Journal Article

PUBDB-2022-00970

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Blümlein, J. (Corresponding author)DESY* ; Marquard, P.DESY* ; Schneider, C. ; Schönwald, K.DESY*

2022
SISSA [Trieste]

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Please use a persistent id in citations: doi:10.1007/JHEP01(2022)193  doi:10.3204/PUBDB-2022-00970

Report No.: DESY-21-192; DO-TH 21/31; DO-TH-21/31; RISC Report Series 21-19; TTP-21-052; arXiv:2111.12401

Abstract: Future high luminosity polarized deep--inelastic scattering experiments will improve both the knowledge of the spin sub--structure of the nucleons and contribute further to the precision determination of the strong coupling constant, as well as, reveal currently yet unknown higher twist contributions in the polarized sector. For all these tasks to be performed, it is necessary to know the QCD leading twist scaling violations of the measured structure functions. Here an important ingredient consists in the polarized singlet anomalous dimensions and splitting functions in QCD. We recalculate these quantities to three--loop order in the M--scheme by using the traditional method of space--like off--shell massless operator matrix elements, being a gauge--dependent framework. Here one obtains the anomalous dimensions without referring to gravitational currents, needed when calculating them using the forward Compton amplitude. We also calculate the non--singlet splitting function $\Delta P_{\rm qq}^{(2), \rm s, NS}$ and compare the final results to the literature, also including predictions for the region of small values of Bjorken $x$.

Keyword(s): structure function: spin ; deep inelastic scattering ; luminosity: high ; scaling: violation ; strong interaction: coupling constant ; anomalous dimension ; polarization ; quantum chromodynamics ; splitting function ; singlet ; small-x ; nucleon: structure function ; twist ; off-shell ; higher-twist ; loop integral ; higher-order ; Perturbative QCD ; Renormalization Group

Note: 28 pages Latex, 1 figure

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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 2022

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Database coverage:
; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; Nationallizenz ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Blümlein, J.DESY* ; Marquard, P.DESY* ; Schneider, C.Extern* ; Schönwald, K.DESY*
The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements
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