  We derive new constraints on effective four-fermion neutrino non-standard
interactions with both quarks and electrons. This is done through the global
analysis of neutrino oscillation data and measurements of coherent elastic
neutrino-nucleus scattering (CEvNS) obtained with different nuclei. In doing
so, we include not only the effects of new physics on neutrino propagation but
also on the detection cross section in neutrino experiments which are sensitive
to the new physics. We consider both vector and axial-vector neutral-current
neutrino interactions and, for each case, we include simultaneously all allowed
effective operators in flavour space. To this end, we use the most general
parametrization for their Wilson coefficients under the assumption that their
neutrino flavour structure is independent of the charged fermion participating
in the interaction. The status of the LMA-D solution is assessed for the first
time in the case of new interactions taking place simultaneously with up
quarks, down quarks, and electrons. One of the main results of our work are the
presently allowed regions for the effective combinations of non-standard
neutrino couplings, relevant for long-baseline and atmospheric neutrino
oscillation experiments.
