Quantum correction to tiny vacuum expectation value in two Higgs doublet model for Dirac neutrino mass

TL;DR

This paper investigates the stability of the tiny vacuum expectation value in a two Higgs doublet model for Dirac neutrino masses, analyzing one-loop radiative corrections and their dependence on model parameters.

Contribution

It provides a detailed calculation of one-loop corrections to the Higgs vacuum expectation value in a two Higgs doublet model for neutrino masses, assessing stability under radiative effects.

Findings

One-loop corrections can significantly affect the vacuum expectation value.

The correction magnitude depends on Higgs mass spectrum and potential parameters.

The model's small vacuum expectation value remains stable under certain parameter conditions.

Abstract

We study a Dirac neutrino mass model of Davidson and Logan. In the model, the smallness of the neutrino mass is originated from the small vacuum expectation value of the second Higgs of two Higgs doublets. We study the one loop effective potential of the Higgs sector and examine how the small vacuum expectation is stable under the radiative correction. By deriving formulae of the radiative correction, we numerically study how large the one loop correction is and show how it depends on the quadratic mass terms and quartic couplings of the Higgs potential. The correction changes depending on the various scenarios for extra Higgs mass spectrum.