CC DIS at alpha_s^3 in Mellin-N and Bjorken-x spaces

TL;DR

This paper presents third-order calculations for charged-current deep-inelastic scattering structure functions, including new Mellin moments and their implications for crossing-even and -odd coefficient functions, with a focus on theoretical consistency and corrections.

Contribution

It provides new third-order results for Mellin moments of structure functions and explores their implications in Bjorken-x space, including corrections to the Paschos-Wolfenstein relation.

Findings

New Mellin moments for structure functions are calculated.

Differences between crossing-even and -odd coefficient functions are approximated and analyzed.

The 1/N_c suppression of certain differences is demonstrated.

Abstract

Third-order results for the structure functions of charged-current deep-inelastic scattering are discussed. New results for 11'th Mellin moment for F_2,L^(nu P - nubar P) structure functions and 12'th moment for F_3^(nu P - nubar P) are presented as well as corresponding higher Mellin moments of differences between the respective crossing-even and -odd coefficient functions. Approximations in Bjorken-x space for these differences obtained with lowest five moments as well as consistency of new results with these approximations are discussed. The 1/N_c suppression of the differences is shown and the correction to the Paschos-Wolfenstein relation is discussed.