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

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.