Two-loop electroweak next-to-leading logarithms for processes involving heavy quarks

TL;DR

This paper calculates two-loop electroweak corrections for high-energy fermion scattering processes involving heavy quarks, extending previous massless fermion results to include bottom and top quarks with full Standard Model effects.

Contribution

It provides the first derivation of two-loop electroweak logarithmic corrections for processes involving heavy quarks at TeV energies, including symmetry breaking and Yukawa effects.

Findings

Derived explicit two-loop electroweak corrections for heavy quark processes.

Extended previous massless fermion results to include bottom and top quarks.

Included all relevant singularities and effects in the Standard Model.

Abstract

We derive logarithmically enhanced two-loop virtual electroweak corrections for arbitrary fermion-scattering processes at the TeV scale. This extends results previously obtained for massless fermion scattering to processes that involve also bottom and top quarks. The contributions resulting from soft, collinear, and ultraviolet singularities in the complete electroweak Standard Model are explicitly extracted from two-loop diagrams to next-to-leading-logarithmic accuracy including all effects associated with symmetry breaking and Yukawa interactions.