An Isospin Analysis of CPCP Violation in Bd→DπB_{d}\to D\pi, D∗πD^{*}\pi and DρD\rho

By use of current experimental data, we carry out an isospin analysis of the weak decays $B\rightarrow D\pi, D^{*}\pi$ and $D\rho$. It is found that only in $B\rightarrow D\rho$ the strong phase shift of two different isospin amplitudes can be approximately neglected. We derive some useful relations between the $CP$-violating measurables and the weak and strong transition phases, and illustrate the different effects of final-state interactions on $CP$ violation in $B_{d}\rightarrow D\pi, D^{*}\pi$ and $D\rho$.Comment: LaTex 9 pages (3 figs). A misleading assumption is removed and a little more material is added. (Accepted for publication in Phys. Lett. B

Effect of the Space-like Penguin Diagrams on CP Asymmetries in Exclusive B Decays

The space-like penguin contributions were ignored on little ground in many previous studies of nonleptonic B decays and CP violation. Taking the penguin-dominated channels $B^{-} _{u}\rightarrow \bar{K}^{0}\pi$ and $B^{-}_{u}\rightarrow K^{0} K^{-}$ for example, we illustrate the non-negligible effects of the space-like penguin diagrams on CP asymmetries. Some quali- tative remarks are given on the gluonic penguin picture and the direct CP violation in exclusive two-body decays of B mesons.Comment: 10 Latex pages, 2 figures. (Accepted for publication in Physics Letters B

Investigation of RNA Binding Protein Pumilio as a Genetic Modifier of Mutant CHMP2B in Frontotemporal Dementia (FTD): A Masters Thesis

Frontotemporal dementia (FTD) is the second most common early-onset dementia. A rare mutation in CHMP2B gene was found to be associated with FTD linked to chromosome 3. Previous studies have shown that mutant CHMP2B could lead to impaired autophagy pathway and altered RNA metabolism. However, it is still unknown what genes mediate the crosstalk between different pathways affected by mutant CHMP2B. Genetic screens designed to identify genes interacting with mutant CHMP2B represents a key approach in solving the puzzle. Expression of mutant CHMP2B (CHMP2Bintron5) in Drosophila eyes leads to a neurodegenerative phenotype including melanin deposition and disrupted internal structure of ommatidia. The phenotype is easily quantified by estimating the percentage of black dots on the surface of the eyes. Using this established Drosophila model, I searched for genes encoding RNA binding proteins that genetically modify CHMP2Bintron5 toxicity. I found that partial loss of Pumilio, a translation repressor, mitigates CHMP2Bintron5 induced toxicity in the fly eyes. Western blot analysis showed that down regulation of Pumilio does not significantly decrease CHMP2Bintron5 protein level, indicating indirect regulation involved in suppression of the phenotype. The molecular targets regulated by Pumilio and the mechanism underlying CHMP2Bintron5 toxicity suppression by Pumilio down-regulation requires further investigation

Nova metoda s probnom jednadžbom za točna rješenja nelinernih diferencijalnih jednadžbi za putujuće valove

We propose an new trial equation method to solve nonlinear differential equations. By this method, we obtain some exact solutions to the RLW-Burgers equation and the (2+1)-dimensional KdV-Burgers equation.Predlažemo novu metodu s probnom jednadžbom za rješavanje diferencijalnih jednadžbi. Tom metodom nalazimo neka točna rješenja RLW-Burgersove i (2+1)- dimenzijske KdV-Burgersove jednadžbe

Nova metoda s probnom jednadžbom za točna rješenja nelinernih diferencijalnih jednadžbi za putujuće valove

We propose an new trial equation method to solve nonlinear differential equations. By this method, we obtain some exact solutions to the RLW-Burgers equation and the (2+1)-dimensional KdV-Burgers equation.Predlažemo novu metodu s probnom jednadžbom za rješavanje diferencijalnih jednadžbi. Tom metodom nalazimo neka točna rješenja RLW-Burgersove i (2+1)- dimenzijske KdV-Burgersove jednadžbe

Lepton Mass Hierarchy and Neutrino Mixing

We speculate that the mass spectrum of three neutrinos might have a normal hierarchy as that of three charged leptons or that of three up-type (or down-type) quarks. In this spirit, we propose a novel parametrization of the $3\times 3$ lepton flavor mixing matrix. Its mixing angles $\theta_l$ and $\theta_\nu$ can be related to the mass ratios $m_e/m_\mu$ and $m_1/m_2$ in a specific texture of lepton mass matrices with vanishing (1,1) elements: $\tan\theta_l = \sqrt{m_e/m_\mu}$ and $\tan\theta_\nu = \sqrt{m_1/m_2}$. The latter relation, together with solar and atmospheric neutrino oscillation data, predicts 0.0030 eV $\lesssim m_1 \lesssim$ 0.0073 eV, 0.009 eV $\lesssim m_2 \lesssim$ 0.012 eV and 0.042 eV $\lesssim m_3 \lesssim$ 0.058 eV. The smallest neutrino mixing angle is found to be $\theta_{13} \approx \theta_l/\sqrt{2} \approx 3^\circ$, which is experimentally accessible in the near future.Comment: RevTex 10 pages, 2 figure

Effect of K0−Kˉ0K^{0}-\bar{K}^{0} Mixing on CPCP Asymmetries in Weak Decays of DD and BB Mesons

Within the standard electroweak model we carry out an instructive analysis of the effect of $K^{0}-\bar{K}^{0}$ mixing on $CP$ asymmetries in some weak decay modes of $D^{\pm}$ and $\stackrel{(-)}{B}$$^{0}_{d}$ mesons. We point out that a clean signal of $CP$ violation with magnitude of 2Re($\epsilon$) $\approx 3.3\times 10^{-3}$ can manifest in the semileptonic decays $D^{+}\rightarrow l^{+}\nu^{~}_{l}K_{S}$ ($K_{L}$) vs $D^{-}\rightarrow l^{-}\bar{\nu}^{~}_{l}K_{S}$ ($K_{L}$). The $CP$ asymmetries are also dominated by 2Re($\epsilon$) in the two-body nonleptonic decays $D^{\pm} \rightarrow (\pi^{\pm}, \rho^{\pm}, a^{\pm}_{1})+ (K_{S}, K_{L})$ and in the multi-body processes $D^{\pm}\rightarrow \pi^{\pm}+n_{0}\pi^{0}+n_{\pm} (\pi^{\pm}\pi^{\mp})+ (K_{S}, K_{L})$, where $n_{0}$ and $n_{\pm}$ are integers. It is possible to observe such $CP$-violating signals with about $10^{7}$ $D^{\pm}$ events at $\tau$-charm factories or hadron machines. Finally we show that the $CP$ asymmetry induced by Re($\epsilon$) may compete with those from $B^{0}_{d}-\bar{B}^{0}_{d}$ mixing and final-state interactions in the semi-inclusive and exclusive decays $B_{d}\rightarrow X(c\bar{c})+(K_{S}, K_{L})$ on the $\Upsilon (4S)$ resonance.Comment: 10 Latex pages + 2 figures. Phys. Lett. B (in printing