Massive charged-current coefficient functions in deep-inelastic scattering at NNLO and impact on strange-quark distributions

Abstract

We present details on calculation of next-to-next-to-leading order QCD corrections to massive charged-current coefficient functions in deep-inelastic scattering. Especially we focus on the application to charm-quark production in neutrino scattering on fixed target that can be measured via the dimuon final state. We construct a fast interface to the calculation so for any parton distributions the cross sections can be evaluated within milliseconds by using the pre-generated interpolation grids. We discuss agreements of various theoretical predictions with the NuTeV and CCFR dimuon data and the impact of the results on determination of the strange-quark distributions.

Neutrino telescopes as QCD microscopes

“…In the case of CC interactions, NNLO corrections to the massive coefficient functions have recently been computed [63] (see also Ref. [64]). However, the results of this calculation have not been made publicly available yet in a format suitable for the present calculation.…”

nNNPDF2.0: quark flavor separation in nuclei from LHC data

“…[68], and subsequently used to study their impact in the determination of the strange content of the nucleon in ref. [69]. Further details about the implementation of heavy quark mass corrections in the NNPDF framework for charged-current scattering can be found in ref.…”

The strangest proton?

“…(2.2) are evaluated with APFEL [32]. We benchmarked our results against those obtained from an independent computation based on [33]. After the correction of a bug in APFEL, which affected the computation of the large-x DIS coefficient functions at next-to-leading (NLO) order, the relative difference between the two is found to be of the order of permille, apart from the lowest E ν bins, in which it reaches the percent level, as displayed in the left panel of Fig.…”