Probing The Neutrino Sector via A Statistical Approach

TL;DR

This paper uses a statistical landscape approach inspired by string theory to analyze the probability distributions of physical parameters, especially in the neutrino sector, providing insights into unmeasurable quantities relevant for cosmology.

Contribution

It applies a landscape-based statistical method to the neutrino sector, highlighting the non-divergent distribution of heavy neutrino masses and favoring degenerate scenarios.

Findings

Heavy neutrino mass distribution does not diverge at zero.

Degenerate heavy neutrino scenarios are favored.

Provides insights into unmeasurable cosmological parameters.

Abstract

We apply the idea of landscape (motivated by string theory) to study the statistical nature of parameters/couplings in the standard model of strong and electroweak interactions. Following the success of this approach on the fermion masses, we discuss the divergent behavior of the probability distributions of other physical parameters/couplings to obtain some insights on the quantities that cannot be measured by current experiments but can be relevant in cosmology, in particular those in the neutrino sector. From a relatively strongly mixed PMNS matrix, we argue that the probability distribution of heavy neutrino mass $P(M)$ does not diverge at $M=0$. This analysis favors the degenerate heavy neutrino scenarios.