Non-standard neutrino interactions as a solution to the NO$\nu$A and T2K discrepancy

Abstract

The latest data of the two long-baseline accelerator experiments NO$\nu$A and T2K, interpreted in the standard 3-flavor scenario, display a discrepancy. A mismatch in the determination of the standard CP-phase ${\delta }_{\mathrm{CP}}$ extracted by the two experiments is evident in the normal neutrino mass ordering. While NO$\nu$A prefers values close to ${\delta }_{\mathrm{CP}}\sim 0.8\pi$, T2K identifies values of ${\delta }_{\mathrm{CP}}\sim 1.4\pi$. Such two estimates are in disagreement at more than 90$\%$ C.L. for 2 degrees of freedom. We show that such a tension can be resolved if one hypothesizes the existence of complex neutral-current non-standard interactions (NSI) of the flavor changing type involving the $e-\mu$ or the $e-\tau$ sectors with couplings $|{\epsilon }_{e\mu }|\sim |{\epsilon }_{e\tau }|\sim 0.2$. Remarkably, in the presence of such NSI, both experiments point towards the same common value of the standard CP-phase ${\delta }_{\mathrm{CP}}\sim 3\pi /2$. Our analysis also highlights an intriguing preference for maximal CP-violation in the non-standard sector with the NSI CP-phases having best fit close to ${\varphi }_{e\mu }\sim {\varphi }_{e\tau }\sim 3\pi /2$, hence pointing towards imaginary NSI couplings.

9 pages, 6 figures, 1 table. Accepted for publication in PRL. One additional figure (S1) is presented in the Supplemental Material in addition to the PRL version

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