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Electroweak higher-order effects and theoretical uncertainties in deep-inelastic neutrino scattering

K. -P. O. Diener·S. Dittmaier·W. Hollik
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Abstract

A previous calculation of electroweak O(alpha) corrections to deep-inelastic neutrino scattering, as e.g. measured by NuTeV and NOMAD, is supplemented by higher-order effects. In detail, we take into account universal two-loop effects from Δαand Δρas well as higher-order final-state photon radiation off muons in the structure function approach. Moreover, we make use of the recently released O(alpha)-improved parton distributions MRST2004QED and identify the relevant QED factorization scheme, which is DIS like. As a technical byproduct, we describe slicing and subtraction techniques for an efficient calculation of a new type of real corrections that are induced by the generated photon distribution. A numerical discussion of the higher-order effects suggests that the remaining theoretical uncertainty from unknown electroweak corrections is dominated by non-universal two-loop effects and is of the order 0.0003 when translated into a shift in sin^2θ_W=1-MW^2/MZ^2. The O(alpha) corrections implicitly included in the parton distributions lead to a shift of about 0.0004.

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K. -P. O. Diener, S. Dittmaier, W. Hollik. 2005-09-09. Electroweak higher-order effects and theoretical uncertainties in deep-inelastic neutrino scattering. https://doi.org/10.1103/physrevd.72.093002

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