We perform for the first time a detailed fit to the ${\overline{\nu }}_e\to {\overline{\nu }}_e$ disappearance data of the Daya Bay experiment in order to constrain the parameter space of models where sterile neutrinos can propagate in a large compactified extra dimension (LED) and models where nonstandard interactions (NSI) affect the neutrino production and detection. We find that the compactification radius $R$ in LED scenarios can be constrained at the level of $0.51\mu \mathrm{m}$ for normal ordering and of $0.17\mu \mathrm{m}$ for inverted ordering, at a confidence level of $2\sigma$. For the NSI model, reactor data put a strong upper bound on the parameter ${ϵ}_{ee}$ at the level of $\sim 10^{-2}$, whereas the main effect of ${ϵ}_{e\mu }$ and ${ϵ}_{e\tau }$ is a worsening of the determination of ${\theta }_{13}$.

• Received 26 March 2014

DOI:https://doi.org/10.1103/PhysRevD.90.073011