Supersymmetric Contributions to the B -> phi K Decays in the PQCD Approach

We study the effects of supersymmetric contribution on both the B_d -> phi K^0 and B^\pm -> phi K^\pm modes using the perturbative QCD approach. We estimate the deviation of mixing-induced and direct CP asymmetries and discuss the strong-phase dependence of them.Comment: 4 pages, 2 figures, to appear in the proceedings of the 12th International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY 2004), Tsukuba, Japan, June 17-23, 200

Study of Penguin Pollution in the B^0 -> J/psi K_S Decay

We study the penguin pollution in the B^0 -> J/psi K_S decay up to leading power in 1/m_b and to next-to-leading order in \alpha_s, m_b being the b quark mass and \alpha_s the strong coupling constant. The deviation \Delta S_{J/psi K_S} of the mixing-induced CP asymmetry from sin(2\phi_1) and the direct CP asymmetry A_{J/psi K_S} are both found to be of O(10^{-3}) in a formalism that combines the QCD-improved factorization and perturbative QCD approaches.Comment: 4 pages, 5 figures; talk given at the 4th International Workshop on the CKM Unitarity Triangle (CKM2006), Nagoya, Japan, Dec. 12-16, 200

Theoretical status of the B --> pi K decays

We review the theoretical status of the B --> pi K decays, focusing on recent developments in the QCD factorization and perturbative QCD approaches as well as on the Standard-Model correlation between the mixing-induced and direct CP asymmetries of the B^0 --> pi^0 K^0 mode.Comment: 6 pages. Proceedings of CKM2010, the 6th International Workshop on the CKM Unitarity Triangle, University of Warwick, UK, 6-10 September 2010; minor changes, references adde

Recent Developments in the PQCD Approach

We review recent developments in the perturbative QCD approach to exclusive hadronic B meson decays. We discuss the important next-to-leading-order corrections to B -> pi K, pi pi, and the penguin-dominated B -> PV modes, where P (V) is a pseudo-scalar (vector) meson.Comment: 4 pages, 4 figures; talk given at the 4th International Workshop on the CKM Unitarity Triangle (CKM2006), Nagoya, Japan, Dec. 12-16, 200

Hadronic B Decays in PQCD

I review recent progress on exclusive hadronic B meson decays in the perturbative QCD approach, with focus on puzzles in the branching ratios and the CP asymmetries of the B -> pi K and B -> pi pi modes, and polarization fractions in B -> VV modes.Comment: Invited talk at Flavor Physics & CP Violation Conference, Vancouver, 2006; 5 pages, 2 figure

Non-Abelian strategies in quantum penny flip game

In this paper, we formulate and analyze generalizations of the quantum penny flip game. In the penny flip game, one coin has two states, heads or tails, and two players apply alternating operations on the coin. In the original Meyer game, the first player is allowed to use quantum (i.e., non-commutative) operations, but the second player is still only allowed to use classical (i.e., commutative) operations. In our generalized games, both players are allowed to use non-commutative operations, with the second player being partially restricted in what operators they use. We show that even if the second player is allowed to use "phase-variable" operations, which are non-Abelian in general, the first player still has winning strategies. Furthermore, we show that even when the second player is allowed to choose one from two or more elements of the group $U(2)$, the second player has winning strategies under certain conditions. These results suggest that there is often a method for restoring the quantum state disturbed by another agent.Comment: 11 pages, 2 figure

Bound State Effect on the Electron g-2

We evaluate a non-perturbative QED contribution to the electron g-2 which comes from virtual positronium. We find it to be 9.0*10^{-14}. This value is comparable to the five-loop contribution of usual perturbative calculation, and several times larger than the electroweak correction.Comment: 4 pages, 5 figures, 1 tabl

Non-linear effects for cylindrical gravitational two-soliton

Using a cylindrical soliton solution to the four-dimensional vacuum Einstein equation, we study non-linear effects of gravitational waves such as Faraday rotation and time shift phenomenon. In the previous work, we analyzed the single-soliton solution constructed by the Pomeransky's improved inverse scattering method. In this work, we construct a new two-soliton solution with complex conjugate poles, by which we can avoid light-cone singularities unavoidable in a single soliton case. In particular, we compute amplitudes of such non-linear gravitational waves and time-dependence of the polarizations. Furthermore, we consider the time shift phenomenon for soliton waves, which means that a wave packet can propagate at slower velocity than light.Comment: 13 pages, 8 figure

Measurement of Squark Flavor Mixings in Supersymmetric Models at Super B Factory

We discuss potential to measure squark flavor mixings based on future data at super B factory and LHC. In particular we focus on the imaginary part of the mixings by investigating the CP violating observables. As a result, we find they are determined with the uncertainty about 10 % at best.Comment: 18 pages, 2 figure

Construction and application of variations on the cylindrical gravitational waves of Weber, Wheeler, and Bonnor

To clarify certain nonlinear properties of strong gravitational field, we investigate cylindrically symmetric gravitational waves that are localized as regular wave packets in the space of radial and time coordinates. The waves are constructed by applying a certain kind of harmonic mapping method to the seed solutions with linear polarization, which are generalizations of the solution representing a cylindrical gravitational pulse wave discussed by Weber-Wheeler and Bonnor. The solutions obtained here, though their form is rather simple, show occurrence of strong mutual conversion between a linear mode and a cross mode apparently. The single localized wave shows the conversion in the vicinity of the symmetric axis where the self-interaction is strengthened, and the collision between multiple waves also causes the conversion. These phenomena can be thought to be the emergence of genuine nonlinearity that the Einstein gravity holds. Finally we discuss a simple, but interesting application of the solutions to the case of the Einstein-Maxwell system.Comment: 33 pages, 15 figures, the figures have been displayed, to be published for Phys.Rev.