Published August 2014 | Version v1
Journal article

The O(αs3TF2) contributions to the gluonic operator matrix element

  • 1. Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz (Austria)
  • 2. Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen (Germany)
  • 3. PRISMA Cluster of Excellence, Institute of Physics, J. Gutenberg University, D-55099 Mainz (Germany)

Description

The O(αs3TF2CF(CA)) contributions to the transition matrix element Agg,Q relevant for the variable flavor number scheme at 3-loop order are calculated. The corresponding graphs contain two massive fermion lines of equal mass leading to terms given by inverse binomially weighted sums beyond the usual harmonic sums. In x-space two root-valued letters contribute in the iterated integrals in addition to those forming the harmonic polylogarithms. We outline technical details needed in the calculation of graphs of this type, which are as well of importance in the case of two different internal massive lines

Availability note (English)

Available from http://dx.doi.org/10.1016/j.nuclphysb.2014.05.028

Additional details

Identifiers

DOI
10.1016/j.nuclphysb.2014.05.028;
arXiv
arXiv:1405.4259v1;
PII
S0550-3213(14)00170-9;

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
885
Journal Page Range
p. 280-317
ISSN
0550-3213
CODEN
NUPBBO

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
46120522
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
FERMIONS; FLAVOR MODEL; GLUONS; INTEGRALS; MATHEMATICAL OPERATORS; MATRIX ELEMENTS
Descriptors DEC
BOSONS; COMPOSITE MODELS; MATHEMATICAL MODELS; PARTICLE MODELS; QUARK MODEL

Optional Information

Copyright
Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.