Radiative corrections to the structure functions and sum rules in polarized DIS

TL;DR

This paper calculates one-loop NLO radiative corrections to polarized deep inelastic scattering, highlighting the impact of finite quark mass effects on sum rules and providing explicit formulas for structure functions.

Contribution

It introduces the calculation of NLO radiative corrections considering quark mass effects, which differ from classical massless QCD approaches.

Findings

Corrections are identical to classical QCD for unpolarized sum rules.

Differences appear in polarized sum rules due to quark mass effects.

Explicit expression for the NLO correction to structure function g_2 is provided.

Abstract

The one-loop NLO radiative corrections to the observables in polarized DIS using assumption that a quark is an essential massive particle are considered. If compared with classical QCD formulae the obtained results are identical for the unpolarized and different for polarized sum rules, that can be explained as the influence of the finite quark mass effects on NLO QCD corrections. The explicit expression for one-loop NLO QCD contribution to the structure function g_2 is presented.