Neutrino-electron scattering in noncommutative space

TL;DR

This paper investigates neutrino-electron scattering within noncommutative space-time, deriving a differential cross section that reveals potential for setting stringent bounds on the noncommutative scale through low-energy experiments.

Contribution

It introduces a novel calculation of neutrino-electron scattering in noncommutative QED, highlighting the impact of NC terms similar to magnetic moment effects.

Findings

The differential cross section includes a term proportional to 1/T, enhancing low-energy sensitivity.

Potential to improve bounds on the noncommutative scale using low-energy neutrino experiments.

Abstract

Neutral particles can couple with the $U(1)$ gauge field in the adjoint representation at the tree level if the space-time coordinates are noncommutative (NC). Considering neutrino-photon coupling in the NC QED framework, we obtain the differential cross section of neutrino-electron scattering. Similar to the magnetic moment effect, one of the NC terms is proportional to $\frac 1 T$, where $T$ is the electron recoil energy. Therefore, this scattering provides a chance to achieve a stringent bound on the NC scale in low energy by improving the sensitivity to the smaller electron recoil energy.