Scheme Independence of $g_1^p (x, Q^2)$

TL;DR

This paper investigates how different factorization schemes affect the polarized structure function $g_1^p (x, Q^2)$, highlighting the advantages of the $ar{MS}$ scheme especially in the heavy quark sector.

Contribution

It introduces a scheme independence analysis for $g_1^p (x, Q^2)$ and compares the implications of different factorization schemes, emphasizing the $ar{MS}$ scheme's suitability.

Findings

Light quark sector remains scheme-independent.

Heavy quark sector favors the $ar{MS}$ scheme.

Scheme choice impacts heavy quark calculations.

Abstract

We work with two general factorization schemes in order to explore the consequences of imposing scheme independence on $g_1^p (x, Q^2)$. We see that although the light quark sector is indifferent to the choice of a particular scheme, the extension of the calculations to the heavy quark sector indicates that a scheme like the $\bar{MS}$ is preferable.