English

The two-mass contribution to the three-loop pure singlet operator matrix element

High Energy Physics - Phenomenology 2018-02-01 v1 High Energy Physics - Theory

Abstract

We present the two-mass QCD contributions to the pure singlet operator matrix element at three loop order in x-space. These terms are relevant for calculating the structure function F2(x,Q2)F_2(x,Q^2) at O(αs3)O(\alpha_s^3) as well as for the matching relations in the variable flavor number scheme and the heavy quark distribution functions at the same order. The result for the operator matrix element is given in terms of generalized iterated integrals that include square root letters in the alphabet, depending also on the mass ratio through the main argument. Numerical results are presented.

Keywords

Cite

@article{arxiv.1711.06717,
  title  = {The two-mass contribution to the three-loop pure singlet operator matrix element},
  author = {J. Ablinger and J. Blümlein and A. De Freitas and C. Schneider and K. Schönwald},
  journal= {arXiv preprint arXiv:1711.06717},
  year   = {2018}
}

Comments

28 papges Latex, 3 figures

R2 v1 2026-06-22T22:49:51.547Z