Quantum Spacetime Pictures and Dynamics from a Relativity Perspective

Based on an identified quantum relativity symmetry the contraction of which gives the Newtonian approximation of Galilean relativity, a quantum model of the physical space can be formulated with the Newtonian space seen in a way as the classical approximation. Matching picture for the observable algebra as the corresponding representation of the group C* -algebra, describes the full dynamical pictures equally successfully. Extension of the scheme to a Lorentz covariant setting and beyond will also be addressed.The formulation of quantum mechanics allows the theory to be seen in a new picture in line with the notion of a noncommutative spacetime.Comment: For submission to Proc. of 10th Meeting of Balkan Physics Union, Sofia, Bulgari

Neutrino Masses and Beyond from Supersymmetry

A generic form of the supersymmetric SM naturally gives rise to the lepton number violating neutrino masses and mixings, without the need for extra superfields beyond the minimal spectrum. Hence, SUSY can be consider the origin of beyond SM properties of neutrinos. We have developed a formulation under which one can efficiently analyze the model. Various sources of neutrino masses are discussed in details. Such mass contributions come from lepton number and flavor violating couplings that also give rise to a rich phenomenology of the neutrinos and other leptons, to be discussed.Comment: +8 latex pages with ws-procs9x6.cls (included); talk at NOON 200

LR Scalar Mixings and One-loop Neutrino Masses

Within the framework of the complete theory of supersymmetry without R-parity, where all possible R-parity violating terms are admitted, we perform a systematic analytical study of all sources of neutrino masses up to ``direct one-loop" (defined explicitly below) level. In the passing, we present the full result for squark and slepton masses. In particular, there are interesting $LR$ squark and slepton mixings, which involve both bilinear and trilinear R-parity violating parameters. The existence and important phenomenological implications of such terms have been largely overlooked in previous studies. In particular, in the studies under which either one type of the couplings is assumed to vanish or neglected, the terms would not show up. The $LR$ mixings play a central role in neutrino mass generation. Our results look straight forward to be obtained, which, in our opinion, is an illustration of the effectiveness of our formulation adopted.Comment: 19 pages in JHEP style, with 8 figures incoporated; modified with extended discussion and a new appendix. Version to be published in JHE