The two-mass contribution to the three-loop gluonic operator matrix element Agg,Q(3)

The two-mass contribution to the three-loop gluonic operator matrix element Agg,Q(3)

We calculate the two-mass QCD contributions to the massive operator matrix element Agg,Q at O(αs3) in analytic form in Mellin N- and z-space, maintaining the complete dependence on the heavy quark mass ratio. These terms are important ingredients for the matching relations of the variable flavor num...

Full description

Bibliographic Details
Main Authors: J. Ablinger, J. Blümlein, A. De Freitas, A. Goedicke, C. Schneider, K. Schönwald
Format: Article
Language:English
Published: Elsevier 2018-07-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318301202
id doaj-424cf8574d3745a1b7c65fa94578394c
record_format Article
spelling doaj-424cf8574d3745a1b7c65fa94578394c2020-11-25T02:35:45ZengElsevierNuclear Physics B0550-32132018-07-01932129240The two-mass contribution to the three-loop gluonic operator matrix element Agg,Q(3)J. Ablinger0J. Blümlein1A. De Freitas2A. Goedicke3C. 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, GermanyInstitut für Theoretische Teilchenphysik Campus Süd, Karlsruher Institut für Technologie (KIT), D-76128 Karlsruhe, GermanyResearch Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, AustriaDeutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyWe calculate the two-mass QCD contributions to the massive operator matrix element Agg,Q at O(αs3) in analytic form in Mellin N- and z-space, maintaining the complete dependence on the heavy quark mass ratio. These terms are important ingredients for the matching relations of the variable flavor number scheme in the presence of two heavy quark flavors, such as charm and bottom. In Mellin N-space the result is given in the form of nested harmonic, generalized harmonic, cyclotomic and binomial sums, with arguments depending on the mass ratio. The Mellin inversion of these quantities to z-space gives rise to generalized iterated integrals with square root valued letters in the alphabet, depending on the mass ratio as well. Numerical results are presented.http://www.sciencedirect.com/science/article/pii/S0550321318301202
collection DOAJ
language English
format Article
sources DOAJ
author J. Ablinger
J. Blümlein
A. De Freitas
A. Goedicke
C. Schneider
K. Schönwald
spellingShingle J. Ablinger
J. Blümlein
A. De Freitas
A. Goedicke
C. Schneider
K. Schönwald
The two-mass contribution to the three-loop gluonic operator matrix element Agg,Q(3)
Nuclear Physics B
author_facet J. Ablinger
J. Blümlein
A. De Freitas
A. Goedicke
C. Schneider
K. Schönwald
author_sort J. Ablinger
title The two-mass contribution to the three-loop gluonic operator matrix element Agg,Q(3)
title_short The two-mass contribution to the three-loop gluonic operator matrix element Agg,Q(3)
title_full The two-mass contribution to the three-loop gluonic operator matrix element Agg,Q(3)
title_fullStr The two-mass contribution to the three-loop gluonic operator matrix element Agg,Q(3)
title_full_unstemmed The two-mass contribution to the three-loop gluonic operator matrix element Agg,Q(3)
title_sort two-mass contribution to the three-loop gluonic operator matrix element agg,q(3)
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2018-07-01
description We calculate the two-mass QCD contributions to the massive operator matrix element Agg,Q at O(αs3) in analytic form in Mellin N- and z-space, maintaining the complete dependence on the heavy quark mass ratio. These terms are important ingredients for the matching relations of the variable flavor number scheme in the presence of two heavy quark flavors, such as charm and bottom. In Mellin N-space the result is given in the form of nested harmonic, generalized harmonic, cyclotomic and binomial sums, with arguments depending on the mass ratio. The Mellin inversion of these quantities to z-space gives rise to generalized iterated integrals with square root valued letters in the alphabet, depending on the mass ratio as well. Numerical results are presented.
url http://www.sciencedirect.com/science/article/pii/S0550321318301202
work_keys_str_mv AT jablinger thetwomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
AT jblumlein thetwomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
AT adefreitas thetwomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
AT agoedicke thetwomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
AT cschneider thetwomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
AT kschonwald thetwomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
AT jablinger twomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
AT jblumlein twomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
AT adefreitas twomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
AT agoedicke twomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
AT cschneider twomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
AT kschonwald twomasscontributiontothethreeloopgluonicoperatormatrixelementaggq3
_version_ 1724803576571625472

Similar Items