One-loop functional RG flow of scalar theory with electroweak symmetry

TL;DR

This paper investigates the one-loop renormalization group flow of a scalar theory with nonlinearly realized electroweak symmetry, analyzing stability and symmetry-breaking perturbations across different geometric target spaces.

Contribution

It introduces a functional RG approach to study scalar theories with electroweak symmetry, focusing on stability and symmetry violations at second order in derivatives.

Findings

Identified eigenperturbations violating O(4) symmetry.

Analyzed stability of O(4) symmetry on different geometries.

Provided spectrum of eigenvalues for symmetry-breaking modes.

Abstract

Using functional renormalization methods, we study the one-loop renormalization group evolution of theories with four scalars, at second order in the derivative expansion, in which electroweak symmetry is nonlinearly realized. In this framework we study the stability of O(4) symmetry and find the O(4)-violating eigenperturbations and their corresponding eigenspectrum around three different geometries of the target space, namely those of the flat space, cylinder and sphere.