Photon-neutrino interaction in theta-exact covariant noncommutative model: Phenomenology and Quantum properties*

TL;DR

This paper develops a covariant noncommutative model for photon-neutrino interactions, deriving constraints on the noncommutative scale and analyzing quantum properties like neutrino dispersion, with implications for superluminal propagation.

Contribution

It introduces a theta-exact covariant noncommutative model and provides a detailed analysis of neutrino quantum properties and phenomenology, including constraints and dispersion relations.

Findings

Constraints on noncommutative scale from neutrino processes

Neutrino two-point function with UV/IR mixing decoupling

Modified neutrino dispersion relations allowing superluminal speeds

Abstract

We construct the theta-exact covariant noncommutative (NC) model and obtain various closed constraints on the NC scale (Lambda_NC) from inelastic neutrino-nucleon scatterings (nu N -> nu+X), from plasmon decay into neutrino pair (gamma_pl -> bar nu + nu), from the BBN nucleosynthesis and from the reheating phase after inflation, respectively. We have have found neutrino two-point function in a closed form. It shows decoupling of the UV divergent term from softened UV/IR mixing term and from the finite terms as well. We show that problematic UV divergent and UV/IR mixing terms vanish for a certain choice of the noncommutative parameter theta which preserves unitarity. We find non-perturbative modifications of the neutrino dispersion relations which are assymptotically independent of the scale of noncommutativity in both the low and high energy limits and may allow superluminal propagation.