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We consider a model where sterile neutrinos can propagate in a largecompactified extra dimension giving rise to Kaluza-Klein (KK) modes and thestandard model left-handed neutrinos are confined to a 4-dimensional spacetimebrane. The KK modes mix with the standard neutrinos modifying their oscillationpattern. We examine former and current experiments such as CHOOZ, KamLAND, andMINOS to estimate the impact of the possible presence of such KK modes on thedetermination of the neutrino oscillation parameters and simultaneously obtainlimits on the size of the largest extra dimension. We found that the presenceof the KK modes does not essentially improve the quality of the fit compared tothe case of the standard oscillation. By combining the results from CHOOZ,KamLAND and MINOS, in the limit of a vanishing lightest neutrino mass, weobtain the stronger bound on the size of the extra dimension as ~ 1.0(0.6)micrometer at 99% C. L. for normal (inverted) mass hierarchy. If the lightestneutrino mass turn out to be larger, 0.2 eV, for example, we obtain the bound ~0.1 micrometer. We also discuss the expected sensitivities on the size of theextra dimension for future experiments such as Double CHOOZ, T2K and NOvA.

Testing for Large Extra Dimensions with Neutrino Oscillations