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Paper IPM / P / 17042  


Abstract:  
We introduce a model for NonStandard neutral current Interaction (NSI) between neutrinos and the matter fields, with an arbitrary coupling to the up and down quarks. The model is based on a new $U(1)$ gauge symmetry with a light gauge boson that mixes with the photon. We show that the couplings to the $u$ and $d$ quarks can have a ratio such that the contribution from NSI to the Coherent Elastic NeutrinoNucleus Scattering (CE$\nu$NS) amplitude vanishes, relaxing the bound on the NSI from the CE$\nu$NS experiments.
Additionally, the deviation of the measured value of the anomalous magnetic dipole moment of the muon from the standardmodel prediction can be fitted.
We discuss the relevant experimental and observational bounds on the parameter space and show that there are ranges that can lead to both a solution to the $(g2)_\mu$ anomaly and values of $\epsilon_{\mu \mu} = \epsilon_{\tau \tau}$ large enough to be probed by future solar neutrino experiments.
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