On the next-to-next-to-leading order QCD corrections to heavy-quark production in deep-inelastic scattering

TL;DR

This paper advances the understanding of NNLO QCD corrections to heavy-quark production in deep-inelastic scattering by providing improved partial results and approximations across the full kinematic range.

Contribution

It offers the first improved partial NNLO results for the structure function F_2(x,Q^2) and develops approximations for coefficient functions covering all kinematic regimes.

Findings

Uncertainty in approximations is significant only at x < 10^-3.

Results are reliable near threshold, at small-x, and high Q^2.

Provides tools for more accurate predictions in heavy-quark DIS.

Abstract

The contribution of quarks with masses m >> Lambda_QCD is the only part of the structure functions in deep-inelastic scattering (DIS) which is not yet known at the next-to-next-to-leading order (NNLO) of perturbative QCD. We present improved partial NNLO results for the most important structure function F_2(x,Q^2) near the partonic threshold, in the high-energy (small-x) limit and at high scales Q^2 >> m^2; and employ these results to construct approximations for the gluon and quark coefficient functions which cover the full kinematic plane. The approximation uncertainties are carefully investigated, and found to be large only at very small values, x smaller about 10^-3, of the Bjorken variable.