Complete N²f contributions to four-loop pure-singlet splitting functions

URN to cite this document:: urn:nbn:de:bvb:355-epub-749873
DOI to cite this document:: 10.5283/epub.74987

Gehrmann, Thomas ; von Manteuffel, Andreas

; Sotnikov, Vasily ; Yang, Tong-Zhi

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 18 Feb 2025 06:41

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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 ...