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

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 ν p−ν p 2,L structure functions and 12'th moment for F ν p−ν p 3 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.