NNLL resummation for s-channel single top quark production

TL;DR

This paper develops NNLL resummation for s-channel single top quark production, improving theoretical predictions by including two-loop soft anomalous dimensions and providing NNLO expansions, with numerical results for Tevatron and LHC energies.

Contribution

It introduces the calculation of two-loop soft anomalous dimensions for s-channel single top production and provides NNLO expansions of the resummed cross section.

Findings

Higher-order corrections significantly affect cross sections at Tevatron and LHC energies.

Resummation reduces theoretical uncertainties in top quark production predictions.

Numerical results show improved accuracy in cross section estimates.

Abstract

I present the next-to-next-to-leading-logarithm (NNLL) resummation of soft and collinear gluon corrections to single top quark production in the s channel. Attaining NNLL accuracy involves the calculation of the two-loop soft anomalous dimension for the partonic subprocesses. Finite-order expansions of the resummed cross section are calculated through next-to-next-to-leading order (NNLO). Numerical results are presented for s-channel single top quark production at the Tevatron and the LHC, including the dependence of the cross sections on the top quark mass and the uncertainties in the theoretical prediction. The higher-order corrections are significant for energies at both colliders and they decrease the theoretical uncertainty.