Model dependence of the bremsstrahlung effects from the superluminal neutrino at OPERA

TL;DR

This paper examines how Lorentz violation affects bremsstrahlung processes of superluminal neutrinos, revealing model-dependent variations in decay and energy loss rates, which are similar in form to previous models but depend on specific Lorentz-violating parameters.

Contribution

It provides a detailed analysis of the bremsstrahlung effects considering Lorentz violation, highlighting the model dependence of decay and energy loss rates for superluminal neutrinos.

Findings

Decay and energy loss rates depend on Lorentz violation details.

Results are parametrically similar to Cohen and Glashow's but with model-specific variations.

Modified neutral current interactions influence bremsstrahlung processes.

Abstract

We revisit the bremsstrahlung process of a superluminal neutrino motivated by OPERA results. From a careful analysis of the plane wave solutions of the superluminal neutrino, we find that the squared matrix elements contain additional terms from Lorentz violation due to the modified spin sum for the neutrino. We point out that the coefficients of the decay rate and the energy loss rate significantly depend on the details of the model, although the results are parametrically similar to the ones obtained by Cohen and Glashow [1]. We illustrate this from the modified neutral current interaction of neutrino with Lorentz violation of the same order as in the modified dispersion relation.