The full set of Polarized Deep Inelastic Scattering Structure Functions at NNLO accuracy

TL;DR

This paper computes the second-order QCD corrections to polarized deep inelastic scattering structure functions, completing the theoretical understanding necessary for future experimental analyses at the Electron-Ion Collider.

Contribution

It provides the full set of NNLO coefficient functions for polarized structure functions $g_L$ and $g_4$, filling a key gap in QCD calculations for DIS.

Findings

Complete NNLO coefficient functions for $g_L$ and $g_4$

Phenomenological analysis relevant for Electron-Ion Collider

Enhanced theoretical precision for polarized DIS studies

Abstract

We present the second order contributions to the coefficient functions for the parity violating polarized structure functions $g_L$ and $g_4$, thus completing the $\mathcal{O}(\alpha_S^2)$ knowledge on DIS structure functions. We obtain the missing $\mathcal{O}(\alpha_S^2)$ pieces from the known parity conserving unpolarized coefficient functions. We also present a phenomenological analysis for the phase space region the future Electron-Ion Collider is set to explore.