Probing Baryogenesis through the Higgs Self-Coupling

TL;DR

This paper investigates how modifications to the Higgs potential, including higher polynomial and non-polynomial forms, influence the Higgs self-coupling and the possibility of baryogenesis via a strong first-order phase transition, using the functional renormalization group.

Contribution

It extends the analysis of Higgs self-coupling modifications beyond polynomial expansions to include non-polynomial potentials, providing a broader theoretical framework.

Findings

Strong first-order phase transition enhances Higgs self-coupling by at least 50%

Modified Higgs potentials are testable at the LHC

Functional renormalization group enables evolution of the full Higgs potential

Abstract

The link between a modified Higgs self-coupling and the strong first-order phase transition necessary for baryogenesis is well explored for polynomial extensions of the Higgs potential. We broaden this argument beyond leading polynomial expansions of the Higgs potential to higher polynomial terms and to non-polynomial Higgs potentials. For our quantitative analysis we resort to the functional renormalization group, which allows us to evolve the full Higgs potential to higher scales and finite temperature. In all cases we find that a strong first-order phase transition manifests itself in an enhancement of the Higgs self-coupling by at least 50%, implying that such modified Higgs potentials should be accessible at the LHC.