arXiv subjects
Publications and source records attributed to Jyoti Prasad Saha.
For 1 Dimensional loop space, a nonlinear nonlocal transformation of fields is given to make the action of the self-interacting quantum field to the free one. A specific type of Classically broken symmetry is restored in Quantum theory. 1-D Sine Gordon system and Sech interactions are treated as the explicit example.
We present an exact analytical method of engineering the localization of electromagnetic waves in a fractal waveguide network. It is shown that, a countable infinity of localized electromagnetic modes with a multitude of localization lengths can exist in a Vicsek fractal geometry built with diamond shaped monomode waveguides as the 'unit cells'. The family of localized modes form clusters of increasing size. The length scale at which the onset of localization for each mode takes place can be engineered at will, following a well defined prescription developed within the framework of a real space renormalization group. The scheme leads to an exact evaluation of the wave vector for every such localized state, a task that is non-trivial, if not impossible for any random or deterministically disordered waveguide network.
Upper bounds at the weak scale are obtained for all $λ_{ij}λ_{im}$ type product couplings of the scalar leptoquark model which may affect K-K(bar), B_d-B_d(bar), and B_s-B_s(bar)$ mixing, as well as leptonic and semileptonic K and B decays. Constraints are obtained for both real and imaginary parts of the couplings. We also discuss the role of leptoquarks in explaining the anomalously large CP-violating phase in B_s-B_s(bar) mixing.
We investigate the ${\bar B_s} \to μ^+ μ^-$ decay in the presence of a light stabilized radion in Randall-Sundrum model. The branching ratio $BR({\bar B_s} \to μ^+ μ^-)$ in the standard model is found to be $3.17 \times 10^{-9}$ (two order smaller than the experimental upper bound) and raises the question whether some new physics can play a crucial role or not. We found that for a reasonable range of parameters (i.e. radion mass $m_ϕ$ and radion vev $\vphi$), the above deficit between the experimental bound and the standard model result can well be accomodated. Using this upper bound on $BR({\bar B_s} \to μ^+ μ^-)$, we obtain the lower bound on $\vphi$.
We discuss the implications of the recent measurement of the $B_s-\bar{B_s}$ oscillation frequency $ΔM_s$ on the parameter space of R-parity violating supersymmetry. For completeness, we also discuss the bounds coming from leptonic, semileptonic, and nonleptonic B decay modes, and point out some possibly interesting channels at LHC.
Within the framework of R-parity violating minimal supergravity model, at least three relatively large lepton-number violating $ł'$ type trilinear couplings at the GUT scale, not directly related to neutrino physics, can naturally generate via renormalization group (RG) evolution and/or CKM rotation the highly suppressed bilinear and trilinear parameters at the weak scale required to explain the neutrino oscillation data. The structure of the RG equations and the CKM matrix restrict the choices of the three input couplings to only eight possible combinations, each with its own distinctive experimental signature. The relatively large input couplings may lead to spectacular low energy signatures like rare weak decays of the $τ$ lepton and K mesons, direct lepton number violating decays of several sparticles, and unconventional decay modes (and reduced lifetime) of the lightest neutralino, assumed to be the lightest supersymmetric particle (LSP), all with sizable branching ratios. Several low background signals at the Tevatron and LHC have been suggested and their sizes are estimated to be at the observable level. From the particle content of the signal and the relative rate of different final states the input couplings at the GUT scale, i.e., the origin of neutrino masses and mixing angles, can be identified.
We perform a model-independent analysis of the data on branching ratios and CP asymmetries of $B\toϕK$ and $B\toη^{(')} K^{(*)}$ modes. The present data is encouraging to look for indirect evidences of physics beyond the Standard Model. We investigate the parameter spaces for different possible Lorentz structures of the new physics four-Fermi interaction. It is shown that if one takes the data at $1σ$ confidence level, only one particular Lorentz structure is allowed. Possible consequences for the $B_s$ system are also discussed.
Upper bounds at the weak scale are put on all $λ'_{ijk}λ'_{imn}$ type products of R-parity violating supersymmetry that may affect K-Kbar and B-Bbar mixing. We constrain all possible products, including some not considered before, using next-to-leading order QCD corrections to the mixing amplitudes. Constraints are obtained for both real and imaginary parts of the couplings. We also discuss briefly some correlated decay channels which should be investigated in future experiments.
We perform a systematic reevaluation of the constraints on the flavor-changing neutral current (FCNC) parameters in R-parity conserving and R-parity violating supersymmetric models. As a typical process, we study the constraints coming from the measurements on the B0-\bar{B0} system on the supersymmetric $δ^d_{13}$ parameters, as well as on the products of the lambda' type R-parity violating couplings. Present data allows us to put constraints on both the real and the imaginary parts of the relevant parameters.
We put constraints on several products of R-parity violating lambda lambda' and lambda' lambda' type couplings from leptonic and semileptonic tau, B_d and B_s decays. Most of them are one to two orders of magnitude better than the existing bounds, and almost free from theoretical uncertainties. A significant improvement of these bounds can be made in high luminosity tau-charm or B factories.