SANCnews: top decays in QCD and EW sectors

TL;DR

This paper details the implementation of top quark decay into bottom quark and massless fermions within the SANC system, combining QCD and electroweak corrections at one-loop level, with a focus on numerical results and divergence handling.

Contribution

It introduces a new procedure for combining QCD and EW corrections in top decays, including the formation of JAW,WA functions for divergence extraction.

Findings

Numerical results for various correction approaches

Comparison of complete one-loop and pole approximation methods

Implementation of divergence extraction techniques

Abstract

In this paper we present the results of the implementation of the decay t -> b f1 f1 into the SANC system (f1 is a massless fermion). The new aspect of the work is the combination of QCD and EW corrections. All calculations are done at the one-loop level in the Standard Model. We give a detailed account of the new procedure - the forming of a class of JAW,WA functions. These functions are related to the procedure of extraction of infra-red and mass-shell singular divergences. The emphasis of this paper is on the presentation of numerical results for various approaches: complete one-loop calculations and different versions of pole approximations.