General neutrino interactions within coherent elastic neutrino-nucleus scattering

In this work, we investigate the effect of general neutrino interactions within the Coherent Elastic Neutrino Nucleus Scattering (CEvNS). In this process, neutrino collides with the nucleus via a neutral boson exchange as a whole. We give the standard model (SM) formulation of the process by considering the nucleus as spin-0 and spin-1/2. Coherent criteria of the interaction are also discussed by showing the form factor effect for several target nuclei. For the general interaction, we consider two models: non-standard interactions (NSI) and a simplified model. We show the differential cross-section effect of each model with the SM predictions to look for new physics behaviors. Indication of new physics from the NSI is presented in a parameter space of interaction strength of flavor conserving and flavor violation case. Recent values of interaction strength for the NSI for both considerations are used to show the difference from the SM. The simplified model consists of all the possible invariant bilinear combinations; scalar, pseudoscalar, vectorial, axial-vector, and tensorial interactions. We consider low energy scale approximation in the calculation of new physics contributions so that the momentum transfer term in the propagator is included. The constraints on free parameters of both models, namely interaction strength for NSI and coupling-mass for the simplified model, are given with 68% and 90% CL using data from the COHERENT experiment.