Large Extra Dimensions and neutrino experiments

The existence of Large Extra Dimensions can be probed in various neutrino experiments. We analyze several neutrino data sets in a model with a dominant large extra dimension. We show that the Gallium anomaly can be explained with neutrino oscillations induced by the large extra dimension, but the region of parameter space which is preferred by the Gallium anomaly is in tension with the bounds from reactor rate data, as well as the data of Daya Bay and MINOS. We also present bounds obtained from the analysis of the KATRIN data. We show, that current experiments can put strong bounds on the size $R_{\text{ED}}$ of the extra dimension: $R_{\text{ED}} < 0.20~\mu\text{m}$ and $R_{\text{ED}} < 0.10~\mu\text{m}$ at 90\% C.L. for normal and inverted ordering of the standard neutrino masses, respectively.