r"""The polarized, space-like |OME|."""
import numba as nb
import numpy as np
from ....harmonics import cache as c
from . import as1, as2
[docs]
@nb.njit(cache=True)
def A_singlet(matching_order, n, nf, L):
r"""Compute the tower of the singlet |OME|.
Parameters
----------
matching_order : tuple(int,int)
perturbative matching order
n : complex
Mellin variable
nf: int
number of active flavor below threshold
L : float
:math:``\ln(\mu_F^2 / m_h^2)``
Returns
-------
numpy.ndarray
singlet |OME|
"""
A_s = np.zeros((matching_order[0], 3, 3), np.complex_)
if matching_order[0] >= 1:
A_s[0] = as1.A_singlet(n, L)
cache = c.reset()
if matching_order[0] == 2:
A_s[1] = as2.A_singlet(n, cache, L, nf)
if matching_order[0] > 2:
raise NotImplementedError(
"Polarized, space-like beyond NNLO is not implemented yet."
)
return A_s
[docs]
@nb.njit(cache=True)
def A_non_singlet(matching_order, n, L):
r"""Compute the tower of the non-singlet |OME|.
Parameters
----------
matching_order : tuple(int,int)
perturbative matching order
n : complex
Mellin variable
L : float
:math:``\ln(\mu_F^2 / m_h^2)``
Returns
-------
numpy.ndarray
non-singlet |OME|
"""
A_ns = np.zeros((matching_order[0], 2, 2), np.complex_)
cache = c.reset()
if matching_order[0] == 2:
A_ns[1] = as2.A_ns(n, cache, L)
if matching_order[0] > 2:
raise NotImplementedError(
"Polarized, space-like beyond NNLO is not implemented yet."
)
return A_ns