @@ +order: 2 +fns: "our" +grids: False +mass: 4.92 +mur_ratio: 2.0 +muf_ratio: 1.0 diff --git a/src/dis_tp/MassiveCoeffFunc.py b/src/dis_tp/MassiveCoeffFunc.py index 9c0f458..2d9a49f 100755 --- a/src/dis_tp/MassiveCoeffFunc.py +++ b/src/dis_tp/MassiveCoeffFunc.py @@ -5,11 +5,11 @@ from eko.constants import TR from scipy.integrate import quad -from . import Initialize +from . import Initialize, scale_variations # F2 -def Cb_2_m_reg(z, Q, p, _nf): +def Cb_2_m_reg(z, Q, p, _nf, mur_ratio=1.0): Q2 = Q * Q m_b = p[0] eps = m_b * m_b / Q2 @@ -21,20 +21,22 @@ def Cb_2_m_reg(z, Q, p, _nf): eta = xi / 4.0 * (1.0 / z - 1.0) - 1.0 eta = min(eta, 1e5) FHprefactor = Q2 / (np.pi * m_b**2) * e_h**2 - return FHprefactor / z * (4.0 * np.pi) ** 2 * LeProHQ.dq1("F2", "VV", xi, eta) + bare_res = FHprefactor / z * (4.0 * np.pi) ** 2 * LeProHQ.dq1("F2", "VV", xi, eta) + return scale_variations.apply_rensv_kernel(0, 2, [bare_res], mur_ratio, _nf) -def Cb_2_m_loc(_z, Q, p, _nf): +def Cb_2_m_loc(_z, Q, p, _nf, mur_ratio=1.0): l = quad( lambda x: Cb_2_m_reg(x, Q, p, _nf), 0.0, 1.0, points=(0.0, 1.0), ) - return -l[0] + bare_res = -l[0] + return scale_variations.apply_rensv_kernel(0, 2, [bare_res], mur_ratio, _nf) -def Cg_1_m_reg(z, Q, p, _nf): +def Cg_1_m_reg(z, Q, p, _nf, mur_ratio=1.0): Q2 = Q * Q m_b = p[0] eps = m_b * m_b / Q2 @@ -43,7 +45,7 @@ def Cg_1_m_reg(z, Q, p, _nf): if thre > 1.0: return 0 v = np.sqrt(1 - thre) - return ( + bare_res = ( 4 * TR * e_h @@ -54,9 +56,10 @@ def Cg_1_m_reg(z, Q, p, _nf): * (z * z + (1 - z) ** 2 + 4 * z * eps * (1 - 3 * z) - 8 * z * z * eps * eps) ) ) + return scale_variations.apply_rensv_kernel(0, 1, [bare_res], mur_ratio, _nf) -def Cg_2_m_reg(z, Q, p, _nf): +def Cg_2_m_reg(z, Q, p, _nf, mur_ratio=1.0): Q2 = Q * Q m_b = p[0] eps = m_b**2 / Q2 @@ -70,7 +73,7 @@ def Cg_2_m_reg(z, Q, p, _nf): if xi > 2499.9999999999995: # FH grids are not defined above this return 0.0 - return ( + bare_res = ( FHprefactor / z * (4.0 * np.pi) ** 2 @@ -79,9 +82,12 @@ def Cg_2_m_reg(z, Q, p, _nf): + LeProHQ.cgBar1("F2", "VV", xi, eta) * np.log(xi) ) ) + return scale_variations.apply_rensv_kernel( + 1, 1, [bare_res, Cg_1_m_reg(z, Q, p, _nf, mur_ratio=1.0)], mur_ratio, _nf + ) -def Cg_3_m_reg(z, Q, p, nf): +def Cg_3_m_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] Q2 = Q * Q m_b = p[0] @@ -89,10 +95,20 @@ def Cg_3_m_reg(z, Q, p, nf): thre = 4.0 * eps * z / (1 - z) if thre > 1.0: return 0.0 - return e_h**2 * Initialize.Cg3m[nf - 4](z, Q)[0] + bare_res = e_h**2 * Initialize.Cg3m[nf - 4](z, Q)[0] + return scale_variations.apply_rensv_kernel( + 2, + 1, + [ + bare_res, + Cg_2_m_reg(z, Q, p, nf, mur_ratio=1.0), + Cg_1_m_reg(z, Q, p, nf, mur_ratio=1.0), + ], + mur_ratio, + ) -def Cq_2_m_reg(z, Q, p, _nf): +def Cq_2_m_reg(z, Q, p, _nf, mur_ratio=1.0): Q2 = Q * Q m_b = p[0] eps = m_b * m_b / Q2 @@ -103,7 +119,7 @@ def Cq_2_m_reg(z, Q, p, _nf): xi = 1 / eps eta = xi / 4.0 * (1.0 / z - 1.0) - 1.0 FHprefactor = Q2 / (np.pi * m_b**2) * e_h**2 - return ( + bare_res = ( FHprefactor / z * (4.0 * np.pi) ** 2 @@ -112,9 +128,10 @@ def Cq_2_m_reg(z, Q, p, _nf): + LeProHQ.cqBarF1("F2", "VV", xi, eta) * np.log(xi) ) ) + return scale_variations.apply_rensv_kernel(0, 2, [bare_res], mur_ratio, _nf) -def Cq_3_m_reg(z, Q, p, nf): +def Cq_3_m_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] Q2 = Q * Q m_b = p[0] @@ -122,11 +139,14 @@ def Cq_3_m_reg(z, Q, p, nf): thre = 4.0 * eps * z / (1 - z) if thre > 1.0: return 0.0 - return e_h**2 * Initialize.Cq3m[nf - 4](z, Q)[0] + bare_res = e_h**2 * Initialize.Cq3m[nf - 4](z, Q)[0] + return scale_variations.apply_rensv_kernel( + 1, 2, [bare_res, Cq_2_m_reg(z, Q, p, nf, mur_ratio=1.0)], mur_ratio, nf + ) # FL -def CLb_2_m_reg(z, Q, p, _nf): +def CLb_2_m_reg(z, Q, p, _nf, mur_ratio=1.0): Q2 = Q * Q m_b = p[0] eps = m_b * m_b / Q2 @@ -137,10 +157,11 @@ def CLb_2_m_reg(z, Q, p, _nf): xi = 1 / eps eta = xi / 4.0 * (1.0 / z - 1.0) - 1.0 FHprefactor = Q2 / (np.pi * m_b**2) * e_h**2 - return FHprefactor / z * (4.0 * np.pi) ** 2 * LeProHQ.dq1("FL", "VV", xi, eta) + bare_res = FHprefactor / z * (4.0 * np.pi) ** 2 * LeProHQ.dq1("FL", "VV", xi, eta) + return scale_variations.apply_rensv_kernel(0, 2, [bare_res], mur_ratio, _nf) -def CLg_1_m_reg(z, Q, p, _nf): +def CLg_1_m_reg(z, Q, p, _nf, mur_ratio=1.0): Q2 = Q * Q m_b = p[0] eps = m_b * m_b / Q2 @@ -150,16 +171,17 @@ def CLg_1_m_reg(z, Q, p, _nf): if thre > 1.0: return 0 v = np.sqrt(1 - thre) - return ( + bare_res = ( 4 * TR * e_h * e_h * (-8 * eps * z2 * np.log((1 + v) / (1 - v)) + 4 * v * z * (1 - z)) ) + return scale_variations.apply_rensv_kernel(0, 1, [bare_res], mur_ratio, _nf) -def CLg_2_m_reg(z, Q, p, _nf): +def CLg_2_m_reg(z, Q, p, _nf, mur_ratio=1.0): Q2 = Q * Q m_b = p[0] eps = m_b * m_b / Q2 @@ -173,7 +195,7 @@ def CLg_2_m_reg(z, Q, p, _nf): if xi > 2499.9999999999995: # FH grids are not defined above this return 0.0 - return ( + bare_res = ( FHprefactor / z * (4.0 * np.pi) ** 2 @@ -182,9 +204,12 @@ def CLg_2_m_reg(z, Q, p, _nf): + LeProHQ.cgBar1("FL", "VV", xi, eta) * np.log(xi) ) ) + return scale_variations.apply_rensv_kernel( + 1, 1, [bare_res, CLg_1_m_reg(z, Q, p, _nf, mur_ratio=1.0)], mur_ratio, _nf + ) -def CLg_3_m_reg(z, Q, p, nf): +def CLg_3_m_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] Q2 = Q * Q m_b = p[0] @@ -192,10 +217,21 @@ def CLg_3_m_reg(z, Q, p, nf): thre = 4.0 * eps * z / (1 - z) if thre > 1.0: return 0 - return e_h**2 * Initialize.CLg3m[nf - 4](z, Q)[0] + bare_res = e_h**2 * Initialize.CLg3m[nf - 4](z, Q)[0] + return scale_variations.apply_rensv_kernel( + 2, + 1, + [ + bare_res, + CLg_2_m_reg(z, Q, p, nf, mur_ratio=1.0), + CLg_1_m_reg(z, Q, p, nf, mur_ratio=1.0), + ], + mur_ratio, + nf, + ) -def CLq_2_m_reg(z, Q, p, _nf): +def CLq_2_m_reg(z, Q, p, _nf, mur_ratio=1.0): Q2 = Q * Q m_b = p[0] eps = m_b * m_b / Q2 @@ -206,7 +242,7 @@ def CLq_2_m_reg(z, Q, p, _nf): xi = 1 / eps eta = xi / 4.0 * (1.0 / z - 1.0) - 1.0 FHprefactor = Q2 / (np.pi * m_b**2) * e_h**2 - return ( + bare_res = ( FHprefactor / z * (4.0 * np.pi) ** 2 @@ -215,9 +251,10 @@ def CLq_2_m_reg(z, Q, p, _nf): + LeProHQ.cqBarF1("FL", "VV", xi, eta) * np.log(xi) ) ) + return scale_variations.apply_rensv_kernel(0, 2, [bare_res], mur_ratio, _nf) -def CLq_3_m_reg(z, Q, p, nf): +def CLq_3_m_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] Q2 = Q * Q m_b = p[0] @@ -225,4 +262,7 @@ def CLq_3_m_reg(z, Q, p, nf): thre = 4.0 * eps * z / (1 - z) if thre > 1.0: return 0.0 - return e_h**2 * Initialize.CLq3m[nf - 4](z, Q)[0] + bare_res = e_h**2 * Initialize.CLq3m[nf - 4](z, Q)[0] + return scale_variations.apply_rensv_kernel( + 1, 2, [bare_res, CLq_2_m_reg(z, Q, p, nf, mur_ratio=1.0)], mur_ratio, nf + ) diff --git a/src/dis_tp/MasslessCoeffFunc.py b/src/dis_tp/MasslessCoeffFunc.py index f687b6f..bf7d198 100755 --- a/src/dis_tp/MasslessCoeffFunc.py +++ b/src/dis_tp/MasslessCoeffFunc.py @@ -3,40 +3,48 @@ from eko.constants import CF, TR, zeta2 from yadism.coefficient_functions.light.n3lo import xc2ns3p, xc2sg3p, xclns3p, xclsg3p +from . import scale_variations + # F2 -def Cb_0_loc(z, Q, p, _nf): +def Cb_0_loc(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] - return e_h * e_h + bare_res = e_h * e_h + return scale_variations.apply_rensv_kernel(0, 0, [bare_res], mur_ratio, _nf) -def Cb_1_reg(z, Q, p, _nf): +def Cb_1_reg(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] - return ( + bare_res = ( e_h * e_h * 2 * CF * (-(1 + z) * np.log(1 - z) - (1 + z * z) * np.log(z) / (1 - z) + 3 + 2 * z) ) + return scale_variations.apply_rensv_kernel(0, 1, [bare_res], mur_ratio, _nf) -def Cb_1_loc(z, Q, p, _nf): +def Cb_1_loc(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] - return ( + bare_res = ( e_h * e_h * CF * (-4 * zeta2 - 9.0 - 3.0 * np.log(1 - z) + 2.0 * np.log(1 - z) ** 2) ) + return scale_variations.apply_rensv_kernel( + 1, 0, [bare_res, Cb_0_loc(z, Q, p, _nf)], mur_ratio, _nf + ) -def Cb_1_sing(z, Q, p, _nf): +def Cb_1_sing(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] - return e_h * e_h * 2 * CF * (2 * np.log(1 - z) - 3.0 / 2.0) / (1 - z) + bare_res = e_h * e_h * 2 * CF * (2 * np.log(1 - z) - 3.0 / 2.0) / (1 - z) + return scale_variations.apply_rensv_kernel(0, 1, [bare_res], mur_ratio, _nf) -def Cb_2_reg(z, Q, p, nf): +def Cb_2_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] z1 = 1 - z dl = np.log(z) @@ -45,7 +53,7 @@ def Cb_2_reg(z, Q, p, nf): dl_3 = dl_2 * dl dl1_2 = dl1 * dl1 dl1_3 = dl1_2 * dl1 - return ( + bare_res = ( e_h * e_h * ( @@ -72,12 +80,15 @@ def Cb_2_reg(z, Q, p, nf): ) ) ) + return scale_variations.apply_rensv_kernel( + 1, 1, [bare_res, Cb_1_reg(z, Q, p, nf)], mur_ratio, nf + ) -def Cb_2_loc(z, Q, p, nf): +def Cb_2_loc(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] dl1 = np.log(1.0 - z) - return ( + bare_res = ( e_h * e_h * ( @@ -91,9 +102,12 @@ def Cb_2_loc(z, Q, p, nf): * (0.592593 * dl1**3 - 4.2963 * dl1**2 + 6.3489 * dl1 + 46.844 - 0.0035) ) ) + return scale_variations.apply_rensv_kernel( + 2, 0, [bare_res, Cb_1_loc(z, Q, p, nf), Cb_0_loc(z, Q, p, nf)], mur_ratio, nf + ) -def Cb_2_sing(z, Q, p, nf): +def Cb_2_sing(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] z1 = 1 - z dl = np.log(z) @@ -101,7 +115,7 @@ def Cb_2_sing(z, Q, p, nf): dl_2 = dl * dl dl1_2 = dl1 * dl1 dl1_3 = dl1_2 * dl1 - return ( + bare_res = ( e_h * e_h * (1.0 / z1) @@ -113,20 +127,24 @@ def Cb_2_sing(z, Q, p, nf): + nf * (1.77778 * dl1_2 - 8.5926 * dl1 + 6.3489) ) ) + return scale_variations.apply_rensv_kernel( + 1, 1, [bare_res, Cb_1_sing(z, Q, p, nf)], mur_ratio, nf + ) -def Cg_1_reg(z, Q, p, _nf): +def Cg_1_reg(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] - return ( + bare_res = ( 4 * TR * e_h * e_h * (((1 - z) * (1 - z) + z * z) * np.log((1 - z) / z) - 8 * z * (z - 1) - 1) ) + return scale_variations.apply_rensv_kernel(0, 1, [bare_res], mur_ratio, _nf) -def Cg_2_reg(z, Q, p, _nf): +def Cg_2_reg(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] dl = np.log(z) dl1 = np.log(1.0 - z) @@ -142,23 +160,30 @@ def Cg_2_reg(z, Q, p, _nf): - 724.1 * dl**2 * dl1 - 871.8 * dl * dl1**2 ) - return e_h**2 * res + bare_res = e_h**2 * res + return scale_variations.apply_rensv_kernel( + 1, 1, [bare_res, Cg_1_reg(z, Q, p, _nf)], mur_ratio, _nf + ) -def Cg_3_reg(z, Q, p, nf): +def Cg_3_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] flg = p[2] args = np.array([nf, flg], dtype=float) - return e_h**2 * xc2sg3p.c2g3a(z, args=args) / nf + bare_res = e_h**2 * xc2sg3p.c2g3a(z, args=args) / nf + return scale_variations.apply_rensv_kernel( + 2, 1, [bare_res, Cg_2_reg(z, Q, p, nf), Cg_1_reg(z, Q, p, nf)], mur_ratio, nf + ) -def Cg_3_loc(z, Q, p, nf): +def Cg_3_loc(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] args = np.array([nf], dtype=float) - return e_h**2 * xc2sg3p.c2g3c(z, args=args) / nf + bare_res = e_h**2 * xc2sg3p.c2g3c(z, args=args) / nf + return scale_variations.apply_rensv_kernel(0, 3, [bare_res], mur_ratio, nf) -def Cq_2_reg(z, Q, p, _nf): +def Cq_2_reg(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] dl = np.log(z) dl1 = np.log(1.0 - z) @@ -171,57 +196,80 @@ def Cq_2_reg(z, Q, p, _nf): - (24.75 - 13.80 * z) * dl**2 * dl1 + 30.23 * dl * dl1 ) - return e_h**2 * res + bare_res = e_h**2 * res + return scale_variations.apply_rensv_kernel(0, 2, [bare_res], mur_ratio, _nf) -def Cq_3_reg(z, Q, p, nf): +def Cq_3_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] flps = p[2] args = np.array([nf, flps], dtype=float) - return e_h**2 * xc2sg3p.c2s3a(z, args=args) / nf + bare_res = e_h**2 * xc2sg3p.c2s3a(z, args=args) / nf + return scale_variations.apply_rensv_kernel( + 1, 2, [bare_res, Cq_2_reg(z, Q, p, nf)], mur_ratio, nf + ) -def Cq_3_loc(z, Q, p, nf): +def Cq_3_loc(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] flps = p[2] args = np.array([nf, flps], dtype=float) - return e_h**2 * xc2sg3p.c2s3c(z, args=args) / nf + bare_res = e_h**2 * xc2sg3p.c2s3c(z, args=args) / nf + return scale_variations.apply_rensv_kernel(0, 3, [bare_res], mur_ratio, nf) -def Cb_3_reg(z, Q, p, nf): +def Cb_3_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] fl = p[2] args = np.array([nf, fl], dtype=float) - return e_h**2 * xc2ns3p.c2np3a(z, args=args) + bare_res = e_h**2 * xc2ns3p.c2np3a(z, args=args) + return scale_variations.apply_rensv_kernel( + 2, 1, [bare_res, Cb_2_reg(z, Q, p, nf), Cb_1_reg(z, Q, p, nf)], mur_ratio, nf + ) -def Cb_3_loc(z, Q, p, nf): +def Cb_3_loc(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] fl = p[2] args = np.array([nf, fl], dtype=float) - return e_h**2 * xc2ns3p.c2np3c(z, args=args) + bare_res = e_h**2 * xc2ns3p.c2np3c(z, args=args) + return scale_variations.apply_rensv_kernel( + 3, + 0, + [bare_res, Cb_2_loc(z, Q, p, nf), Cb_1_loc(z, Q, p, nf), Cb_0_loc(z, Q, p, nf)], + mur_ratio, + nf, + ) -def Cb_3_sing(z, Q, p, nf): +def Cb_3_sing(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] args = np.array([nf], dtype=float) - return e_h**2 * xc2ns3p.c2ns3b(z, args=args) + bare_res = e_h**2 * xc2ns3p.c2ns3b(z, args=args) + return scale_variations.apply_rensv_kernel( + 2, + 1, + [bare_res, Cb_2_sing(z, Q, p, nf), Cb_1_sing(z, Q, p, nf, mur_ratio=1.0)], + mur_ratio, + nf, + ) # FL -def CLg_1_reg(z, Q, p, _nf): +def CLg_1_reg(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] - return 16 * TR * e_h * e_h * z * (1.0 - z) + bare_res = 16 * TR * e_h * e_h * z * (1.0 - z) + return scale_variations.apply_rensv_kernel(0, 1, [bare_res], mur_ratio, _nf) -def CLg_2_reg(z, Q, p, _nf): +def CLg_2_reg(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] omx = 1.0 - z dl = np.log(z) dl_2 = dl * dl dl1 = np.log(omx) dl1_2 = dl1 * dl1 - return ( + bare_res = ( e_h * e_h * ( @@ -233,28 +281,35 @@ def CLg_2_reg(z, Q, p, _nf): - 5.333 * (1.0 / z - 1) ) ) + return scale_variations.apply_rensv_kernel( + 1, 1, [bare_res, CLg_1_reg(z, Q, p, _nf)], mur_ratio, _nf + ) -def CLg_3_reg(z, Q, p, nf): +def CLg_3_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] flg = p[2] args = np.array([nf, flg], dtype=float) - return e_h**2 * xclsg3p.clg3a(z, args=args) / nf + bare_res = e_h**2 * xclsg3p.clg3a(z, args=args) / nf + return scale_variations.apply_rensv_kernel( + 2, 1, [bare_res, CLg_2_reg(z, Q, p, nf), CLg_1_reg(z, Q, p, nf)], mur_ratio, nf + ) -def CLb_1_reg(z, Q, p, _nf): +def CLb_1_reg(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] - return e_h * e_h * 4 * CF * z + bare_res = e_h * e_h * 4 * CF * z + return scale_variations.apply_rensv_kernel(0, 1, [bare_res], mur_ratio, _nf) -def CLb_2_reg(z, Q, p, nf): +def CLb_2_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] z1 = 1.0 - z dl = np.log(z) dl1 = np.log(z1) dl_2 = dl * dl dl1_2 = dl1 * dl1 - return ( + bare_res = ( e_h * e_h * ( @@ -268,14 +323,18 @@ def CLb_2_reg(z, Q, p, nf): + nf * (16.0 / 27.0) * (6 * z * dl1 - 12 * z * dl - 25 * z + 6) ) ) + return scale_variations.apply_rensv_kernel( + 1, 1, [bare_res, CLb_1_reg(z, Q, p, nf)], mur_ratio, nf + ) -def CLb_2_loc(z, Q, p, _nf): +def CLb_2_loc(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] - return e_h * e_h * (-0.164) + bare_res = e_h * e_h * (-0.164) + return scale_variations.apply_rensv_kernel(0, 2, [bare_res], mur_ratio, _nf) -def CLq_2_reg(z, Q, p, _nf): +def CLq_2_reg(z, Q, p, _nf, mur_ratio=1.0): e_h = p[-1] omz = 1.0 - z dl = np.log(z) @@ -283,7 +342,7 @@ def CLq_2_reg(z, Q, p, _nf): dl_2 = dl * dl omz2 = omz * omz omz3 = omz2 * omz - return ( + bare_res = ( e_h * e_h * ( @@ -293,23 +352,33 @@ def CLq_2_reg(z, Q, p, _nf): - (2.370 / z - 19.27) * omz3 ) ) + return scale_variations.apply_rensv_kernel(0, 2, [bare_res], mur_ratio, _nf) -def CLq_3_reg(z, Q, p, nf): +def CLq_3_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] flps = p[2] args = np.array([nf, flps], dtype=float) - return e_h**2 * xclsg3p.cls3a(z, args=args) / nf + bare_res = e_h**2 * xclsg3p.cls3a(z, args=args) / nf + return scale_variations.apply_rensv_kernel( + 1, 2, [bare_res, CLq_2_reg(z, Q, p, nf)], mur_ratio, nf + ) -def CLb_3_reg(z, Q, p, nf): +def CLb_3_reg(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] fl = p[2] args = np.array([nf, fl], dtype=float) - return e_h**2 * xclns3p.clnp3a(z, args=args) + bare_res = e_h**2 * xclns3p.clnp3a(z, args=args) + return scale_variations.apply_rensv_kernel( + 2, 1, [bare_res, CLb_2_reg(z, Q, p, nf), CLb_1_reg(z, Q, p, nf)], mur_ratio, nf + ) -def CLb_3_loc(z, Q, p, nf): +def CLb_3_loc(z, Q, p, nf, mur_ratio=1.0): e_h = p[-1] args = np.array([nf], dtype=float) - return e_h**2 * xclns3p.clnp3c(z, args=args) + bare_res = e_h**2 * xclns3p.clnp3c(z, args=args) + return scale_variations.apply_rensv_kernel( + 1, 2, [bare_res, CLb_2_loc(z, Q, p, nf)], mur_ratio, nf + ) diff --git a/src/dis_tp/TildeCoeffFunc.py b/src/dis_tp/TildeCoeffFunc.py index 4c46bb1..21248a4 100755 --- a/src/dis_tp/TildeCoeffFunc.py +++ b/src/dis_tp/TildeCoeffFunc.py @@ -5,7 +5,7 @@ from eko.constants import CA, CF, TR from . import Initialize as Ini -from . import parameters +from . import parameters, scale_variations from .MassiveCoeffFunc import ( Cg_1_m_reg, Cg_2_m_reg, @@ -95,24 +95,37 @@ def Mbg1_Mgg2_sing(x, p, _nf): # F2 -def Cg_1_til_reg(z, Q, p, _nf): - return Cg_1_m_reg(z, Q, p, _nf - 1) - 2 * Cb_0_loc(z, Q, p, _nf) * Mbg_1(z, p, _nf) +def Cg_1_til_reg(z, Q, p, _nf, mur_ratio=1.0): + bare_res = Cg_1_m_reg(z, Q, p, _nf - 1) - 2 * Cb_0_loc(z, Q, p, _nf) * Mbg_1( + z, p, _nf + ) + return scale_variations.apply_rensv_kernel(0, 1, [bare_res], mur_ratio, _nf) -def Cg_2_til_reg(z, Q, p, _nf): - return ( +def Cg_2_til_reg(z, Q, p, _nf, mur_ratio=1.0): + bare_res = ( Cg_2_m_reg(z, Q, p, _nf - 1) - 2 * Cb_0_loc(z, Q, p, _nf) * (Mbg_2(z, p, _nf) - Mbg_1(z, p, _nf) * Mgg_1_loc(z, p, _nf)) - 2 * np.log((Q**2) / (p[0] ** 2)) * Cb1_Mbg1(z, p, _nf) ) + return scale_variations.apply_rensv_kernel( + 1, 1, [bare_res, Cg_1_til_reg(z, Q, p, _nf)], mur_ratio, _nf + ) -def Cg_3_til_reg(z, Q, p, nf, use_analytic=False): +def Cg_3_til_reg(z, Q, p, nf, use_analytic=False, mur_ratio=1.0): if parameters.grids and not use_analytic: - return Ini.Cg3_til[nf - 4](z, Q)[0] - return ( + bare_res = Ini.Cg3_til[nf - 4](z, Q)[0] + return scale_variations.apply_rensv_kernel( + 2, + 1, + [bare_res, Cg_2_til_reg(z, Q, p, nf), Cg_1_til_reg(z, Q, p, nf)], + mur_ratio, + nf, + ) + bare_res = ( Cg_3_m_reg(z, Q, p, nf) + Cg_2_m_reg(z, Q, p, nf - 1) * Mgg_1_loc(z, p, nf - 1) + P2(p) * Cg_1_m_reg(z, Q, p, nf - 1) @@ -149,16 +162,29 @@ def Cg_3_til_reg(z, Q, p, nf, use_analytic=False): + Convolute_plus_coeff(Cb_2_sing, Mbg_1, z, Q, p, nf - 1) ) ) + return scale_variations.apply_rensv_kernel( + 2, + 1, + [bare_res, Cg_2_til_reg(z, Q, p, nf), Cg_1_til_reg(z, Q, p, nf)], + mur_ratio, + nf, + ) -def Cq_2_til_reg(z, Q, p, _nf): - return Cq_2_m_reg(z, Q, p, _nf - 1) - 2 * Cb_0_loc(z, Q, p, _nf) * Mbq_2(z, p, _nf) +def Cq_2_til_reg(z, Q, p, _nf, mur_ratio=1.0): + bare_res = Cq_2_m_reg(z, Q, p, _nf - 1) - 2 * Cb_0_loc(z, Q, p, _nf) * Mbq_2( + z, p, _nf + ) + return scale_variations.apply_rensv_kernel(0, 2, [bare_res], mur_ratio, _nf) -def Cq_3_til_reg(z, Q, p, nf, use_analytic=False): +def Cq_3_til_reg(z, Q, p, nf, use_analytic=False, mur_ratio=1.0): if parameters.grids and not use_analytic: - return Ini.Cq3_til[nf - 4](z, Q)[0] - return ( + bare_res = Ini.Cq3_til[nf - 4](z, Q)[0] + return scale_variations.apply_rensv_kernel( + 1, 2, [bare_res, Cq_2_til_reg(z, Q, p, nf)], mur_ratio, nf + ) + bare_res = ( Cq_3_m_reg(z, Q, p, nf) + 2 * Cq_2_m_reg(z, Q, p, nf - 1) * Mgg_1_loc(z, p, nf - 1) - Convolute(Cg_1_m_reg, Mgq_2_reg, z, Q, p, nf - 1, nf - 1) @@ -173,23 +199,37 @@ def Cq_3_til_reg(z, Q, p, nf, use_analytic=False): Cb_0_loc(z, Q, p, nf) * Mbq_3_reg(z, p, nf) ) # This is called with nf instead of nf-1 but the grid is computed correctly with nf-1 ) + return scale_variations.apply_rensv_kernel( + 1, 2, [bare_res, Cq_2_til_reg(z, Q, p, nf)], mur_ratio, nf + ) # FL -def CLg_1_til_reg(z, Q, p, _nf): - return CLg_1_m_reg(z, Q, p, _nf - 1) +def CLg_1_til_reg(z, Q, p, _nf, mur_ratio=1.0): + bare_res = CLg_1_m_reg(z, Q, p, _nf - 1) + return scale_variations.apply_rensv_kernel(0, 1, [bare_res], mur_ratio, _nf) -def CLg_2_til_reg(z, Q, p, _nf): - return CLg_2_m_reg(z, Q, p, _nf - 1) - 2 * np.log( +def CLg_2_til_reg(z, Q, p, _nf, mur_ratio=1.0): + bare_res = CLg_2_m_reg(z, Q, p, _nf - 1) - 2 * np.log( (Q**2) / (p[0] ** 2) ) * CLb1_Mbg1(z, p, _nf) + return scale_variations.apply_rensv_kernel( + 1, 1, [bare_res, CLg_1_til_reg(z, Q, p, _nf)], mur_ratio, _nf + ) -def CLg_3_til_reg(z, Q, p, nf, use_analytic=False): +def CLg_3_til_reg(z, Q, p, nf, use_analytic=False, mur_ratio=1.0): if parameters.grids and not use_analytic: - return Ini.CLg3_til[nf - 4](z, Q)[0] - return ( + bare_res = Ini.CLg3_til[nf - 4](z, Q)[0] + return scale_variations.apply_rensv_kernel( + 2, + 1, + [bare_res, CLg_2_til_reg(z, Q, p, nf), CLg_1_til_reg(z, Q, p, nf)], + mur_ratio, + nf, + ) + bare_res = ( CLg_3_m_reg(z, Q, p, nf) + CLg_2_m_reg(z, Q, p, nf - 1) * Mgg_1_loc(z, p, nf - 1) + P2(p) * CLg_1_m_reg(z, Q, p, nf - 1) @@ -209,18 +249,32 @@ def CLg_3_til_reg(z, Q, p, nf, use_analytic=False): + Convolute(CLb_2_reg, Mbg_1, z, Q, p, nf - 1) ) ) + return scale_variations.apply_rensv_kernel( + 2, + 1, + [bare_res, CLg_2_til_reg(z, Q, p, nf), CLg_1_til_reg(z, Q, p, nf)], + mur_ratio, + nf, + ) -def CLq_2_til_reg(z, Q, p, _nf): - return CLq_2_m_reg(z, Q, p, _nf - 1) +def CLq_2_til_reg(z, Q, p, _nf, mur_ratio=1.0): + bare_res = CLq_2_m_reg(z, Q, p, _nf - 1) + return scale_variations.apply_rensv_kernel(0, 2, [bare_res], mur_ratio, _nf) -def CLq_3_til_reg(z, Q, p, nf, use_analytic=False): +def CLq_3_til_reg(z, Q, p, nf, use_analytic=False, mur_ratio=1.0): if parameters.grids and not use_analytic: - return Ini.CLq3_til[nf - 4](z, Q)[0] - return ( + bare_res = Ini.CLq3_til[nf - 4](z, Q)[0] + return scale_variations.apply_rensv_kernel( + 1, 2, [bare_res, CLq_2_til_reg(z, Q, p, nf)], mur_ratio, nf + ) + bare_res = ( CLq_3_m_reg(z, Q, p, nf) + 2 * CLq_2_m_reg(z, Q, p, nf - 1) * Mgg_1_loc(z, p, nf - 1) - Convolute(CLg_1_m_reg, Mgq_2_reg, z, Q, p, nf - 1, nf - 1) - 2 * Convolute(CLb_1_reg, Mbq_2, z, Q, p, nf - 1) ) + return scale_variations.apply_rensv_kernel( + 1, 2, [bare_res, CLq_2_til_reg(z, Q, p, nf)], mur_ratio, nf + ) diff --git a/src/dis_tp/io.py b/src/dis_tp/io.py index 677283c..0e7fdf5 100644 --- a/src/dis_tp/io.py +++ b/src/dis_tp/io.py @@ -15,7 +15,17 @@ class TheoryParameters: """Class containing all the theory parameters.""" def __init__( - self, order, fns, masses, sc, thr_atlas, thr_atlas_as, grids, full_card=None + self, + order, + fns, + masses, + sc, + thr_atlas, + thr_atlas_as, + grids, + mur_ratio, + muf_ratio, + full_card=None, ): self.order = order self.fns = fns @@ -25,6 +35,8 @@ def __init__( self.strong_coupling = sc self.thr_atlas = thr_atlas self.thr_atlas_as = thr_atlas_as + self.mur_ratio = mur_ratio + self.muf_ratio = muf_ratio self.n3lo_variation = full_card.get("n3lo_cf_variation", 0) if not self.grids: @@ -84,6 +96,8 @@ def load_card(cls, configs, name): kmc = th.get("kcThr", 1.0) kmb = th.get("kbThr", 1.0) kmt = th.get("ktThr", 1.0) + mur_ratio = th.get("mur_ratio", 1.0) + muf_ratio = th.get("muf_ratio", 1.0) thresholds_ratios = np.array([kmc, kmb, kmt]) ** 2 method = CouplingEvolutionMethod.EXPANDED if "ModEv" in th and th["ModEv"] == "EXA": @@ -120,6 +134,8 @@ def load_card(cls, configs, name): sc=sc, thr_atlas=thr_atlas, thr_atlas_as=thr_atlas_as, + mur_ratio=mur_ratio, + muf_ratio=muf_ratio, full_card=th, ) @@ -282,6 +298,10 @@ def dump_result(self, ob, ob_result): + heavyness_dict[ob.heavyness][0] + "_" + ob.heavyness + + "_mur_ratio=" + + str(self.theory_parameters().mur_ratio) + + "_muf_ratio=" + + str(self.theory_parameters().muf_ratio) + "_thr=" + str(thr_ratio) + "_" diff --git a/src/dis_tp/runner.py b/src/dis_tp/runner.py index 32528b4..87b2589 100644 --- a/src/dis_tp/runner.py +++ b/src/dis_tp/runner.py @@ -117,6 +117,8 @@ def compute(self, n_cores): pdf=ob.pdf, h_id=hid, target_dict=self.o_par.target_dict, + muR_ratio=self.t_par.mur_ratio, + muF_ratio=self.t_par.muf_ratio, ) console.log( f"[green]Computing {func.__name__} @ order: {self.t_par.order} ..." diff --git a/src/dis_tp/scale_variations.py b/src/dis_tp/scale_variations.py new file mode 100644 index 0000000..ff3f742 --- /dev/null +++ b/src/dis_tp/scale_variations.py @@ -0,0 +1,70 @@ +import numpy as np +from eko import beta + + +class IncorrectNumberOfIngredients(ValueError): + pass + + +def beta_qcd(order, nf): + return beta.beta_qcd((order + 2, 0), nf) + + +def apply_rensv_kernel( + order: int, m: int, ingredients: list, mur_ratio: float, nf: int +): + """Apply the renormalization scale variation kernel.""" + if np.isclose(mur_ratio, 1.0): + return ingredients[0] + if len(ingredients) != (order + 1): + raise IncorrectNumberOfIngredients + LR = np.log(mur_ratio) + if order == 0: + return ingredients[0] + elif order == 1: + return ingredients[0] - ingredients[-1] * beta_qcd(0, nf) * LR * m + elif order == 2: + return ( + ingredients[0] + - LR + * ( + m * beta_qcd(1, nf) * ingredients[-1] + + (m + 1) * beta_qcd(0, nf) * ingredients[-2] + ) + + 0.5 + * (LR**2) + * m + * (m + 1) + * beta_qcd(0, nf) + * beta_qcd(0, nf) + * ingredients[-1] + ) + elif order == 3: + piece_one = ( + (m + 2) * ingredients[-3] * beta_qcd(0, nf) + + (m + 1) * ingredients[-2] * beta_qcd(1, nf) + + m * ingredients[-1] * beta_qcd(2, nf) + ) + piece_two = (m + 1) * (m + 2) * 0.5 * ingredients[-2] * beta_qcd( + 0, nf + ) * beta_qcd(0, nf) + m * (2 * m + 3) * 0.5 * ingredients[-1] * beta_qcd( + 0, nf + ) * beta_qcd( + 1, nf + ) + piece_three = ( + m + * (m + 1) + * (m + 2) + * (1.0 / 6.0) + * ingredients[-1] + * (beta_qcd(0, nf) ** 3) + ) + return ( + ingredients[0] + + LR * piece_one + + (LR**2) * piece_two + + (LR**3) * piece_three + ) + elif order >= 4: + raise NotImplementedError diff --git a/src/dis_tp/structure_functions/f2.py b/src/dis_tp/structure_functions/f2.py index fc6eb79..4d9ff42 100644 --- a/src/dis_tp/structure_functions/f2.py +++ b/src/dis_tp/structure_functions/f2.py @@ -61,11 +61,13 @@ def F2_FO( res = 0.0 if order >= 1: res += a_s * PDFConvolute( - MassiveCoeffFunc.Cg_1_m_reg, Mypdf, x, Q, p, h_id, g_id + MassiveCoeffFunc.Cg_1_m_reg, Mypdf, x, Q, p, h_id, g_id, muR_ratio ) if order >= 2: res += a_s**2 * ( - PDFConvolute(MassiveCoeffFunc.Cg_2_m_reg, Mypdf, x, Q, p, h_id, g_id) + PDFConvolute( + MassiveCoeffFunc.Cg_2_m_reg, Mypdf, x, Q, p, h_id, g_id, muR_ratio + ) + conv_func( MassiveCoeffFunc.Cq_2_m_reg, Mypdf, @@ -74,6 +76,7 @@ def F2_FO( p, 3 if h_id == 5 and nf == 3 else h_id, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) @@ -81,16 +84,18 @@ def F2_FO( for ihq in range(h_id + 1, 6): pihq = [masses(ihq), Q, charges(h_id)] reg_miss = PDFConvolute( - MassiveCoeffFunc.Cb_2_m_reg, Mypdf, x, Q, pihq, h_id, h_id + MassiveCoeffFunc.Cb_2_m_reg, Mypdf, x, Q, pihq, h_id, h_id, muR_ratio ) - loc_miss = MassiveCoeffFunc.Cb_2_m_loc(x, Q, pihq, h_id) * ( + loc_miss = MassiveCoeffFunc.Cb_2_m_loc(x, Q, pihq, h_id, muR_ratio) * ( Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q) ) res += a_s**2 * (reg_miss + loc_miss) if order >= 3: res += a_s**3 * ( - PDFConvolute(MassiveCoeffFunc.Cg_3_m_reg, Mypdf, x, Q, p, h_id, g_id) + PDFConvolute( + MassiveCoeffFunc.Cg_3_m_reg, Mypdf, x, Q, p, h_id, g_id, muR_ratio + ) + conv_func( MassiveCoeffFunc.Cq_3_m_reg, Mypdf, @@ -99,6 +104,7 @@ def F2_FO( p, 3 if h_id == 5 and nf == 3 else h_id, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) return res @@ -136,9 +142,9 @@ def F2_R(order, pdf, x, Q, h_id, meth=None, target_dict=None, muF_ratio=1, muR_r res = 0.0 if order >= 1: nll_reg = a_s * PDFConvolute( - MasslessCoeffFunc.Cg_1_reg, Mypdf, x, Q, p, nf, g_id + MasslessCoeffFunc.Cg_1_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio ) - nll_local = MasslessCoeffFunc.Cb_0_loc(x, Q, p, nf) * ( + nll_local = MasslessCoeffFunc.Cb_0_loc(x, Q, p, nf, muR_ratio) * ( Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q) ) res += nll_reg + nll_local @@ -146,7 +152,9 @@ def F2_R(order, pdf, x, Q, h_id, meth=None, target_dict=None, muF_ratio=1, muR_r nnll_reg = a_s * ( a_s * ( - PDFConvolute(MasslessCoeffFunc.Cg_2_reg, Mypdf, x, Q, p, nf, g_id) + PDFConvolute( + MasslessCoeffFunc.Cg_2_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio + ) + PDFConvolute( MasslessCoeffFunc.Cq_2_reg, Mypdf, @@ -155,17 +163,20 @@ def F2_R(order, pdf, x, Q, h_id, meth=None, target_dict=None, muF_ratio=1, muR_r p, nf, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) - + PDFConvolute(MasslessCoeffFunc.Cb_1_reg, Mypdf, x, Q, p, nf, h_id) + + PDFConvolute( + MasslessCoeffFunc.Cb_1_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio + ) ) nnll_local = ( a_s - * MasslessCoeffFunc.Cb_1_loc(x, Q, p, nf) + * MasslessCoeffFunc.Cb_1_loc(x, Q, p, nf, muR_ratio) * (Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q)) ) nnll_sing = a_s * PDFConvolute_plus( - MasslessCoeffFunc.Cb_1_sing, Mypdf, x, Q, p, nf, h_id + MasslessCoeffFunc.Cb_1_sing, Mypdf, x, Q, p, nf, h_id, muR_ratio ) res += nnll_reg + nnll_local + nnll_sing if order >= 3: @@ -175,7 +186,9 @@ def F2_R(order, pdf, x, Q, h_id, meth=None, target_dict=None, muF_ratio=1, muR_r n3ll_reg = (a_s**2) * ( a_s * ( - PDFConvolute(MasslessCoeffFunc.Cg_3_reg, Mypdf, x, Q, pg, nf, g_id) + PDFConvolute( + MasslessCoeffFunc.Cg_3_reg, Mypdf, x, Q, pg, nf, g_id, muR_ratio + ) + PDFConvolute( MasslessCoeffFunc.Cq_3_reg, Mypdf, @@ -184,23 +197,27 @@ def F2_R(order, pdf, x, Q, h_id, meth=None, target_dict=None, muF_ratio=1, muR_r ps, nf, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) - + PDFConvolute(MasslessCoeffFunc.Cb_2_reg, Mypdf, x, Q, p, nf, h_id) + + PDFConvolute( + MasslessCoeffFunc.Cb_2_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio + ) ) n3ll_local = (a_s**2) * ( - MasslessCoeffFunc.Cb_2_loc(x, Q, p, nf) + MasslessCoeffFunc.Cb_2_loc(x, Q, p, nf, muR_ratio) * (Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q)) + a_s * ( - MasslessCoeffFunc.Cg_3_loc(x, Q, pg, nf) * Mypdf.xfxQ2(h_id, x, Q * Q) - + MasslessCoeffFunc.Cq_3_loc(x, Q, ps, nf) + MasslessCoeffFunc.Cg_3_loc(x, Q, pg, nf, muR_ratio) + * Mypdf.xfxQ2(h_id, x, Q * Q) + + MasslessCoeffFunc.Cq_3_loc(x, Q, ps, nf, muR_ratio) * singlet_pdf(Mypdf, x, Q, nf, target_dict) ) ) n3ll_sing = a_s**2 * PDFConvolute_plus( - MasslessCoeffFunc.Cb_2_sing, Mypdf, x, Q, p, nf, h_id + MasslessCoeffFunc.Cb_2_sing, Mypdf, x, Q, p, nf, h_id, muR_ratio ) res += n3ll_reg + n3ll_local + n3ll_sing return res @@ -243,9 +260,9 @@ def F2_M(order, pdf, x, Q, h_id, meth, target_dict=None, muF_ratio=1, muR_ratio= res = 0.0 if order >= 1: nlo_nll_reg = a_s * PDFConvolute( - TildeCoeffFunc.Cg_1_til_reg, Mypdf, x, Q, p, nf, g_id + TildeCoeffFunc.Cg_1_til_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio ) - nlo_nll_local = MasslessCoeffFunc.Cb_0_loc(x, Q, p, nf) * ( + nlo_nll_local = MasslessCoeffFunc.Cb_0_loc(x, Q, p, nf, muR_ratio) * ( Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q) ) res += nlo_nll_reg + nlo_nll_local @@ -253,7 +270,9 @@ def F2_M(order, pdf, x, Q, h_id, meth, target_dict=None, muF_ratio=1, muR_ratio= nnlo_nnll_reg = a_s * ( a_s * ( - PDFConvolute(TildeCoeffFunc.Cg_2_til_reg, Mypdf, x, Q, p, nf, g_id) + PDFConvolute( + TildeCoeffFunc.Cg_2_til_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio + ) + PDFConvolute( TildeCoeffFunc.Cq_2_til_reg, Mypdf, @@ -262,24 +281,29 @@ def F2_M(order, pdf, x, Q, h_id, meth, target_dict=None, muF_ratio=1, muR_ratio= p, nf, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) - + PDFConvolute(MasslessCoeffFunc.Cb_1_reg, Mypdf, x, Q, p, nf, h_id) + + PDFConvolute( + MasslessCoeffFunc.Cb_1_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio + ) ) nnlo_nnll_local = ( a_s - * MasslessCoeffFunc.Cb_1_loc(x, Q, p, nf) + * MasslessCoeffFunc.Cb_1_loc(x, Q, p, nf, muR_ratio) * (Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q)) ) nnlo_nnll_sing = a_s * PDFConvolute_plus( - MasslessCoeffFunc.Cb_1_sing, Mypdf, x, Q, p, nf, h_id + MasslessCoeffFunc.Cb_1_sing, Mypdf, x, Q, p, nf, h_id, muR_ratio ) res += nnlo_nnll_reg + nnlo_nnll_local + nnlo_nnll_sing if order >= 3: n3lo_n3ll_reg = (a_s**2) * ( a_s * ( - PDFConvolute(TildeCoeffFunc.Cg_3_til_reg, Mypdf, x, Q, p, nf, g_id) + PDFConvolute( + TildeCoeffFunc.Cg_3_til_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio + ) + PDFConvolute( TildeCoeffFunc.Cq_3_til_reg, Mypdf, @@ -288,41 +312,50 @@ def F2_M(order, pdf, x, Q, h_id, meth, target_dict=None, muF_ratio=1, muR_ratio= p, nf, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) - + PDFConvolute(MasslessCoeffFunc.Cb_2_reg, Mypdf, x, Q, p, nf, h_id) + + PDFConvolute( + MasslessCoeffFunc.Cb_2_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio + ) ) n3lo_n3ll_local = ( (a_s**2) - * MasslessCoeffFunc.Cb_2_loc(x, Q, p, nf) + * MasslessCoeffFunc.Cb_2_loc(x, Q, p, nf, muR_ratio) * (Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q)) ) n3lo_n3ll_sing = a_s**2 * PDFConvolute_plus( - MasslessCoeffFunc.Cb_2_sing, Mypdf, x, Q, p, nf, h_id + MasslessCoeffFunc.Cb_2_sing, Mypdf, x, Q, p, nf, h_id, muR_ratio ) res += n3lo_n3ll_reg + n3lo_n3ll_local + n3lo_n3ll_sing if meth == "fonll": if order >= 0: - res = MasslessCoeffFunc.Cb_0_loc(x, Q, p, nf) * ( + res = MasslessCoeffFunc.Cb_0_loc(x, Q, p, nf, muR_ratio) * ( Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q) ) if order >= 1: nlo_nll_reg = a_s * ( - PDFConvolute(TildeCoeffFunc.Cg_1_til_reg, Mypdf, x, Q, p, nf, g_id) - + PDFConvolute(MasslessCoeffFunc.Cb_1_reg, Mypdf, x, Q, p, nf, h_id) + PDFConvolute( + TildeCoeffFunc.Cg_1_til_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio + ) + + PDFConvolute( + MasslessCoeffFunc.Cb_1_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio + ) ) nlo_nll_local = ( a_s - * MasslessCoeffFunc.Cb_1_loc(x, Q, p, nf) + * MasslessCoeffFunc.Cb_1_loc(x, Q, p, nf, muR_ratio) * (Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q)) ) nlo_nll_singular = a_s * PDFConvolute_plus( - MasslessCoeffFunc.Cb_1_sing, Mypdf, x, Q, p, nf, h_id + MasslessCoeffFunc.Cb_1_sing, Mypdf, x, Q, p, nf, h_id, muR_ratio ) res += nlo_nll_reg + nlo_nll_local + nlo_nll_singular if order >= 2: nnlo_nnll_reg = a_s**2 * ( - PDFConvolute(TildeCoeffFunc.Cg_2_til_reg, Mypdf, x, Q, p, nf, g_id) + PDFConvolute( + TildeCoeffFunc.Cg_2_til_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio + ) + PDFConvolute( TildeCoeffFunc.Cq_2_til_reg, Mypdf, @@ -331,16 +364,19 @@ def F2_M(order, pdf, x, Q, h_id, meth, target_dict=None, muF_ratio=1, muR_ratio= p, nf, target_dict=target_dict, + mur_ratio=muR_ratio, + ) + + PDFConvolute( + MasslessCoeffFunc.Cb_2_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio ) - + PDFConvolute(MasslessCoeffFunc.Cb_2_reg, Mypdf, x, Q, p, nf, h_id) ) nnlo_nnll_local = ( a_s**2 - * MasslessCoeffFunc.Cb_2_loc(x, Q, p, nf) + * MasslessCoeffFunc.Cb_2_loc(x, Q, p, nf, muR_ratio) * (Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q)) ) nnlo_nnll_sing = a_s**2 * PDFConvolute_plus( - MasslessCoeffFunc.Cb_2_sing, Mypdf, x, Q, p, nf, h_id + MasslessCoeffFunc.Cb_2_sing, Mypdf, x, Q, p, nf, h_id, muR_ratio ) res += nnlo_nnll_reg + nnlo_nnll_local + nnlo_nnll_sing @@ -348,9 +384,9 @@ def F2_M(order, pdf, x, Q, h_id, meth, target_dict=None, muF_ratio=1, muR_ratio= for ihq in range(h_id + 1, 6): pihq = [masses(ihq), Q, charges(h_id)] reg_miss = PDFConvolute( - MassiveCoeffFunc.Cb_2_m_reg, Mypdf, x, Q, pihq, nf, h_id + MassiveCoeffFunc.Cb_2_m_reg, Mypdf, x, Q, pihq, nf, h_id, muR_ratio ) - loc_miss = MassiveCoeffFunc.Cb_2_m_loc(x, Q, pihq, nf) * ( + loc_miss = MassiveCoeffFunc.Cb_2_m_loc(x, Q, pihq, nf, muR_ratio) * ( Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q) ) res += a_s**2 * (reg_miss + loc_miss) @@ -359,7 +395,9 @@ def F2_M(order, pdf, x, Q, h_id, meth, target_dict=None, muF_ratio=1, muR_ratio= pns = [masses(h_id), Q, 0, charges(h_id)] pns[2] = n3lo_color_factors("ns", nf, False) n3lo_n3ll_reg = a_s**3 * ( - PDFConvolute(TildeCoeffFunc.Cg_3_til_reg, Mypdf, x, Q, p, nf, g_id) + PDFConvolute( + TildeCoeffFunc.Cg_3_til_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio + ) + PDFConvolute( TildeCoeffFunc.Cq_3_til_reg, Mypdf, @@ -368,16 +406,19 @@ def F2_M(order, pdf, x, Q, h_id, meth, target_dict=None, muF_ratio=1, muR_ratio= p, nf, target_dict=target_dict, + mur_ratio=muR_ratio, + ) + + PDFConvolute( + MasslessCoeffFunc.Cb_3_reg, Mypdf, x, Q, pns, nf, h_id, muR_ratio ) - + PDFConvolute(MasslessCoeffFunc.Cb_3_reg, Mypdf, x, Q, pns, nf, h_id) ) n3lo_n3ll_local = ( a_s**3 - * MasslessCoeffFunc.Cb_3_loc(x, Q, pns, nf) + * MasslessCoeffFunc.Cb_3_loc(x, Q, pns, nf, muR_ratio) * (Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q)) ) n3lo_n3ll_sing = a_s**3 * PDFConvolute_plus( - MasslessCoeffFunc.Cb_3_sing, Mypdf, x, Q, pns, nf, h_id + MasslessCoeffFunc.Cb_3_sing, Mypdf, x, Q, pns, nf, h_id, muR_ratio ) res += n3lo_n3ll_reg + n3lo_n3ll_local + n3lo_n3ll_sing return res diff --git a/src/dis_tp/structure_functions/fl.py b/src/dis_tp/structure_functions/fl.py index 345373f..044697b 100644 --- a/src/dis_tp/structure_functions/fl.py +++ b/src/dis_tp/structure_functions/fl.py @@ -59,11 +59,13 @@ def FL_FO( res = 0.0 if order >= 1: res += a_s * PDFConvolute( - MassiveCoeffFunc.CLg_1_m_reg, Mypdf, x, Q, p, h_id, g_id + MassiveCoeffFunc.CLg_1_m_reg, Mypdf, x, Q, p, h_id, g_id, muR_ratio ) if order >= 2: res += a_s**2 * ( - PDFConvolute(MassiveCoeffFunc.CLg_2_m_reg, Mypdf, x, Q, p, h_id, g_id) + PDFConvolute( + MassiveCoeffFunc.CLg_2_m_reg, Mypdf, x, Q, p, h_id, g_id, muR_ratio + ) + conv_func( MassiveCoeffFunc.CLq_2_m_reg, Mypdf, @@ -72,6 +74,7 @@ def FL_FO( p, 3 if h_id == 5 and nf == 3 else h_id, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) @@ -79,13 +82,15 @@ def FL_FO( for ihq in range(h_id + 1, 6): pihq = [masses(ihq), Q, charges(h_id)] reg_miss = PDFConvolute( - MassiveCoeffFunc.CLb_2_m_reg, Mypdf, x, Q, pihq, h_id, h_id + MassiveCoeffFunc.CLb_2_m_reg, Mypdf, x, Q, pihq, h_id, h_id, muR_ratio ) res += a_s**2 * reg_miss if order >= 3: res += a_s**3 * ( - PDFConvolute(MassiveCoeffFunc.CLg_3_m_reg, Mypdf, x, Q, p, h_id, g_id) + PDFConvolute( + MassiveCoeffFunc.CLg_3_m_reg, Mypdf, x, Q, p, h_id, g_id, muR_ratio + ) + conv_func( MassiveCoeffFunc.CLq_3_m_reg, Mypdf, @@ -94,6 +99,7 @@ def FL_FO( p, 3 if h_id == 5 and nf == 3 else h_id, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) return res @@ -131,12 +137,16 @@ def FL_R(order, pdf, x, Q, h_id, meth=None, muF_ratio=1, target_dict=None, muR_r if order >= 0: res = 0.0 if order >= 1: - res += a_s * PDFConvolute(MasslessCoeffFunc.CLg_1_reg, Mypdf, x, Q, p, nf, g_id) + res += a_s * PDFConvolute( + MasslessCoeffFunc.CLg_1_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio + ) if order >= 2: nnll_reg = a_s * ( a_s * ( - PDFConvolute(MasslessCoeffFunc.CLg_2_reg, Mypdf, x, Q, p, nf, g_id) + PDFConvolute( + MasslessCoeffFunc.CLg_2_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio + ) + PDFConvolute( MasslessCoeffFunc.CLq_2_reg, Mypdf, @@ -145,9 +155,12 @@ def FL_R(order, pdf, x, Q, h_id, meth=None, muF_ratio=1, target_dict=None, muR_r p, nf, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) - + PDFConvolute(MasslessCoeffFunc.CLb_1_reg, Mypdf, x, Q, p, nf, h_id) + + PDFConvolute( + MasslessCoeffFunc.CLb_1_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio + ) ) res += nnll_reg if order >= 3: @@ -157,7 +170,9 @@ def FL_R(order, pdf, x, Q, h_id, meth=None, muF_ratio=1, target_dict=None, muR_r n3ll_reg = a_s**2 * ( a_s * ( - PDFConvolute(MasslessCoeffFunc.CLg_3_reg, Mypdf, x, Q, pg, nf, g_id) + PDFConvolute( + MasslessCoeffFunc.CLg_3_reg, Mypdf, x, Q, pg, nf, g_id, muR_ratio + ) + PDFConvolute( MasslessCoeffFunc.CLq_3_reg, Mypdf, @@ -166,12 +181,15 @@ def FL_R(order, pdf, x, Q, h_id, meth=None, muF_ratio=1, target_dict=None, muR_r ps, nf, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) - + PDFConvolute(MasslessCoeffFunc.CLb_2_reg, Mypdf, x, Q, p, nf, h_id) + + PDFConvolute( + MasslessCoeffFunc.CLb_2_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio + ) ) n3ll_loc = a_s**2 * ( - MasslessCoeffFunc.CLb_2_loc(x, Q, p, nf) + MasslessCoeffFunc.CLb_2_loc(x, Q, p, nf, muR_ratio) * (Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q)) ) res += n3ll_reg + n3ll_loc @@ -213,13 +231,22 @@ def FL_M(order, pdf, x, Q, h_id, meth, muF_ratio=1, target_dict=None, muR_ratio= res = 0.0 if order >= 1: res += a_s * PDFConvolute( - TildeCoeffFunc.CLg_1_til_reg, Mypdf, x, Q, p, nf, g_id + TildeCoeffFunc.CLg_1_til_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio ) if order >= 2: nnlo_nnll_reg = a_s * ( a_s * ( - PDFConvolute(TildeCoeffFunc.CLg_2_til_reg, Mypdf, x, Q, p, nf, g_id) + PDFConvolute( + TildeCoeffFunc.CLg_2_til_reg, + Mypdf, + x, + Q, + p, + nf, + g_id, + muR_ratio, + ) + PDFConvolute( TildeCoeffFunc.CLq_2_til_reg, Mypdf, @@ -228,16 +255,28 @@ def FL_M(order, pdf, x, Q, h_id, meth, muF_ratio=1, target_dict=None, muR_ratio= p, nf, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) - + PDFConvolute(MasslessCoeffFunc.CLb_1_reg, Mypdf, x, Q, p, nf, h_id) + + PDFConvolute( + MasslessCoeffFunc.CLb_1_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio + ) ) res += nnlo_nnll_reg if order >= 3: n3lo_n3ll_reg = a_s**2 * ( a_s * ( - PDFConvolute(TildeCoeffFunc.CLg_3_til_reg, Mypdf, x, Q, p, nf, g_id) + PDFConvolute( + TildeCoeffFunc.CLg_3_til_reg, + Mypdf, + x, + Q, + p, + nf, + g_id, + muR_ratio, + ) + PDFConvolute( TildeCoeffFunc.CLq_3_til_reg, Mypdf, @@ -246,14 +285,17 @@ def FL_M(order, pdf, x, Q, h_id, meth, muF_ratio=1, target_dict=None, muR_ratio= p, nf, target_dict=target_dict, + mur_ratio=muR_ratio, ) ) - + PDFConvolute(MasslessCoeffFunc.CLb_2_reg, Mypdf, x, Q, p, nf, h_id) + + PDFConvolute( + MasslessCoeffFunc.CLb_2_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio + ) ) n3lo_n3ll_loc = ( a_s * a_s - * MasslessCoeffFunc.CLb_2_loc(x, Q, p, nf) + * MasslessCoeffFunc.CLb_2_loc(x, Q, p, nf, muR_ratio) * (Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q)) ) res += n3lo_n3ll_loc + n3lo_n3ll_reg @@ -262,12 +304,18 @@ def FL_M(order, pdf, x, Q, h_id, meth, muF_ratio=1, target_dict=None, muR_ratio= res = 0.0 if order >= 1: res += a_s * ( - PDFConvolute(TildeCoeffFunc.CLg_1_til_reg, Mypdf, x, Q, p, nf, g_id) - + PDFConvolute(MasslessCoeffFunc.CLb_1_reg, Mypdf, x, Q, p, nf, h_id) + PDFConvolute( + TildeCoeffFunc.CLg_1_til_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio + ) + + PDFConvolute( + MasslessCoeffFunc.CLb_1_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio + ) ) if order >= 2: nnlo_nnll_reg = a_s**2 * ( - PDFConvolute(TildeCoeffFunc.CLg_2_til_reg, Mypdf, x, Q, p, nf, g_id) + PDFConvolute( + TildeCoeffFunc.CLg_2_til_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio + ) + PDFConvolute( TildeCoeffFunc.CLq_2_til_reg, Mypdf, @@ -276,12 +324,15 @@ def FL_M(order, pdf, x, Q, h_id, meth, muF_ratio=1, target_dict=None, muR_ratio= p, nf, target_dict=target_dict, + mur_ratio=muR_ratio, + ) + + PDFConvolute( + MasslessCoeffFunc.CLb_2_reg, Mypdf, x, Q, p, nf, h_id, muR_ratio ) - + PDFConvolute(MasslessCoeffFunc.CLb_2_reg, Mypdf, x, Q, p, nf, h_id) ) nnlo_nnll_loc = ( a_s**2 - * MasslessCoeffFunc.CLb_2_loc(x, Q, p, nf) + * MasslessCoeffFunc.CLb_2_loc(x, Q, p, nf, muR_ratio) * (Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q)) ) res += nnlo_nnll_reg + nnlo_nnll_loc @@ -290,7 +341,7 @@ def FL_M(order, pdf, x, Q, h_id, meth, muF_ratio=1, target_dict=None, muR_ratio= for ihq in range(h_id + 1, 6): pihq = [masses(ihq), Q, charges(h_id)] reg_miss = PDFConvolute( - MassiveCoeffFunc.CLb_2_m_reg, Mypdf, x, Q, pihq, nf, h_id + MassiveCoeffFunc.CLb_2_m_reg, Mypdf, x, Q, pihq, nf, h_id, muR_ratio ) res += a_s**2 * reg_miss @@ -298,7 +349,9 @@ def FL_M(order, pdf, x, Q, h_id, meth, muF_ratio=1, target_dict=None, muR_ratio= pns = [masses(h_id), Q, 0, charges(h_id)] pns[2] = n3lo_color_factors("ns", nf, False) n3lo_n3ll_reg = a_s**3 * ( - PDFConvolute(TildeCoeffFunc.CLg_3_til_reg, Mypdf, x, Q, p, nf, g_id) + PDFConvolute( + TildeCoeffFunc.CLg_3_til_reg, Mypdf, x, Q, p, nf, g_id, muR_ratio + ) + PDFConvolute( TildeCoeffFunc.CLq_3_til_reg, Mypdf, @@ -307,12 +360,15 @@ def FL_M(order, pdf, x, Q, h_id, meth, muF_ratio=1, target_dict=None, muR_ratio= p, nf, target_dict=target_dict, + mur_ratio=muR_ratio, + ) + + PDFConvolute( + MasslessCoeffFunc.CLb_3_reg, Mypdf, x, Q, pns, nf, h_id, muR_ratio ) - + PDFConvolute(MasslessCoeffFunc.CLb_3_reg, Mypdf, x, Q, pns, nf, h_id) ) n3lo_n3ll_loc = ( a_s**3 - * MasslessCoeffFunc.CLb_3_loc(x, Q, pns, nf) + * MasslessCoeffFunc.CLb_3_loc(x, Q, pns, nf, muR_ratio) * (Mypdf.xfxQ2(h_id, x, Q * Q) + Mypdf.xfxQ2(-h_id, x, Q * Q)) ) res += n3lo_n3ll_reg + n3lo_n3ll_loc diff --git a/src/dis_tp/structure_functions/heavy_tools.py b/src/dis_tp/structure_functions/heavy_tools.py index fb79e10..c433ff3 100755 --- a/src/dis_tp/structure_functions/heavy_tools.py +++ b/src/dis_tp/structure_functions/heavy_tools.py @@ -7,12 +7,13 @@ from .light_tools import apply_isospin_roation -def PDFConvolute(func1, pdf, x, Q, p1, nf, pid=None, target_dict=None): +def PDFConvolute(func1, pdf, x, Q, p1, nf, pid=None, target_dict=None, mur_ratio=1.0): lower = x upper = 1.0 if pid == 21: result, error = integrate.quad( - lambda z: func1(z, Q, p1, nf) * pdf.xfxQ2(pid, x * (1.0 / z), Q * Q), + lambda z: func1(z, Q, p1, nf, mur_ratio) + * pdf.xfxQ2(pid, x * (1.0 / z), Q * Q), lower, upper, epsabs=1e-12, @@ -22,7 +23,7 @@ def PDFConvolute(func1, pdf, x, Q, p1, nf, pid=None, target_dict=None): ) elif pid in [4, 5, 6]: result, error = integrate.quad( - lambda z: func1(z, Q, p1, nf) + lambda z: func1(z, Q, p1, nf, mur_ratio) * ( pdf.xfxQ2(pid, x * (1.0 / z), Q * Q) + pdf.xfxQ2(-pid, x * (1.0 / z), Q * Q) @@ -46,7 +47,7 @@ def light_pdfs(z): return np.sum(light_pdfs) result, error = integrate.quad( - lambda z: func1(z, Q, p1, nf) * light_pdfs(z), + lambda z: func1(z, Q, p1, nf, mur_ratio) * light_pdfs(z), lower, upper, epsabs=1e-12, @@ -57,12 +58,14 @@ def light_pdfs(z): return result -def Convolute(func1, matching, x, Q, p1, nf, nl=None): +def Convolute(func1, matching, x, Q, p1, nf, nl=None, mur_ratio=1.0): lower = x upper = 1.0 nl = nf if nl is None else nl result, _ = integrate.quad( - lambda z: (1.0 / z) * func1(z, Q, p1, nl) * matching(x * (1.0 / z), p1, nf), + lambda z: (1.0 / z) + * func1(z, Q, p1, nl, mur_ratio) + * matching(x * (1.0 / z), p1, nf), lower, upper, epsabs=1e-12, @@ -88,10 +91,12 @@ def Convolute_matching(matching1, matching2, x, Q, p1, nf): return result -def PDFConvolute_plus(func1, pdf, x, Q, p1, nf, pid=None, target_dict=None): +def PDFConvolute_plus( + func1, pdf, x, Q, p1, nf, pid=None, target_dict=None, mur_ratio=1.0 +): if pid == 21: plus1, error1 = integrate.quad( - lambda z: func1(z, Q, p1, nf) + lambda z: func1(z, Q, p1, nf, mur_ratio) * (pdf.xfxQ2(pid, x * (1.0 / z), Q * Q) - pdf.xfxQ2(pid, x, Q * Q)), x, 1.0, @@ -102,7 +107,7 @@ def PDFConvolute_plus(func1, pdf, x, Q, p1, nf, pid=None, target_dict=None): ) elif pid in [4, 5, 6]: plus1, error1 = integrate.quad( - lambda z: func1(z, Q, p1, nf) + lambda z: func1(z, Q, p1, nf, mur_ratio) * ( pdf.xfxQ2(pid, x * (1.0 / z), Q * Q) + pdf.xfxQ2(-pid, x * (1.0 / z), Q * Q) @@ -129,7 +134,7 @@ def light_pdfs(z): return np.sum(light_pdfs - light_pdfs_x) plus1, error1 = integrate.quad( - lambda z: func1(z, Q, p1, nf) * light_pdfs(z), + lambda z: func1(z, Q, p1, nf, mur_ratio) * light_pdfs(z), x, 1.0, epsabs=1e-12, @@ -140,9 +145,9 @@ def light_pdfs(z): return plus1 -def Convolute_plus_coeff(func1, matching, x, Q, p1, nf): +def Convolute_plus_coeff(func1, matching, x, Q, p1, nf, mur_ratio=1.0): plus1, error1 = integrate.quad( - lambda z: func1(z, Q, p1, nf) + lambda z: func1(z, Q, p1, nf, mur_ratio) * ((1.0 / z) * matching(x * (1.0 / z), p1, nf) - matching(x, p1, nf)), x, 1.0, @@ -154,11 +159,14 @@ def Convolute_plus_coeff(func1, matching, x, Q, p1, nf): return plus1 -def Convolute_plus_matching(func1, matching, x, Q, p1, nf, nl=None): +def Convolute_plus_matching(func1, matching, x, Q, p1, nf, nl=None, mur_ratio=1.0): nl = nf if nl is None else nl plus1, error1 = integrate.quad( lambda z: matching(z, p1, nf) - * ((1.0 / z) * func1(x * (1.0 / z), Q, p1, nl) - func1(x, Q, p1, nf)), + * ( + (1.0 / z) * func1(x * (1.0 / z), Q, p1, nl, mur_ratio) + - func1(x, Q, p1, nf, mur_ratio) + ), x, 1.0, epsabs=1e-12,