Electroweak gauge bosons self--energies: complete QCD corrections

TL;DR

The QCD corrections to the longitudinal and transverse components of the electroweak gauge bosons self–energies for arbitrary momentum transfer and for different internal quark masses are presented.

Abstract

We present the (two--loop) QCD corrections to the longitudinal and transverse components of the electroweak gauge bosons self--energies for arbitrary momentum transfer and for different internal quark masses. Compact formulae for both the real and imaginary parts are given in the general case as well as in some physically interesting special cases. The dependence on the definition of the quark masses is discussed.