Calculation of two-loop QCD corrections for hadronic single top-quark production in the t channel

TL;DR

This paper calculates two-loop QCD corrections for single top-quark production in the t channel, providing detailed amplitude decompositions, analytic expressions, and a publicly available code for box contributions.

Contribution

It presents the first complete two-loop amplitude calculations for t-channel single top-quark production in QCD, including analytic formulas and a software implementation.

Findings

Complete two-loop amplitude results for the process.

Analytic expressions for vertex corrections.

Public C program for box contributions.

Abstract

In this article we discuss the calculation of single top-quark production in the t channel at two-loop order in QCD. In particular we present the decomposition of the amplitude according to its spin and colour structure and present complete results for the two-loop amplitudes in terms of master integrals. For the vertex corrections compact analytic expressions are given. The box contributions are implemented in a publicly available C program.