Probing large extra dimensions with neutrinos

We study implications of theories with sub-millimeter extra dimensions and M-f similar to (1-10) TeV scale quantum gravity for neutrino physics, In th ese 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 s pace. Mixing of neutrinos with (SM) singlet fermions propagating in the bul k is naturally suppressed by the Volume factor M-f/M-p similar to 3 X 10(-1 6)-3 X 10(-15), where M-p is the Planck mass. Properties of the neutrino os cillations and the resonance conversion to the bulk fermions are considered . We show that the resonance conversion of the electron neutrinos to the li ght bulk fermions can solve the solar neutrino problem. The signature of th e solution is the peculiar distortion of the solar neutrino spectrum. The s olution implies that the radius of at least one extra dimension should be i n the range 0.06-0.1 mm irrespective of total number of extra dimensions. T he corresponding modification of the Newtonian law is within the range of s ensitivity of proposed sub-millimeter experiments, thus providing a verifia ble link between neutrino physics and the gravity measurements. (C) 1999 El sevier Science B.V. All rights reserved.