The full set of polarized deep inelastic scattering structure functions at NNLO accuracy

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 𝒪(α _S^2) knowledge on DIS structure functions. We obtain the missing 𝒪(α _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.