Probing new physics scenarios in accelerator and reactor neutrino experiments

We perform a detailed combined fit to the ${\overline{\nu }}_e\to {\overline{\nu }}_e$ disappearence data of the Daya Bay experiment and the appearance ${\nu }_{\mu }\to {\nu }_e$ and disappearance ${\nu }_{\mu }\to {\nu }_{\mu }$ data of the Tokai to Kamioka (T2K) one in the presence of two models of new physics affecting neutrino oscillations, namely a model where sterile neutrinos can propagate in a large compactified extra dimension and a model where non-standard interactions (NSI) affect the neutrino production and detection. We find that the Daya Bay ⨁ T2K data combination constrains the largest radius of the compactified extra dimensions to be $R\lesssim 0.17$ μm at 2σ C.L. (for the inverted ordering of the neutrino mass spectrum) and the relevant NSI parameters in the range $O\left({10}^{-3}\right)-O\left({10}^{-2}\right)$, for particular choices of the charge parity violating phases. (paper)