From Dirac to Majorana: the Cosmic Neutrino Background capture rate in the minimally extended Standard Model

TL;DR

This paper explores how the cosmic neutrino background capture rate on tritium varies with neutrino nature, mass scale, and mixing, potentially revealing the mechanism behind neutrino mass generation.

Contribution

It introduces a model with three right-handed neutrinos and analyzes the transition of neutrino states from Majorana to Dirac, linking capture rates to neutrino mass mechanisms.

Findings

Capture rate varies with neutrino nature and mass scale.

Relativistic lightest active neutrino affects capture rate.

Potential to constrain tiny active-sterile neutrino mass differences.

Abstract

We investigate the capture rate of the cosmic neutrino background on tritium within the Standard Model, extended to incorporate three right-handed singlet neutrinos with explicit lepton-number violation. We consider a scenario where the $6 \times 6$ neutrino mixing matrix factorizes into three independent $2 \times 2$ pairs and analyze the states produced from weak interactions just before neutrino decoupling. Taking into account the unrestricted Majorana mass scale associated with lepton number violation, spanning from the Grand Unification scale to Planck-suppressed values, we observe a gradual transition in the capture rate from a purely Majorana neutrino to a purely (pseudo) Dirac neutrino. We demonstrate that the capture rate is modified if the lightest active neutrino is relativistic, and this can be used to constrain the tiniest value of mass-squared difference $\sim 10^{-35}\,{\rm eV}^2$, between the active-sterile pair, probed so far. Consequently, the cosmic neutrino capture rate could become a promising probe for discerning the underlying mechanism responsible for generating neutrino masses.