Journal Article

PUBDB-2025-00621

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Next-to-next-to-leading order evolution of polarized parton densities in the Larin scheme

Blümlein, J. (Corresponding author)Extern*DESY* ; Saragnese, M. (Corresponding author)Extern*DESY*

2024
American Physical Society Ridge, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevD.110.034006  doi:10.3204/PUBDB-2025-00621

Report No.: DESY 24--066; arXiv:2405.17252

Abstract: In many calculations involving polarized twist-2 parton densities to higher order in the strong coupling constant one uses the Larin scheme to describe chiral effects in dimensional regularization. Upon forming observables, the scheme dependence cancels. Still one needs a corresponding regularization scheme to compute the contributing building blocks, like massless and massive Wilson coefficients, as well as the massive three-loop operator matrix elements used in the variable flavor number scheme. These are matched to the evolved parton distribution functions in the Larin scheme. Starting with suitable input distributions we provide the solution of scale evolution of the different polarized parton distribution functions in Bjorken x space for a wide range of virtualities Q2 in the Larin scheme, at next-to-leading, at next-to-next-to-leading order for the first time. We also illustrate the deviation between the parton distributions in the Larin and MS¯ schemes numerically.

Keyword(s): parton: distribution function ; parton: density ; higher-order: 2 ; regularization: dimensional ; strong interaction: coupling constant ; Bjorken ; flavor ; chiral ; buildings ; strong coupling

Note: 13 pages Latex, 9 Figures, ancillary files

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Contributing Institute(s):

1. Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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