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Probing Large Extra Dimensions with Neutrinos

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arxiv hep-ph/9904211 v2 pith:MMIJDJFI submitted 1999-04-01 hep-ph

Probing Large Extra Dimensions with Neutrinos

classification hep-ph
keywords extraneutrinobulkneutrinosdimensionsfermionscdotconversion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study implications of theories with sub-millimeter extra dimensions and $M_f \sim (1 - 10) $ TeV scale quantum gravity for neutrino physics. In these theories, the left-handed neutrinos as well as other standard model (SM) particles, are localized on a brane embedded in the bulk of large extra space. Mixing of neutrinos with (SM) singlet fermions propagating in the bulk is naturally suppressed by the volume factor $M_f/M_P \sim 3\cdot 10^{-16} - 3\cdot 10^{-15}$, where $M_P$ is the Planck mass. Properties of the neutrino oscillations and the resonance conversion to the bulk fermions are considered. We show that the resonance conversion of the electron neutrinos to the light bulk fermions can solve the solar neutrino problem. The signature of the solution is the peculiar distortion of the solar neutrino spectrum. The solution implies that the radius of at least one extra dimension should be in the range 0.06 - 0.1 mm {\it irrespective} of total number of extra dimensions. The corresponding modification of the Newtonian law is within the range of sensitivity of proposed sub-millimeter experiments, thus providing a verifiable link between neutrino physics and the gravity measurements.

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