Quark Mass Corrections to the Bjorken and Gross--Llewellyn-Smith Sum Rules

1996/02/21 by O. V. Teryaev, O. L. Veretin, Teryaev, O. V. +2
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9602362

8 pages, 1 Postscript figure, uses epsf.sty

openalex publication_date 1996/02/21 · arxiv created 1996/02/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Quark mass corrections to the spin partonic structure function g₁(x,Q²) and function F₃(x,Q²) are obtained at the order O(alpha_s) along with the coefficient functions C^(A) and C^(V) related to the Bjorken and Gross--Llewellyn-Smith sum rules. In the massless limit the difference between F₃ and g₁ is encountered to be (alpha_s/π)*CF*(1-x). The results for the functions C^(A) and C^(V) at m=0 agree with the previous MS-scheme calculations C^(A)=C^(V)=1-(3*alpha_s/4π)*CF.

Related

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