Festina-Lente Bound on Higgs Vacuum Structure and Inflation

TL;DR

This paper explores how the Festina-Lente bound constrains Higgs potential and particle masses in the universe's dark energy and inflationary phases, impacting Higgs stability and inflationary dynamics.

Contribution

It applies the Festina-Lente bound to Higgs physics, analyzing constraints on Higgs potential and vacuum during inflation and current dark energy conditions.

Findings

Higgs cannot remain at the electroweak scale during inflation.

The FL bound restricts the Hubble parameter during inflation.

Constraints on Higgs vacuum expectation value in different cosmological epochs.

Abstract

The recently suggested Festina-Lente (FL) bound provides a lower bound on the masses of ${\rm U(1)}$ charged particles in terms of the positive vacuum energy. Since the charged particle masses in the Standard Model (SM) are generated by the Higgs mechanism, the FL bound provides a testbed of consistent Higgs potentials in the current dark energy-dominated universe as well as during inflation. We study the implications of the FL bound on the UV behavior of the Higgs potential for a miniscule vacuum energy, as in the current universe. We also present values of the Hubble parameter and the Higgs vacuum expectation value allowed by the FL bound during inflation, which implies that the Higgs cannot stay at the electroweak scale during this epoch.