from ...partonic_channel import RSL
from . import convolutions as conv
from . import non_singlet as ns
from . import singlet as s
[docs]
def pgq0(_nf):
"""
|LO| gluon-quark splitting function :math:`P_{gq}^{(0)}`.
|ref| implements :eqref:`4.6`, :cite:`split-singlet`.
Parameters
----------
z : float
partonic momentum fraction
Returns
-------
float
|LO| gluon-quark splitting function :math:`P_{gq}^{(0)}(z)`
"""
return RSL(s.pgq0_reg)
[docs]
def pgg0(nf):
"""
|LO| gluon-gluon splitting function :math:`P_{gg}^{(0)}`.
|ref| implements :eqref:`4.6`, :cite:`split-singlet`.
Parameters
----------
z : float
partonic momentum fraction
nf : int
the number of light flavors
Returns
-------
float
|LO| gluon-gluon splitting function :math:`P_{gg}^{(0)}(z)`
"""
return RSL(s.pgg0_reg, s.pgg0_sing, s.pgg0_local, [nf])
[docs]
def pqq1(nf):
"""
|NLO| quark-quark splitting function :math:`P_{qq}^{(1)}`.
Parameters
----------
z : float
partonic momentum fraction
nf : int
the number of light flavors
Returns
-------
float
|NLO| quark-quark splitting function :math:`P_{qq}^{(1)}(z)`
"""
return RSL(s.pqq1_reg, ns.pns_sing, ns.pns_loc, [nf])
[docs]
def pqg1(nf):
"""
|NLO| quark-gluon splitting function :math:`P_{qg}^{(1)}`.
|ref| implements :eqref:`4.8`, :cite:`split-singlet`.
Parameters
----------
z : float
partonic momentum fraction
nf : int
the number of light flavors
Returns
-------
float
|NLO| quark-gluon splitting function :math:`P_{qg}^{(1)}(z)`
"""
return RSL(s.pqg1_reg, args=[nf])
[docs]
def pnsp1(nf):
return RSL(ns.pnsp_reg, ns.pns_sing, ns.pns_loc, [nf])
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def pnsm1(nf):
return RSL(ns.pnsm_reg, ns.pns_sing, ns.pns_loc, [nf])
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def pqq0_2(_nf):
return RSL(conv.pqq0_2_reg, conv.pqq0_2_sing, conv.pqq0_2_loc)
[docs]
def pqg0pgq0(nf):
return RSL(conv.pqg0pgq0_reg, args=[nf])
[docs]
def pqq0pqg0(nf):
return RSL(conv.pqq0pqg0_reg, args=[nf])
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def pqg0pgg0(nf):
return RSL(conv.pqg0pgg0_reg, args=[nf])
raw_labels = {
"P_gq_0": pgq0,
"P_gg_0": pgg0,
"P_qq_1": pqq1,
"P_qg_1": pqg1,
"P_nsp_1": pnsp1,
"P_nsm_1": pnsm1,
"P_qq_0^2": pqq0_2,
"P_qg_0P_gq_0": pqg0pgq0,
"P_qq_0P_qg_0": pqq0pqg0,
"P_qg_0P_gg_0": pqg0pgg0,
}