English

The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering

High Energy Physics - Phenomenology 2021-09-08 v1 High Energy Physics - Theory

Abstract

We compute the logarithmic contributions to the polarized massive Wilson coefficients for deep-inelastic scattering in the asymptotic region Q2m2Q^2 \gg m^2 to 3-loop order in the fixed-flavor number scheme and present the corresponding expressions for the polarized massive operator matrix elements needed in the variable flavor number scheme. The calculation is performed in the Larin scheme. For the massive operator matrix elements Aqq,Q(3),PSA_{qq,Q}^{(3),\rm PS} and Aqg,Q(3),SA_{qg,Q}^{(3),\rm S} the complete results are presented. The expressions are given in Mellin-NN space and in momentum fraction zz-space.

Keywords

Cite

@article{arxiv.2105.09572,
  title  = {The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering},
  author = {J. Blümlein and A. De Freitas and M. Saragnese and C. Schneider and K. Schönwald},
  journal= {arXiv preprint arXiv:2105.09572},
  year   = {2021}
}

Comments

86 pages Latex

R2 v1 2026-06-24T02:17:29.075Z