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

Neutrino-electron scatterings ($ u - 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 $ u - 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.