English

The O(\alpha_s^3 T_F^2) Contributions to the Gluonic Operator Matrix Element

High Energy Physics - Phenomenology 2014-06-04 v1 High Energy Physics - Theory

Abstract

The O(αs3TF2CF(CA))O(\alpha_s^3 T_F^2 C_F (C_A)) contributions to the transition matrix element Agg,QA_{gg,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 xx-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.

Keywords

Cite

@article{arxiv.1405.4259,
  title  = {The O(\alpha_s^3 T_F^2) Contributions to the Gluonic Operator Matrix Element},
  author = {J. Ablinger and J. Blümlein and A. De Freitas and A. Hasselhuhn and A. von Manteuffel and M. Round and C. Schneider},
  journal= {arXiv preprint arXiv:1405.4259},
  year   = {2014}
}

Comments

39 papges LATEX, 8 Figures