Neutrino processes with power law dispersion relations

TL;DR

This paper investigates how Lorentz invariance violation affects neutrino processes by analyzing energy-momentum relations with power law corrections, finding that time of flight measurements impose stronger bounds than decay constraints for certain models.

Contribution

It introduces a general framework for neutrino energy relations with power law corrections and compares bounds from different experimental constraints.

Findings

Time of flight bounds are more stringent than decay bounds for n>2.

Neutrino processes are significantly affected by Lorentz invariance violation.

Power law corrections modify neutrino dispersion relations in a measurable way.

Abstract

We compute various processes involving neutrinos in the initial and/or final state and we assume that neutrinos have energy momentum relation with a general power law $E^2 =p^2+ \xi_n p^n$ correction due to Lorentz invariance violation. We find that for $n>2$ the bounds on $\xi_n$ from direct time of flight measurement are much more stringent than from constraining the neutrino Cerenkov decay process.