Interrelating Fermion Masses, CP Violation and Baryogenesis via Grand Unification

Details Interrelating Fermion Masses, CP Violation and Baryogenesis via Grand Unification Interrelating Fermion Masses, CP Violation and Baryogenesis via Grand Unification

Aug 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005pasc.conf..202p&link_type=abstract

PASCOS 2004 Part I: Particles, Strings and Cosmology* Part II: Themes in Unification -- The Pran Nath Festschrift†. *,†Proceedin

Computer Science

Scientific paper

An attempt is made to interrelate (i) fermion masses, (ii) neutrino oscillations, (iii) CP and flavor violations, and (iv) baryogenesis via leptogenesis, within supersymmetric grand unification, based on an effective symmetry which is either G(224) = SU(2)L × SU(2)R × SU(4)c or SO(10). Reviewing the framework proposed in this context by Babu, Pati and Wilczek (BPW), which successfully describes fermion masses and neutrino oscillations, a recent work by Babu, Rastogi and me is presented. It is shown that the BPW framework can be extended rather simply to include CP violation that is intimately linked to fermion masses and neutrino oscillations. Including SM and SUSY contributions, it is found that the extension can correctly account for the observed flavor and/or CP violations in ΔmK, ΔmBd, S(Bd → J/ψKS) as well as ɛK, while retaining the successes of the BPW framework as regards fermion masses and neutrino oscillations. While SUSY contribution is small (≲ few%) for the first three quantities, that to ɛK is sizable (~ 20-25%) and negative (as desired) compared to that of the SM. The model predicts S(Bd → ϕKS) to be in the range +(0.65-0.73), close to the SM prediction. The model yields Re(ɛ'/ɛ)SUSY ≈ +(4 - 14) × 10-4 the relevance of this contribution can be assessed only when the associated matrix elements are known reliably. The model also predicts that the electric dipole moments of the neutron and the electron, as well as the rare processes μ → eγ and τ → μγ, should be discovered with improvements in the current limits by factors of 10 to 100. Last but not the least, the model naturally leads to baryogenesis via leptogenesis in good accord with observation.

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