Comments on branon dressing and the Standard Model

TL;DR

This paper analyzes how electrodynamics and a Yukawa model are affected by brane fluctuations, revealing first-order corrections to masses and couplings, with field redefinitions simplifying the effective actions.

Contribution

It provides a detailed calculation of first-order corrections in brane tension and compares results with existing literature, highlighting discrepancies at higher orders.

Findings

First-order corrections affect masses and couplings.

Field redefinitions simplify the effective actions.

Discrepancies with literature appear at next order.

Abstract

This technical note shows how Electrodynamics and a Yukawa model are dressed after integrating out perturbative brane fluctuations, and it is found that first order corrections in the inverse of the brane tension occur for the fermion and scalar wave functions, the couplings and the masses. Nevertheless, field redefinitions actually lead to effective actions where only masses are dressed to this first order. We compare our results with the literature and find discrepancies at the next order, which, however, might not be measurable in the valid regime of low-energy brane fluctuations.