Electroweak radiative corrections to deep-inelastic neutrino scattering - implications for NuTeV ?
K. -P. O. Diener, S. Dittmaier, W. Hollik
TL;DR
The paper recalculates electroweak radiative corrections to deep-inelastic neutrino scattering at O(alpha) and assesses their impact on NuTeV's sin^2 theta_W extraction. It presents full one-loop corrected cross sections, including hard photon radiation, and analyzes different input-parameter schemes, real-photon treatment, and factorization schemes, contrasting with earlier Bardin 1986 results. Special attention is given to initial-state collinear photon radiation and fermion-mass singularities. The findings show that shifts in neutral- to charged-current cross-section ratios can be larger than NuTeV's experimental uncertainties, underscoring the need to revise the NuTeV analysis and providing a Fortran code for updates.
Abstract
We calculate the O(alpha) electroweak corrections to charged- and neutral-current deep-inelastic neutrino scattering off an isoscalar target. The full one-loop-corrected cross sections, including hard photonic corrections, are evaluated and compared to an earlier result which was used in the NuTeV analysis. In particular, we compare results that differ in input-parameter scheme, treatment of real photon radiation and factorization scheme. The associated shifts in the theoretical prediction for the ratio of neutral- and charged-current cross sections can be larger than the experimental accuracy of the NuTeV result.