The three-loop polarized pure singlet operator matrix element with two different masses

The three-loop polarized pure singlet operator matrix element with two different masses

We present the two-mass QCD contributions to the polarized pure singlet operator matrix element at three loop order in x-space. These terms are relevant for calculating the polarized structure function g1(x,Q2) at O(αs3) as well as for the matching relations in the variable flavor number scheme and...

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Main Authors: J. Ablinger, J. Blümlein, A. De Freitas, M. Saragnese, C. Schneider, K. Schönwald
Format: Article
Language:English
Published: Elsevier 2020-03-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S055032132030002X
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spelling doaj-228593c6a66f49c9a204178e097a9b7b2020-11-25T00:27:37ZengElsevierNuclear Physics B0550-32132020-03-01952The three-loop polarized pure singlet operator matrix element with two different massesJ. Ablinger0J. Blümlein1A. De Freitas2M. Saragnese3C. Schneider4K. Schönwald5Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, AustriaDeutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany; Corresponding author.Deutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyDeutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyResearch Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, AustriaDeutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany; Institut für Theoretische Teilchenphysik, Campus Süd, Karlsruher Institut für Technologie (KIT), D-76128, GermanyWe present the two-mass QCD contributions to the polarized pure singlet operator matrix element at three loop order in x-space. These terms are relevant for calculating the polarized structure function g1(x,Q2) at O(αs3) as well as for the matching relations in the variable flavor number scheme and the polarized heavy quark distribution functions at the same order. The result for the operator matrix element is given in terms of generalized iterated integrals. These integrals depend on the mass ratio through the main argument, and the alphabet includes square–root valued letters.http://www.sciencedirect.com/science/article/pii/S055032132030002X
collection DOAJ
language English
format Article
sources DOAJ
author J. Ablinger
J. Blümlein
A. De Freitas
M. Saragnese
C. Schneider
K. Schönwald
spellingShingle J. Ablinger
J. Blümlein
A. De Freitas
M. Saragnese
C. Schneider
K. Schönwald
The three-loop polarized pure singlet operator matrix element with two different masses
Nuclear Physics B
author_facet J. Ablinger
J. Blümlein
A. De Freitas
M. Saragnese
C. Schneider
K. Schönwald
author_sort J. Ablinger
title The three-loop polarized pure singlet operator matrix element with two different masses
title_short The three-loop polarized pure singlet operator matrix element with two different masses
title_full The three-loop polarized pure singlet operator matrix element with two different masses
title_fullStr The three-loop polarized pure singlet operator matrix element with two different masses
title_full_unstemmed The three-loop polarized pure singlet operator matrix element with two different masses
title_sort three-loop polarized pure singlet operator matrix element with two different masses
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2020-03-01
description We present the two-mass QCD contributions to the polarized pure singlet operator matrix element at three loop order in x-space. These terms are relevant for calculating the polarized structure function g1(x,Q2) at O(αs3) as well as for the matching relations in the variable flavor number scheme and the polarized heavy quark distribution functions at the same order. The result for the operator matrix element is given in terms of generalized iterated integrals. These integrals depend on the mass ratio through the main argument, and the alphabet includes square–root valued letters.
url http://www.sciencedirect.com/science/article/pii/S055032132030002X
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