Heavy quark form factors at three loops in the planar limit

Heavy quark form factors at three loops in the planar limit

We compute the color-planar and complete light quark non-singlet contributions to the heavy quark form factors in the case of the axialvector, scalar and pseudoscalar currents at three loops in perturbative QCD. We evaluate the master integrals applying a new method based on differential equations f...

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Main Authors: J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider
Format: Article
Language:English
Published: Elsevier 2018-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318304416
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spelling doaj-6269a84c245b43d791f33666a163d86a2020-11-25T00:18:34ZengElsevierPhysics Letters B0370-26932018-07-01782528532Heavy quark form factors at three loops in the planar limitJ. Ablinger0J. Blümlein1P. Marquard2N. Rana3C. Schneider4Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, AustriaDeutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyDeutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany; Corresponding author.Deutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyResearch Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, AustriaWe compute the color-planar and complete light quark non-singlet contributions to the heavy quark form factors in the case of the axialvector, scalar and pseudoscalar currents at three loops in perturbative QCD. We evaluate the master integrals applying a new method based on differential equations for general bases, which is applicable for all first order factorizing systems. The analytic results are expressed in terms of harmonic polylogarithms and real-valued cyclotomic harmonic polylogarithms.http://www.sciencedirect.com/science/article/pii/S0370269318304416
collection DOAJ
language English
format Article
sources DOAJ
author J. Ablinger
J. Blümlein
P. Marquard
N. Rana
C. Schneider
spellingShingle J. Ablinger
J. Blümlein
P. Marquard
N. Rana
C. Schneider
Heavy quark form factors at three loops in the planar limit
Physics Letters B
author_facet J. Ablinger
J. Blümlein
P. Marquard
N. Rana
C. Schneider
author_sort J. Ablinger
title Heavy quark form factors at three loops in the planar limit
title_short Heavy quark form factors at three loops in the planar limit
title_full Heavy quark form factors at three loops in the planar limit
title_fullStr Heavy quark form factors at three loops in the planar limit
title_full_unstemmed Heavy quark form factors at three loops in the planar limit
title_sort heavy quark form factors at three loops in the planar limit
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2018-07-01
description We compute the color-planar and complete light quark non-singlet contributions to the heavy quark form factors in the case of the axialvector, scalar and pseudoscalar currents at three loops in perturbative QCD. We evaluate the master integrals applying a new method based on differential equations for general bases, which is applicable for all first order factorizing systems. The analytic results are expressed in terms of harmonic polylogarithms and real-valued cyclotomic harmonic polylogarithms.
url http://www.sciencedirect.com/science/article/pii/S0370269318304416
work_keys_str_mv AT jablinger heavyquarkformfactorsatthreeloopsintheplanarlimit
AT jblumlein heavyquarkformfactorsatthreeloopsintheplanarlimit
AT pmarquard heavyquarkformfactorsatthreeloopsintheplanarlimit
AT nrana heavyquarkformfactorsatthreeloopsintheplanarlimit
AT cschneider heavyquarkformfactorsatthreeloopsintheplanarlimit
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