About the mass corrections in an abelian Higgs model

TL;DR

This paper investigates mass corrections in an abelian Higgs model, revealing that quantum corrections do not alter the scalar boson's physical mass, which remains equal to its bare mass.

Contribution

It demonstrates that, despite quantum corrections to the two-point function, the scalar mass remains unchanged in the abelian Higgs model due to global properties of the partition function.

Findings

Scalar boson mass remains unaltered by quantum corrections

Two-point function receives quantum corrections but does not affect physical mass

Partition function analysis explains mass stability

Abstract

We study the corrections to the scalar boson mass in an abelian Higgs model by considering the global properties of the partition function. We find that although the two point function for the Higgs boson receives quantum corrections, the mass of the scalar remains unaltered and thus the physical mass is equal to the bare one.