Constraints on Non-Commutative Physics Scale with Neutrino-Electron Scattering

TL;DR

This paper uses neutrino-electron scattering data to set new constraints on non-commutative space-time theories, improving the lower bound on the non-commutative scale beyond collider experiment limits.

Contribution

It derives the contribution of non-commutative physics to neutrino-electron scattering and establishes the most stringent experimental bounds on the non-commutative scale to date.

Findings

Constraints on $\\Lambda_{NC}$ > 3.3 TeV at 95% CL

Improves over collider bounds on non-commutative scale

Uses reactor and accelerator neutrino data

Abstract

Neutrino-electron scatterings ($\nu - e$) are purely leptonic processes with robust Standard Model (SM) predictions. Their measurements can therefore provide constraints to physics beyond SM. Non-commutative (NC) field theories modify space-time commutation relations, and allow neutrino electromagnetic couplings at the tree level. Their contribution to neutrino-electron scattering cross-section was derived. Constraints were placed on the NC scale parameter $\Lambda_{NC}$ from $\nu - e$ experiments with reactor and accelerator neutrinos. The most stringent limit of $\Lambda_{NC} > 3.3 TeV$ at 95% confidence level improves over the direct bounds from collider experiments.