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Since neutrino oscillation was observed, several experiments have been builtto measure its parameters. NO$\nu$A and T2K are two long-baseline experimentsdedicated to measuring mainly the mixing angle $\theta_{23}$, the charge-parityconjugation phase $\delta_{\rm CP}$, and the mass ordering. However, there is atension in current data. The T2K allowed region is almost excluded by theNO$\nu$A result at the $90\%$ confidence level. We propose a non-standardinteraction (NSI) in neutrino production to relieve this tension. The NSI iscomputed through quantum field theory (QFT) formalism, where we deriveperturbative analytical formulae considering NSI in the pion decay. Within thisnew approach, we can alleviate NO$\nu$A and T2K tension for a NSI complexparameters of order $10^{-3}$. We show the new phase has a degeneracy to theDirac CP phase of the form $\delta_{\rm CP} \pm \phi= 1.5\pi$ being a possiblesource of violation of charge-parity symmetry.

Alleviating the present tension between T2K and NO$\nu$A with neutrino New Physics at source