Estimates of Radiation by Superluminal Neutrinos

TL;DR

This paper investigates the energy loss of superluminal neutrinos traveling from CERN to Gran Sasso due to radiation processes, analyzing how energy dispersion affects these radiative losses.

Contribution

It extends previous work by Cohen and Glashow to include quadratically dispersed superluminalities and clarifies how the magnitude of superluminality influences radiative energy loss.

Findings

Superluminal neutrinos with quadratic dispersion lose significant energy via radiation.

Energy loss depends on the size of the superluminality parameter .

Energy loss occurs even for neutrinos with varying superluminal velocities.

Abstract

We show that the more energetic superluminal neutrinos with quadratically dispersed superluminalities \delta=\beta^2-1, for \beta=v/c where v is the neutrino velocity, also lose significant energy to radiation to the \nu+e^-+e^+ final state in travelling from CERN to Gran Sasso as has been shown to occur for those with constant superluminality by Cohen and Glashow if indeed \delta \simeq 5\times 10^{-5}. In addition, we clarify the dependence of such radiative processes on the size of the superluminality.