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Some Results in M-theory Inspired

It is a great pleasure to present this work in honor of Stan Deser whose numerous fundamental contributions to general relativity and supergravity theory have been so important in the development of high energy physics. We consider string phenomenological models based on 11D Horava-Witten M-theory with 5 branes in the bulk. If the 5-branes cluster close to the distant orbifold plane (dn ≡ 1 − zn ≃ 0.1) and if the topological charges of the physical plane vanish (β (0) i = 0), then the Witten ǫ terms (to first order) are correctly small and a qualitative picture of the quark and lepton mass hierarchy arises without significant fine tuning. If right handed neutrinos exist, a possible gravitationally induced cubic holomorphic contribution to the Kahler potential can exist scaled by the 11D Planck mass. These terms give rise to Dirac neutrino masses at the electroweak scale. This mechanism (different from the seesaw mechanism) is seen to account for both the atmospheric and solar neutrino oscillations. The model also gives rise to possible non-universal soft breaking A parameters in the u and d second and third generation quark sector (A (u,d) 2,3) which naturally can account for the possible (2.4σ) break down of the Standard Model predictions in the recent B-factory data for the B → φKs decays.