The role of the top mass in b-production at future lepton colliders

TL;DR

This paper analyzes how the top quark mass influences bottom quark pair production at future lepton colliders, revealing a unique logarithmic correction absent in lighter quark production.

Contribution

It introduces a novel calculation of top mass effects on b-production, highlighting a specific Sudakov-type logarithmic term in the asymptotic energy regime.

Findings

Top mass induces a linear logarithmic correction in b-production.

The correction is absent in lighter quark pair production.

Implications for precision measurements at future colliders.

Abstract

We compute the one loop contribution coming from vertex and box diagrams, where virtual top quarks are exchanged, to the asymptotic energy behaviour of $b\bar b$ pair production at future lepton colliders. We find that the effect of the top mass is an extra linear logarithmic term of Sudakov type that is not present in the case of (u,d,s,c) production. This appears to be particularly relevant in the case of the $b\bar{b}$ cross section.