A Renormalisation Group Equation Study of the Scalar Sector of the Minimal B-L Extension of the Standard Model

TL;DR

This paper derives one-loop renormalisation group equations for the minimal B-L extension of the Standard Model, analyzing vacuum stability and triviality bounds with an extended scalar sector including a new Higgs singlet.

Contribution

It provides the complete set of one-loop RGEs for the anomaly-free minimal B-L model and studies its scalar sector's stability and triviality bounds.

Findings

Derived RGEs for the B-L model's scalar sector.

Analyzed vacuum stability bounds.

Assessed triviality limits on the scalar couplings.

Abstract

We present the complete set of Renormalisation Group Equations (RGEs) at one loop for the non-exotic minimal U(1) extension of the Standard Model (SM). It includes all models that are anomaly-free with the SM fermion content augmented by one Right-Handed (RH) neutrino per generation. We then pursue the numerical study of the pure B-L model, deriving the triviality and vacuum stability bounds on an enlarged scalar sector comprising one additional Higgs singlet field with respect to the SM.