The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_L^{W^+-W^-}(x,Q^2)$ and $F_2^{W^+-W^-}(x,Q^2)$

TL;DR

This paper computes the 3-loop heavy flavor corrections to charged current structure functions in deep-inelastic scattering, providing detailed theoretical results relevant for precision QCD analyses and sum rule evaluations.

Contribution

It presents the first calculation of massive Wilson coefficients for heavy flavor contributions to specific non-singlet structure functions at 3-loop order in the asymptotic region.

Findings

Numerical results for charm quark contributions are provided.

Implications for the Bjorken and Adler sum rules are discussed.

The work advances theoretical precision in heavy flavor corrections.

Abstract

We calculate the massive Wilson coefficients for the heavy flavor contributions to the non-singlet charged current deep-inelastic scattering structure functions $F_L^{W^+}(x,Q^2)-F_L^{W^-}(x,Q^2)$ and $F_2^{W^+}(x,Q^2)-F_2^{W^-}(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in Quantum Chromodynamics (QCD) at general values of the Mellin variable $N$ and the momentum fraction $x$. Besides the heavy quark pair production, also the single heavy flavor excitation $s \rightarrow c$ contributes. Numerical results are presented for the charm quark contributions and consequences on the unpolarized Bjorken sum rule and Adler sum rule are discussed.