High energy cosmic rays experiments inspired by noncommutative quantum field theory

TL;DR

This paper investigates noncommutative quantum field theory inspired by high energy cosmic rays, analyzing neutrino interactions and decay processes to explore potential modifications in neutrino behavior and implications for cosmology.

Contribution

It provides a covariant theta-exact noncommutative gauge field theory framework with explicit neutrino two-point functions and discusses conditions under which UV divergences vanish, revealing novel neutrino dispersion effects.

Findings

Neutrino two-point function with UV/IR mixing decoupled

UV divergent and UV/IR mixing terms vanish for specific theta

Neutrino dispersion relations may allow superluminal propagation

Abstract

Phenomenological analysis of the covariant theta-exact noncommutative (NC) gauge field theory (GFT), inspired by high energy cosmic rays experiments, is performed in the framework of the inelastic neutrino-nucleon scatterings, plasmon and $Z$-boson decays into neutrino pair, the Big Bang Nucleosynthesis (BBN) and the Reheating Phase After Inflation (RPAI), respectively. Next we have have found neutrino two-point function and shows a closed form decoupling of the hard ultraviolet (UV) divergent term from softened ultraviolet/infrared (UV/IR) mixing term and from the finite terms as well. For a certain choice of the noncommutative parameter theta which preserves unitarity, problematic UV divergent and UV/IR mixing terms vanish. Non-perturbative modifications of the neutrino dispersion relations are assymptotically independent of the scale of noncommutativity in both the low and high energy limits and may allow superluminal propagation.