The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x,Q^2) at Large Momentum Transfer

TL;DR

This paper computes the three-loop non-singlet heavy flavor contributions to the polarized structure function g_1(x,Q^2) in QCD for large momentum transfer, providing theoretical insights and numerical results relevant for understanding heavy quark effects.

Contribution

It presents the first calculation of the 3-loop non-singlet heavy flavor Wilson coefficient for g_1(x,Q^2) in the asymptotic region, extending previous lower-order results.

Findings

Numerical results for charm quark contributions to g_1(x,Q^2).

Heavy flavor corrections to the Bjorken sum-rule derived.

Results on g_2(x,Q^2) in the twist-2 approximation provided.

Abstract

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the polarized structure function $g_1(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable $N$ and the momentum fraction $x$, and derive heavy flavor corrections to the Bjorken sum-rule. Numerical results are presented for the charm quark contribution. Results on the structure function $g_2(x,Q^2)$ in the twist-2 approximation are also given.