Seesaw, coherence and neutrino oscillations

TL;DR

This paper develops a method to construct coherent flavor neutrino states within the seesaw mechanism, revealing that the vacuum is a condensate of massless neutrinos and analyzing the implications for neutrino oscillations.

Contribution

It introduces a consistent prescription for non-Fock coherent neutrino states in the seesaw framework, linking vacuum structure to neutrino oscillation phenomena.

Findings

Neutrino vacuum is a condensate of massless states.

Constructed creation operators for finite massive states.

Discussed non-unitarity in oscillation probabilities.

Abstract

We present a prescription for consistently constructing non-Fock coherent flavour neutrino states within the framework of the seesaw mechanism, and establish that the physical vacuum of massive neutrinos is a condensate of Standard Model massless neutrino states. The coherent states, involving a finite number of massive states, are derived by constructing their creation operator. Such a construction is the key requirement so that the oscillations of particles indeed occur. We comment on the inherent non-unitarity of the oscillation probability induced by the requirement of coherence.