Particle production with L-R neutrino oscillation

TL;DR

This paper investigates how gauge boson production during Higgs field oscillations can lead to left-right neutrino oscillations, affecting non-thermal leptogenesis and potentially applying to other singlet particles.

Contribution

It introduces a novel mechanism where L-R neutrino oscillations influence particle production and leptogenesis after Higgs inflation, highlighting their significance.

Findings

L-R neutrino oscillations can be significant near the Higgs oscillation edge.

The mechanism enables non-thermal leptogenesis post-Higgs inflation.

Potential applicability to other singlet particles.

Abstract

When the Higgs field starts oscillation after Higgs inflation, gauge bosons are produced non-perturbatively near the Enhanced Symmetry Point (ESP). Just after the particle production, when the Higgs field is going away from the ESP, these gauge bosons gain mass and decay or annihilate into Standard Model (SM) fermions. Left-handed neutrinos can be generated in that way. If one assumes the see-saw mechanism, the mass matrix of a pair of left and right-handed neutrinos is non-diagonal. Although their mixing in the mass eigenstates is negligible in the true vacuum, it could be significant near the edge of the Higgs oscillation, where the off-diagonal component is large. Therefore, the left-handed neutrinos generated from the gauge bosons can start neutrino oscillation between the right-handed neutrinos. We study the particle production when such L-R neutrino oscillation is significant. For a working example, the non-thermal leptogenesis scenario after Higgs inflation is examined, which cannot be realized without the L-R neutrino oscillation. The same mechanism could be applied to other singlet particles whose abundance has been neglected.