Neutrino Mass Anarchy and the Universe

TL;DR

This paper explores how neutrino mass anarchy influences cosmological phenomena like neutrino total mass and baryon asymmetry, proposing a Gaussian measure and a flavor symmetry to explain successful leptogenesis and correlations with neutrino properties.

Contribution

It introduces a measure based on basis independence and a flavor symmetry to analyze neutrino mass anarchy's cosmological implications, including leptogenesis and mass correlations.

Findings

Gaussian measure uniquely determined by basis independence

Flavor symmetry enhances leptogenesis success

Correlations between baryon asymmetry and neutrino masses identified

Abstract

We study the consequence of the neutrino mass anarchy on cosmology, in particular the total mass of neutrinos and baryon asymmetry through leptogenesis. We require independence of measure in each mass matrix elements in addition to the basis independence, which uniquely picks the Gaussian measure. A simple approximate U(1) flavor symmetry makes leptogenesis highly successful. Correlations between the baryon asymmetry and the light-neutrino quantities are investigated. We also discuss possible implications of recently suggested large total mass of neutrinos by the SDSS/BOSS data.