PHOTON-NEUTRINO INTERACTION IN θ-EXACT COVARIANT MODEL: PHENOMENOLOGY AND QUANTUM PROPERTIES

Abstract

We construct the theta-exact covariant noncommutative model and obtain various closed constraints on the noncommutative scale from inelastic neutrino-nucleon scatterings, from plasmon decay into neutrino pair, from the Big Bang Nucleosynthesis and from the reheating phase after inflation, respectively. We find neutrino two-point function in a closed form and decoupling of the UV divergent term from softened UV/IR mixing term. Deformed dispersion relations at low energies are capable to account for the recent results from the OPERA collaboration on the superluminal speed of the muon neutrinos.