Properties of effective massive Yang-Mills theory in the limit of vanishing vector boson mass

TL;DR

This paper investigates the behavior of massive Yang-Mills theories as the vector boson mass approaches zero, showing that key physical quantities remain finite, with detailed two-loop calculations supporting this.

Contribution

It provides the first detailed two-loop analysis of pole masses and magnetic moments in massive Yang-Mills theories in the massless limit.

Findings

Two-loop corrections to vector boson pole mass are finite as mass approaches zero.

Fermion magnetic moments remain finite in the massless limit.

Implications for the consistency of massive gauge theories are discussed.

Abstract

Two-loop corrections to the pole mass of the vector boson and the pole masses and the magnetic moments of fermions are calculated in the framework of an effective field theory of massive Yang-Mills fields interacting with fermions. It is shown that the limit of vanishing vector boson mass is finite for all these quantities. Implications of the obtained results are discussed.