English

The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering

High Energy Physics - Phenomenology 2019-10-23 v1 High Energy Physics - Experiment

Abstract

We calculate the polarized massive two--loop pure singlet Wilson coefficient contributing to the structure functions g1(x,Q2)g_1(x,Q^2) analytically in the whole kinematic region. The Wilson coefficient contains Kummer--elliptic integrals. We derive the representation in the asymptotic region Q2m2Q^2 \gg m^2, retaining power corrections, and in the threshold region. The massless Wilson coefficient is recalculated. The corresponding twist--2 corrections to the structure function g2(x,Q2)g_2(x,Q^2) are obtained by the Wandzura--Wilczek relation. Numerical results are presented.

Keywords

Cite

@article{arxiv.1904.08911,
  title  = {The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering},
  author = {J. Blümlein and C. G. Raab and K. Schönwald},
  journal= {arXiv preprint arXiv:1904.08911},
  year   = {2019}
}

Comments

22 pages Latex, 8 Figures

R2 v1 2026-06-23T08:44:09.225Z