Complete contributions to four-loop pure-singlet splitting functions
T Gehrmann, A von Manteuffel, V Sotnikov…�- Journal of High Energy�…, 2024 - Springer
Journal of High Energy Physics, 2024•Springer
A bstract The scale evolution of parton distributions is determined by universal splitting
functions. As a milestone towards the computation of these functions to four-loop order in
QCD, we compute all contributions to the pure-singlet quark-quark splitting functions that
involve two closed fermion loops. The splitting functions are extracted from the pole terms of
off-shell operator matrix elements, and the workflow for their calculation is outlined. We
reproduce known results for the non-singlet four-loop splitting functions and validate our�…
functions. As a milestone towards the computation of these functions to four-loop order in
QCD, we compute all contributions to the pure-singlet quark-quark splitting functions that
involve two closed fermion loops. The splitting functions are extracted from the pole terms of
off-shell operator matrix elements, and the workflow for their calculation is outlined. We
reproduce known results for the non-singlet four-loop splitting functions and validate our�…
Abstract
The scale evolution of parton distributions is determined by universal splitting functions. As a milestone towards the computation of these functions to four-loop order in QCD, we compute all contributions to the pure-singlet quark-quark splitting functions that involve two closed fermion loops. The splitting functions are extracted from the pole terms of off-shell operator matrix elements, and the workflow for their calculation is outlined. We reproduce known results for the non-singlet four-loop splitting functions and validate our new pure-singlet results against fixed Mellin moments.
Springer