Dark energy from Neutrinos and Standard Model Higgs potential

TL;DR

This paper proposes a model where neutrino masses depending on the Higgs potential can produce a dark energy effect, aligning the cosmological density with observations by linking neutrino physics to the Higgs field.

Contribution

It introduces a novel mechanism where neutrino mass variation with the Higgs field generates dark energy-like behavior, connecting neutrino physics with cosmological acceleration.

Findings

Neutrino mass as a steep function of the Higgs field can mimic dark energy.

The model reproduces the observed cosmological density with a GUT-scale heavy mass.

The thermodynamic potential shift depends on neutrino pressure and Higgs field dynamics.

Abstract

If neutrino mass is a function of the Higgs potential then minimum of the total thermodynamic potential $\Omega$ (which is the Higgs potential minus the neutrino pressure) can shift from the standard electro-weak vev $v=246.2$ GeV by a small amount which depends on the neutrino pressure. If the neutrino mass is a very steep function of the Higgs field then the equilibrium thermodynamic potential can act like the dark energy with $\omega \simeq -1$. Choosing the neutrino mass as logarithmic function of the Higgs field and a heavy mass scale, we find that the correct magnitude of the cosmological density of the present universe $\rho_\lambda \simeq (0.002 eV)^4$ is obtained by choosing the heavy mass at the GUT scale.