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IC CC #109

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May 5, 2021
Merged

IC CC #109

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a2b69d2
Init IC CC
felixhekhorn May 4, 2021
215d0e3
Fix F3 IC
felixhekhorn May 5, 2021
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12 changes: 6 additions & 6 deletions benchmarks/runners/sandbox.py
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Expand Up @@ -79,11 +79,11 @@ def generate_observables():
kinematics = []
kinematics.extend(
#[dict(x=0.1,Q2=90, y=0)]
[dict(x=x, Q2=20.0) for x in xgrid[::5]]
#[dict(x=x, Q2=20.0, y=0) for x in np.geomspace(1e-4, 1, 10)]
#[dict(x=x, Q2=20.0) for x in xgrid[:-1:5]]
[dict(x=x, Q2=20.0, y=0) for x in np.geomspace(1e-4, .9, 10)]
)
kinematics.extend(
[dict(x=x, Q2=1.51**2, y=0) for x in np.geomspace(1e-4, 1, 10)]
[dict(x=x, Q2=1.51**2, y=0) for x in np.geomspace(1e-4, .9, 10)]
)
# kinematics.extend([dict(x=x, Q2=90) for x in np.linspace(.8, .99, 10).tolist()])
#kinematics.extend([dict(x=0.10914375746330703, Q2=Q2) for Q2 in np.geomspace(4, 1e3, 10).tolist()])
Expand All @@ -94,12 +94,12 @@ def generate_observables():
kinematics.extend([dict(x=0.001, Q2=Q2,y=0) for Q2 in np.geomspace(4, 20, 10).tolist()])
observable_names = [
#"F2_light",
"F2_charm",
#"F2_charm",
# "F2_bottom",
# "F2_top",
#"F2_total",
#"FL_light",
"FL_charm",
#"FL_charm",
# "FL_bottom",
# "FL_total",
#"F3_light",
Expand All @@ -124,7 +124,7 @@ def generate_observables():
return observables.build(observable_names=observable_names,kinematics=kinematics,update=update)

def doit(self):
self.run([{"PTO": 1, "FNS": "FONLL-A", "NfFF": 4, "mc": 1.51}], self.generate_observables(), ["gonly"])
self.run([{"IC":1,"PTO": 1, "mc": 1.51}], self.generate_observables(), ["conly"])

if __name__ == "__main__":
sand = Sandbox()
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12 changes: 12 additions & 0 deletions docs/sphinx/source/refs/ic.bib
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Expand Up @@ -11,3 +11,15 @@ @article{luca-intrinsic
pages = "122",
year = "2015"
}
@article{kretzer-schienbein,
author = "Kretzer, S. and Schienbein, I.",
title = "{Heavy quark initiated contributions to deep inelastic structure functions}",
eprint = "hep-ph/9805233",
archivePrefix = "arXiv",
reportNumber = "DO-TH-98-05",
doi = "10.1103/PhysRevD.58.094035",
journal = "Phys. Rev. D",
volume = "58",
pages = "094035",
year = "1998"
}
2 changes: 1 addition & 1 deletion extras/intrinsic/ic/data.py
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Expand Up @@ -62,7 +62,7 @@

M2 = """Splus * Del * x / (Q2IC)"""

M3 = """2 * Rplus"""
M3 = """x * Rplus"""

I1 = """dlog( ( Spp + Del ) / ( Spp - Del ) ) / Del"""

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41 changes: 41 additions & 0 deletions src/yadism/coefficient_functions/intrinsic/f2_cc.py
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@@ -1 +1,42 @@
# -*- coding: utf-8 -*-

import numpy as np

from eko import constants

from yadism.esf.distribution_vec import rsl_from_distr_coeffs

from .. import partonic_channel as pc

from . import raw_cc

from . import f2_nc


class Splus(f2_nc.Splus):
def __init__(self, ESF, m1sq):
super().__init__(ESF, m1sq, 0.01)


# class Splus(pc.PartonicChannel):
# """
# The convolution point simplifies to :math:`x` when m2=0,
# see :eqref:`6` of :cite:`kretzer-schienbein`.
# """
# def __init__(self, ESF, m1sq):
# super().__init__(ESF)
# self.m1sq = m1sq
# self.y = -ESF.Q2 / m1sq
# self.lo = (1.-1./self.y)

# def LO(self):
# return 0, 0, self.lo

# def NLO(self):
# norm = self.lo * constants.CF
# lnomx = raw_cc.lnomx * norm
# omx = raw_cc.omx(self.y) * norm
# delta = raw_cc.f2sv(self.y) * norm
# def reg(z):
# return (norm * raw_cc.f2r(self.y,z) - (lnomx*np.log(1.-z) + omx)/(1.-z))
# return rsl_from_distr_coeffs(reg, delta, omx, lnomx)
7 changes: 7 additions & 0 deletions src/yadism/coefficient_functions/intrinsic/f3_cc.py
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@@ -1 +1,8 @@
# -*- coding: utf-8 -*-

from . import f3_nc


class Rplus(f3_nc.Rplus):
def __init__(self, ESF, m1sq):
super().__init__(ESF, m1sq, 0.01)
7 changes: 7 additions & 0 deletions src/yadism/coefficient_functions/intrinsic/fl_cc.py
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@@ -1 +1,8 @@
# -*- coding: utf-8 -*-

from . import fl_nc


class Splus(fl_nc.Splus):
def __init__(self, ESF, m1sq):
super().__init__(ESF, m1sq, 0.01)
16 changes: 7 additions & 9 deletions src/yadism/coefficient_functions/intrinsic/kernels.py
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Expand Up @@ -27,15 +27,13 @@ def generate(esf, ihq):
cfs = import_pc_module(kind, esf.process)
m2hq = esf.sf.m2hq[ihq - 4]
if esf.process == "CC":
# w = weights(esf.sf.coupling_constants, esf.Q2, kind, flavors[ihq - 1], ihq)
# wq = {k: v for k, v in w["q"].items() if abs(k) == ihq}
# if kind == "F3":
# return (kernels.Kernel(wq, cfs["intrinsic"]["Rp"](esf, m1sq=m2hq, m2sq=0.0)),)
# return (
# kernels.Kernel(wq, cfs["intrinsic"]["Sp"](esf, m1sq=m2hq, m2sq=0.0)),
# kernels.Kernel(wq, cfs["intrinsic"]["Sm"](esf, m1sq=m2hq, m2sq=0.0)),
# )
return ()
w = kernels.cc_weights(
esf.sf.coupling_constants, esf.Q2, kind, kernels.flavors[ihq - 1], ihq
)
wq = {k: v for k, v in w["ns"].items() if abs(k) == ihq}
if kind == "F3":
return (kernels.Kernel(wq, cfs.Rplus(esf, m1sq=m2hq)),)
return (kernels.Kernel(wq, cfs.Splus(esf, m1sq=m2hq)),)
if kind == "F3":
wVA = esf.sf.coupling_constants.get_weight(ihq, esf.Q2, "VA")
wAV = esf.sf.coupling_constants.get_weight(ihq, esf.Q2, "AV")
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167 changes: 167 additions & 0 deletions src/yadism/coefficient_functions/intrinsic/raw_cc.py
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@@ -0,0 +1,167 @@
# -*- coding: utf-8 -*-
import numpy as np
from scipy.special import spence


def li2(x):
return spence(1 - x)


lnomx = -2.0


def omx(y):
return -7.0 / 2.0 + 2.0 * np.log(1.0 - y)


def f2sv(y):
return (
1.0
/ 6.0
* (
-15.0
- 4.0 * np.pi ** 2
+ 9.0 * np.log(1.0 - y)
+ 12.0 * li2(y / (-1.0 + y))
)
)


def f1sv(y):
return f2sv(y) - 1.0 / y * np.log(1.0 - y)


def f3sv(y):
return f1sv(y)


def f1r(y, z):
P1 = 1.0 / (1.0 - z)
P2 = np.log(1.0 - z) * P1
return -(
(
P2
* (
y ** 4
+ y ** 2 * (-13 + (-8 + y) * y) * z ** 2
+ 8 * y * (3 + 5 * y) * z ** 3
- 2 * (5 + 8 * y * (4 + y)) * z ** 4
+ 8 * (3 + 5 * y) * z ** 5
+ (-13 + (-8 + y) * y) * z ** 6
+ z ** 8
)
)
/ ((y - z) * (y - z ** 2) ** 3)
) + (
P1
* (
y ** 4
- 6 * y ** 3 * (2 + y) * z
- 2 * y ** 2 * (-19 + (-13 + y) * y) * z ** 2
+ 2 * y * (-10 + y * (-34 + 7 * y)) * z ** 3
+ 2 * (10 + (34 - 7 * y) * y) * z ** 5
+ 2 * (-19 + (-13 + y) * y) * z ** 6
+ 6 * (2 + y) * z ** 7
- z ** 8
- 2
* (
y ** 4
+ y ** 2 * (-13 + (-8 + y) * y) * z ** 2
+ 8 * y * (3 + 5 * y) * z ** 3
- 2 * (5 + 8 * y * (4 + y)) * z ** 4
+ 8 * (3 + 5 * y) * z ** 5
+ (-13 + (-8 + y) * y) * z ** 6
+ z ** 8
)
* np.log(z / (-y + z))
)
) / (
2.0 * (y - z) * (y - z ** 2) ** 3
)


def f2r(y, z):
P1 = 1.0 / (1.0 - z)
P2 = np.log(1.0 - z) * P1
return -(
(
P2
* (-1 + y)
* z ** 2
* (
-(z ** 6 * (5 + (-4 + z) * z))
+ y ** 5 * (1 + z ** 2)
+ y ** 4 * (-1 + z * (8 - 21 * z + 4 * z ** 3))
+ y ** 2 * z ** 2 * (-5 - (-2 + z) * z * (34 + 7 * z * (-10 + 3 * z)))
+ y ** 3 * z * (4 + z * (-47 + z * (112 - 50 * z + z ** 3)))
+ y * z ** 4 * (-20 + z * (68 + z * (-47 + z * (8 + z))))
)
)
/ ((y - z) * (y - z ** 2) ** 5)
) - (
P1
* (-1 + y)
* z ** 2
* (
-(y ** 4 * (3 + y))
+ 2 * y ** 3 * (5 + y * (22 + y)) * z
+ 2 * y ** 3 * (-54 + y * (-41 + 3 * y)) * z ** 2
+ 6 * y ** 2 * (5 + y * (30 + y)) * z ** 3
- 6 * y * (5 + y * (30 + y)) * z ** 5
+ 2 * y * (54 + (41 - 3 * y) * y) * z ** 6
- 2 * (5 + y * (22 + y)) * z ** 7
+ (3 + y) * z ** 8
+ 2
* (
-(z ** 6 * (5 + (-4 + z) * z))
+ y ** 5 * (1 + z ** 2)
+ y ** 4 * (-1 + z * (8 - 21 * z + 4 * z ** 3))
+ y ** 2 * z ** 2 * (-5 - (-2 + z) * z * (34 + 7 * z * (-10 + 3 * z)))
+ y ** 3 * z * (4 + z * (-47 + z * (112 - 50 * z + z ** 3)))
+ y * z ** 4 * (-20 + z * (68 + z * (-47 + z * (8 + z))))
)
* np.log(z / (-y + z))
)
) / (
2.0 * (y - z) * (y - z ** 2) ** 5
)


def f3r(y, z):
P1 = -1.0 / (1.0 - z)
P2 = -np.log(1.0 - z) * P1
return (
P2
* (-1 + y)
* z
* (
y ** 3
+ y * (-3 + (-7 + y) * y) * z ** 2
+ 16 * y * z ** 3
+ (-3 + (-7 + y) * y) * z ** 4
+ z ** 6
)
) / ((y - z) * (y - z ** 2) ** 3) + (
P1
* (-1 + y)
* z
* (
(y - z ** 2)
* (
z ** 3 * (6 + z)
+ 2 * y * z * (3 + (-11 + z) * z)
+ y ** 2 * (1 + 2 * z + 4 * z ** 2)
)
+ 2
* (
y ** 3
+ y * (-3 + (-7 + y) * y) * z ** 2
+ 16 * y * z ** 3
+ (-3 + (-7 + y) * y) * z ** 4
+ z ** 6
)
* np.log(z / (-y + z))
)
) / (
2.0 * (y - z) * (y - z ** 2) ** 3
)
12 changes: 6 additions & 6 deletions src/yadism/coefficient_functions/intrinsic/raw_nc.py
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Expand Up @@ -64,22 +64,22 @@ def fl_sminus_virt(pc):
return ((np.sqrt(pc.m1sq * pc.m2sq)*((pc.C1m + pc.C1p)*pc.delta**2 + 4*pc.CRm*pc.Q2) + 2*pc.Cplus*(pc.delta**2 - pc.Q2*pc.sigma_pp))*pc.x)/(2.*pc.delta*pc.Q2)

def f3_rplus_raw(pc):
return (2*pc.s1hat*((-2*pc.delta**2*(2*pc.m2sq + pc.s1hat))/pc.s1hat**2 + pc.sigma_mp - 3*pc.sigma_pm - (2*(pc.delta**2 + 2*pc.m2sq*pc.sigma_pm))/pc.s1hat - ((pc.s1hat - pc.sigma_mp)*(pc.s1hat + pc.sigma_pp))/(2.*(pc.m2sq + pc.s1hat))))/(pc.deltap*(pc.m2sq + pc.s1hat)) - (2*pc.L_xi*(pc.s1hat*(pc.s1hat**2 - 4*pc.m1sq*pc.sigma_mp + 3*pc.s1hat*pc.sigma_pm) + 2*pc.delta**2*(2*pc.s1hat + pc.sigma_pp)))/(pc.deltap**2*pc.s1hat)
return (pc.s1hat*((-2*pc.delta**2*(2*pc.m2sq + pc.s1hat))/pc.s1hat**2 + pc.sigma_mp - 3*pc.sigma_pm - (2*(pc.delta**2 + 2*pc.m2sq*pc.sigma_pm))/pc.s1hat - ((pc.s1hat - pc.sigma_mp)*(pc.s1hat + pc.sigma_pp))/(2.*(pc.m2sq + pc.s1hat)))*pc.x)/(pc.deltap*(pc.m2sq + pc.s1hat)) - (pc.L_xi*(pc.s1hat*(pc.s1hat**2 - 4*pc.m1sq*pc.sigma_mp + 3*pc.s1hat*pc.sigma_pm) + 2*pc.delta**2*(2*pc.s1hat + pc.sigma_pp))*pc.x)/(pc.deltap**2*pc.s1hat)

def f3_rplus_soft(pc):
return -8 - (4*pc.L_xisoft*pc.sigma_pp)/pc.delta
return (-2*(2*pc.delta + pc.L_xisoft*pc.sigma_pp)*pc.x)/pc.delta

def f3_rplus_virt(pc):
return 2*pc.CRm
return pc.CRm*pc.x

def f3_rminus_raw(pc):
return (4*np.sqrt(pc.m1sq * pc.m2sq)*(pc.s1hat - pc.sigma_mp))/(pc.deltap*(pc.m2sq + pc.s1hat)) + (4*pc.L_xi*np.sqrt(pc.m1sq * pc.m2sq)*(pc.s1hat + pc.sigma_pm))/pc.deltap**2
return (2*np.sqrt(pc.m1sq * pc.m2sq)*(pc.s1hat - pc.sigma_mp)*pc.x)/(pc.deltap*(pc.m2sq + pc.s1hat)) + (2*pc.L_xi*np.sqrt(pc.m1sq * pc.m2sq)*(pc.s1hat + pc.sigma_pm)*pc.x)/pc.deltap**2

def f3_rminus_soft(pc):
return 0

def f3_rminus_virt(pc):
return 2*pc.Cplus
return pc.Cplus*pc.x

def m1_splus(pc):
return pc.sigma_pp/(2.*pc.delta)
Expand All @@ -100,7 +100,7 @@ def ml_sminus(pc):
return (2*np.sqrt(pc.m1sq * pc.m2sq)*pc.x)/pc.delta

def m3_rplus(pc):
return 2
return pc.x

def m3_rminus(pc):
return 0
Expand Down