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 commu
tation 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.
Studies on electron antineutrino-electron elastic scattering were performed using a 200-kg CsI(Tl) scintillating crystal detector array at the Kuo-Sheng Nuclear Power Plant in Taiwan. The measured cross section of R(exp) = [1.00 +- 0.32(stat)]xR(SM)
is consistent with the Standard Model expectation and the corresponding weak mixing angle derived is sin2T = 0.24 +- 0.05 (stat). The results are consistent with a destructive interference effect between neutral and charged-currents in this process. Limits on neutrino magnetic moment of mu(nu_(e)) < 2.0 x 10^(-10) mu_(B) at 90% confidence level and on electron antineutrino charge radius of r^(2) < (0.12 +- 2.07)x10^(-32) cm^2 were also derived.
