On γ5 in higher-order QCD calculations and the NNLO evolution of the polarized valence distribution

We discuss the prescription for the Dirac matrix γ5 in dimensional regularization used in most second- and third-order QCD calculations of collider cross sections. We provide an alternative implementation of this approach that avoids the use of an explicit form of γ5 and of its (anti-)commutation re...

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Main Authors: S. Moch, J.A.M. Vermaseren, A. Vogt
Format: Article
Language:English
Published: Elsevier 2015-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315005377
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spelling doaj-8b7e79546e224a9ea5ec1c0ff25f7f302020-11-24T22:58:03ZengElsevierPhysics Letters B0370-26931873-24452015-09-01748C43243810.1016/j.physletb.2015.07.027On γ5 in higher-order QCD calculations and the NNLO evolution of the polarized valence distributionS. Moch0J.A.M. Vermaseren1A. Vogt2II. Institute for Theoretical Physics, Hamburg University, D-22761 Hamburg, GermanyNikhef Theory Group, Science Park 105, 1098 XG Amsterdam, The NetherlandsDepartment of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, United KingdomWe discuss the prescription for the Dirac matrix γ5 in dimensional regularization used in most second- and third-order QCD calculations of collider cross sections. We provide an alternative implementation of this approach that avoids the use of an explicit form of γ5 and of its (anti-)commutation relations in the most important case of no more than one γ5 in each fermion trace. This treatment is checked by computing the third-order corrections to the structure functions F2 and g1 in charged-current deep-inelastic scattering with axial-vector couplings to the W-bosons. We derive the so far unknown third-order helicity-difference splitting function ΔPns(2)s that contributes to the next-to-next-to-leading order (NNLO) evolution of the polarized valence quark distribution of the nucleon. This function is negligible at momentum fractions x≳0.3 but relevant at x≪1.http://www.sciencedirect.com/science/article/pii/S0370269315005377
collection DOAJ
language English
format Article
sources DOAJ
author S. Moch
J.A.M. Vermaseren
A. Vogt
spellingShingle S. Moch
J.A.M. Vermaseren
A. Vogt
On γ5 in higher-order QCD calculations and the NNLO evolution of the polarized valence distribution
Physics Letters B
author_facet S. Moch
J.A.M. Vermaseren
A. Vogt
author_sort S. Moch
title On γ5 in higher-order QCD calculations and the NNLO evolution of the polarized valence distribution
title_short On γ5 in higher-order QCD calculations and the NNLO evolution of the polarized valence distribution
title_full On γ5 in higher-order QCD calculations and the NNLO evolution of the polarized valence distribution
title_fullStr On γ5 in higher-order QCD calculations and the NNLO evolution of the polarized valence distribution
title_full_unstemmed On γ5 in higher-order QCD calculations and the NNLO evolution of the polarized valence distribution
title_sort on γ5 in higher-order qcd calculations and the nnlo evolution of the polarized valence distribution
publisher Elsevier
series Physics Letters B
issn 0370-2693
1873-2445
publishDate 2015-09-01
description We discuss the prescription for the Dirac matrix γ5 in dimensional regularization used in most second- and third-order QCD calculations of collider cross sections. We provide an alternative implementation of this approach that avoids the use of an explicit form of γ5 and of its (anti-)commutation relations in the most important case of no more than one γ5 in each fermion trace. This treatment is checked by computing the third-order corrections to the structure functions F2 and g1 in charged-current deep-inelastic scattering with axial-vector couplings to the W-bosons. We derive the so far unknown third-order helicity-difference splitting function ΔPns(2)s that contributes to the next-to-next-to-leading order (NNLO) evolution of the polarized valence quark distribution of the nucleon. This function is negligible at momentum fractions x≳0.3 but relevant at x≪1.
url http://www.sciencedirect.com/science/article/pii/S0370269315005377
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