Uncertainties in Constraints from Pair Production on Superluminal Neutrinos

TL;DR

This paper examines how different theoretical assumptions affect the constraints on superluminal neutrinos derived from pair production processes, highlighting significant uncertainties in the results.

Contribution

It analyzes the impact of various dynamical models and dispersion relations on the predicted pair production decay width for superluminal neutrinos.

Findings

Numerical factors in decay width calculations vary by an order of magnitude.

Uncertainties in dynamical assumptions lead to significant variations in constraints.

The choice of matrix elements and dispersion relations critically affects the results.

Abstract

The use of the vacuum lepton pair production process ($\nu \to \nu e^- e^+ $), a viable reaction for superluminal neutrinos, to put constraints on Lorentz violations requires a dynamical framework. Different choices of dynamical matrix elements and modified dispersion relations for neutrinos, leading to numerical factors differing by one order of magnitude in the results for the pair production decay width, are used to show the uncertainties on these constraints.