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The three-loop polarized pure singlet operator matrix element with two different masses

High Energy Physics - Phenomenology 2020-01-15 v1 High Energy Physics - Theory

Abstract

We present the two-mass QCD contributions to the polarized pure singlet operator matrix element at three loop order in xx-space. These terms are relevant for calculating the polarized structure function g1(x,Q2)g_1(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 polarized heavy quark distribution functions at the same order. The result for the operator matrix element is given in terms of generalized iterated integrals. These integrals depend on the mass ratio through the main argument, and the alphabet includes square--root valued letters.

Keywords

Cite

@article{arxiv.1911.11630,
  title  = {The three-loop polarized pure singlet operator matrix element with two different masses},
  author = {J. Ablinger and J. Blümlein and A. De Freitas and M. Saragnese and C. Schneider and K. Schönwald},
  journal= {arXiv preprint arXiv:1911.11630},
  year   = {2020}
}

Comments

21 pages LATEX, 3 Figures. arXiv admin note: substantial text overlap with arXiv:1711.06717

R2 v1 2026-06-23T12:27:51.252Z