The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\)

DOI10.1016/J.NUCLPHYSB.2017.06.004zbMATH Open1373.81370arXiv1705.01508OpenAlexW2611174896MaRDI QIDQ2412767

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Publication date: 27 October 2017

Published in: (Search for Journal in Brave)

Abstract: We calculate the unpolarized twist-2 three-loop splitting functions

P_{q g}^{(2)} (x)

and

P_{g g}^{(2, m N_{F})} (x)

and the associated anomalous dimensions using massive three-loop operator matrix elements. While we calculate

P_{g g}^{(2, m N_{F})} (x)

directly,

P_{q g}^{(2)} (x)

is computed from 1200 even moments, without any structural prejudice, using a hierarchy of recurrences obtained for the corresponding operator matrix element. The largest recurrence to be solved is of order 12 and degree 191. We confirm results in the foregoing literature.

Full work available at URL: https://arxiv.org/abs/1705.01508

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