The three-loop single mass polarized pure singlet operator matrix element

The three-loop single mass polarized pure singlet operator matrix element

We calculate the massive polarized three-loop pure singlet operator matrix element AQq(3),PS in the single mass case in the Larin scheme. This operator matrix element contributes to the massive polarized three-loop Wilson coefficient HQq(3),PS in deep-inelastic scattering and constitutes a three-loo...

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Main Authors: J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider, K. Schönwald
Format: Article
Language:English
Published: Elsevier 2020-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320300316
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spelling doaj-cd765b7c5db24e7d9b71b9244d3cb7652020-11-25T02:36:06ZengElsevierNuclear Physics B0550-32132020-04-01953The three-loop single mass polarized pure singlet operator matrix elementJ. Ablinger0A. Behring1J. Blümlein2A. De Freitas3A. von Manteuffel4C. Schneider5K. Schönwald6Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A–4040, Linz, AustriaInstitut für Theoretische Teilchenphysik, Karlsruher Institut für Technologie (KIT), D-76128 Karlsruhe, GermanyDeutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyDeutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyDepartment of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USAResearch Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A–4040, Linz, AustriaInstitut für Theoretische Teilchenphysik, Karlsruher Institut für Technologie (KIT), D-76128 Karlsruhe, Germany; Deutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyWe calculate the massive polarized three-loop pure singlet operator matrix element AQq(3),PS in the single mass case in the Larin scheme. This operator matrix element contributes to the massive polarized three-loop Wilson coefficient HQq(3),PS in deep-inelastic scattering and constitutes a three-loop transition matrix element in the variable flavor number scheme. We provide analytic results in Mellin N and in x space and study the behaviour of this operator matrix element in the region of small and large values of the Bjorken variable x.http://www.sciencedirect.com/science/article/pii/S0550321320300316
collection DOAJ
language English
format Article
sources DOAJ
author J. Ablinger
A. Behring
J. Blümlein
A. De Freitas
A. von Manteuffel
C. Schneider
K. Schönwald
spellingShingle J. Ablinger
A. Behring
J. Blümlein
A. De Freitas
A. von Manteuffel
C. Schneider
K. Schönwald
The three-loop single mass polarized pure singlet operator matrix element
Nuclear Physics B
author_facet J. Ablinger
A. Behring
J. Blümlein
A. De Freitas
A. von Manteuffel
C. Schneider
K. Schönwald
author_sort J. Ablinger
title The three-loop single mass polarized pure singlet operator matrix element
title_short The three-loop single mass polarized pure singlet operator matrix element
title_full The three-loop single mass polarized pure singlet operator matrix element
title_fullStr The three-loop single mass polarized pure singlet operator matrix element
title_full_unstemmed The three-loop single mass polarized pure singlet operator matrix element
title_sort three-loop single mass polarized pure singlet operator matrix element
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2020-04-01
description We calculate the massive polarized three-loop pure singlet operator matrix element AQq(3),PS in the single mass case in the Larin scheme. This operator matrix element contributes to the massive polarized three-loop Wilson coefficient HQq(3),PS in deep-inelastic scattering and constitutes a three-loop transition matrix element in the variable flavor number scheme. We provide analytic results in Mellin N and in x space and study the behaviour of this operator matrix element in the region of small and large values of the Bjorken variable x.
url http://www.sciencedirect.com/science/article/pii/S0550321320300316
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