PROBING SUPERSYMMETRIC GRAND UNIFICATION WITH CP AND FLAVOR VIOLATIONS

dc.contributor.advisorPati, Jogesh Cen_US
dc.contributor.authorRastogi, Parulen_US
dc.contributor.departmentPhysicsen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2007-02-01T20:20:20Z
dc.date.available2007-02-01T20:20:20Z
dc.date.issued2006-08-24en_US
dc.description.abstractA major part of my thesis is devoted to explore certain issues of CP and flavor violations in conjunction with those of fermion masses and neutrino oscillations in the context of supersymmetric grand unification. An attempt is made to present a {\it unified description} of four phenomena: (i) fermion masses and mixings, (ii) neutrino oscillations, (iii) CP non conservation and (iv) flavor violations in both the quark and the lepton sectors, in accord with observations, within a single predictive framework based on supersymmetric SO(10) or an effective $G(224)$ symmetry. Including standard model and supersymmetric contributions, it is shown that the framework correctly accounts for $\Delta m_K,~ \Delta m_{B_d}, ~ S(B_d\to J/\psi K_s)$ {\it and } $\epsilon_K$. While SUSY-contribution is small ($\lsim $ few\%) for the first three quantities, that to $\epsilon_K$ is found to be sizable ($\sim$ 20-25\%) and negative relative to the standard model as desired. The model predicts $S(B_d\to \phi K_s)$ to be in the range +(0.65--0.73), close to the standard model prediction; it yields $Re(\epsilon'/\epsilon)_{SUSY}\approx +(4-14)\times 10^{-4}$. The model also predicts that the electric dipole moments of the neutron and the electron should be discovered with improvements in current limits by factors of 10 to 100. Assuming SUSY-messenger scale to be higher than the GUT scale, it is found that post-GUT physics, which has commonly been neglected in the literature, contributes significantly to CP and flavor violating processes. Including such contributions, the model predicts enhanced rates for $\mu\to e\gamma, ~\tau\to \mu\gamma$ and $\mu N\to e N$ which should be seen in forthcoming experiments. A comparison of two promising SO(10) models, one with hierarchical fermion mass matrices (by Babu, Pati and Wilczek), and the other with lop-sided mass matrices (by Albright and Barr) is done, as regards their predictions regarding CP and flavor violations. Crucial tests are noted which would sharply distinguish between the models. Envisaging string origin of the effective unification symmetry in 4D, the second part of my thesis will explore the issue of gauge coupling unification at the string scale when supersymmetric standard model and an extension is embedded in an effective G(224) or $G(214)\equiv SU(2)_L\times U(1)_{I_{3R}}\times SU(4)^c$ symmetry near the GUT scale.en_US
dc.format.extent1312410 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/4059
dc.language.isoen_US
dc.subject.pqcontrolledPhysics, Elementary Particles and High Energyen_US
dc.subject.pquncontrolledGrand Unificationen_US
dc.subject.pquncontrolledSO(10)en_US
dc.titlePROBING SUPERSYMMETRIC GRAND UNIFICATION WITH CP AND FLAVOR VIOLATIONSen_US
dc.typeDissertationen_US

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