CP Violation Beyond the Standard Model in Hadronic B Decays

In this talk I discuss three different methods, using B_d to J/psi K_S, J/psi K_s pi^o, B_d to K^- pi^+, pi^+ pi^- and B_u to K^- pi^0, bar K^0 pi^- pi^- pi^0, to extract hadronic model independent information about new physics.Comment: Invited talk given at the 3rd International Conference on B Phyiscs and CP Violation. Latex 7 pages including two figure

Is the Zee model neutrino mass matrix ruled out?

A very economic model of generating small neutrino masses is the Zee model. This model has been studied extensively in the literature with most of the studies concentrated on the simplest version of the model where all diagonal entries in the mass matrix are zero. SNO, and KamLAND data disfavor this simple version, but only when one also combines information from atmospheric and K2K data, can one rule out this model with high confidence level. We show that the simplest version of Zee model is ruled out at $3\sigma$ level. The original Zee model, however, contains more than enough freedom to satisfy constraints from data. We propose a new form of mass matrix by naturalness consideration. This new form of mass matrix predicts that $m_{\nu_3} = 0$, and $\tan^2\theta_{solar}$ increases with $|V_{e3}|$. For the best fit value of $\tan^2\theta_{solar}$, $|V_{e3}|$ is sizeable but below the upper bound.Comment: RevTex 13 pages, figure with new data, more discussions added and minor errors correcte

Dispersion Relations Explaining OPERA Data From Deformed Lorentz Transformation

OPERA collaboration has reported evidence of superluminal phenomenon for neutrinos. One of the possible ways to explain the superluminality is to have Lorentz symmetry violated. It has been shown that dispersion relations put forwards has the problem of physics laws vary in different inertial frames leading to conflicting results on Cherenkov-like radiation, pion decay and high energy neutrino cosmic ray. For theories with deformed Lorentz symmetry, by modifying conservation laws corresponding to energy and momentum in the usual Lorentz invariant theory, it is possible to have superluminal effect and at the same time avoid to have conflicts encountered in Lorentz violating theories. We study dispersion relations from deformed Lorentz symmetry. We find that it is possible to have dispersion relations which can be consistent with data on neutrinos. We show that once the superluminality $\delta v$ as a function of energy is known the corresponding dispersion relation in the deformed Lorentz symmetry can be determined.Comment: 8 pages, 2 figures. Several typos corrected and some references adde

Strong, Electroweak Interactions and Their Unification with Noncommutative Space-time

Quantum field theories based on noncommutative space-time (NCQFT) have been extensively studied recently. However no NCQFT model, which can uniquely describe the strong and electroweak interactions, has been constructed. This prevents consistent and systematic study of noncommutative space-time. In this work we construct a NCQFT model based on the trinification gauge group $SU(3)_C\times SU(3)_L\times SU(3)_R$. A unique feature of this model, that all matter fields (fermions and Higgses) are assigned to (anti-)fundamental representations of the factor SU(3) groups, allows us to construct a NCQFT model for strong and electroweak interactions and their unification without ambiguities. This model provides an example which allows consistent and systematic study of noncommutative space-time phenomenology. We also comment on some related issues regarding extensions to $E_6$ and $U(3)_C\times U(3)_L\times U(3)_R$ models.Comment: 12 pages, Revtex, no figures. Version to be published in ERJ