On a clean determination of ϕ2\phi_2

We point out that time dependent study of four decay modes B^0(t)\to \Dbar K_S, $B^0(t)\to D K_S$ \Bbar^0(t)\to \Dbar K_S, and \Bbar^0(t)\to D K_S allows us to measure $\sin(\phi_1-\phi_2)$ - contrary to previously obtained result that it measures $\sin(2\phi_1+\phi_3)$. The time dependent study of $B_s^0(t)\to D^\pm_sK^\mp$, and the study of B^-\to K^-(D,\Dbar)\to K^-f decay where $D\to f$ is a doubly Cabibbo suppressed decay yield information on $\phi_3$, as previusly expected.Comment: 6 pages 2 figure

Comments on CPT tests

What do we know about CPT symmetry? We conclude that the direcrt measurement of CPT violation leads to a result that CPT violation force is limited to about 30% of CP violating forces. The best test of CPT symmetry is to see if theoretical prediction for the phase of eta_{+-} and eta_{00} agree with experiments. We discuss uncertainties associated with this prediction, and how to improve it. A new test of CPT is also discussed.Comment: Talk presented at KEK-Tanash workshop on K decay

Summary of Weak Decays, CKM and CP Violation Session Penguins

In our subgroup, we focused on penguin physics from various different angles. Our discussions included: (1) A method to extract one of the angles of the unitarity triangle $\phi_2$; (2) Methods to extract $\phi_3$ from $B\to K\pi$ decays; (3) Effects of non-minimal SUSY on B and K decays; (4) Understnding large branching ratios for $B\to \eta'+K(K^*)$ decays; (5) New calculation for hadronic matrix elements which are needed to compute $\epsilon'/\epsilon$.Comment: To appear in the proceedings for WIN99 Cape Tow

Is Super-BB Sufficiently Superb? -- On the Motivation for a Super-BB Factory

Despite the great success of the $\Upsilon (4S)$ $B$ factories at KEK and SLAC and the guaranteed addition of high sensitivity measurements on beauty decays to be performed at the Tevatron and LHC, a strong case can be made for an $e^+e^-$ Super-$B$ factory yielding data samples of order $10^{10}$ $B \bar B$ pairs as a necessity rather than luxury. It has to be justified through its ability to not only establish deviations from the Standard Model, but also diagnose and interpret those in terms of specific features of the New Dynamics. The role to be played by a Super-$B$ factory is thus analogous {\em and even in parallel} to that of a linear collider. The latter's goal is to provide more detailed information on previously discovered New Physics involved in the electroweak phase transition. Likewise a Super-$B$ factory would provide precision probes for analyzing whether such New Dynamics has an impact on heavy flavour dynamics -- a need particularly manifest if the New Physics is housed under the `big tent' of SUSY. The huge statistics of a Super-$B$ factory and the comprehensive body of accurate measurements uniquely possible there would be harnessed in several classes of studies, among them more precise extractions of $V(ub)/V(cb)$ and $V(td)/V(ts)$, more detailed analyses of $B\to \gamma X_{s,d}, l^+l^-X$ and novel data on $B\to \tau \nu, \tau \nu D, \nu \bar \nu X$ and maybe even on $\Upsilon (5S) \to B_s \bar B_s$ -- all in addition to a host of CP asymmetries.Comment: Based on talks given at the 5th Workshop on a Higher Luminosity B Factory, Sept. 24 - 26, 2003, Izu, Japan; LATEX, 28 pages, no figure

Searching for T,CP,CPT,and \Delta S = \Delta Q rule violations in the neutral K meson system - a guide

It is known that the existing experimental limit for$CPT$ violation is rather poor; the 10 \% level at best. The \DSDQ rule is tested only up to 2 \%. In this note, we discuss the possibility of measuring $T, CP, CPT$ and \DSDQ rule violations in the neutral $K$ meson system. It is shown that not all the symmetry breaking parameters can be determined at a symmetric $\phi$ factory. Experiments with $K^0$ and $\bar{K}^0$ beams are needed to test all the symmetries.Comment: RevTex, 43 pages, DPNU 93-0

A new method of determining ∣Vub∣|V_{ub}| by the processes Bˉ→ρlνˉ\bar{B} \to \rho l \bar{\nu} and \bar{B} \to K^* l \lbar

The differential decay width of the process $\bar{B} \rightarrow \rho l \bar{\nu}$ is related to that of the process \bar{B} \rightarrow K^* l \lbar by using $SU(3)$-flavor symmetry and the heavy quark symmetry. The ratio of the Kobayashi-Maskawa matrix elements is obtained in the zero recoil limit of $\rho$ and $K^*$, allowing a determination of $|V_{ub}|$.Comment: Latex file 9 pag

Calculation of Magnetic Penguin Amplitudes in B -> phi K Decays using PQCD Approach

New physics contributions to B decays often arise through chromo-magnetic penguin operators. To look for new physics effects in B decays, it is useful to be able to estimate the hadronic matrix elements for the chromo-magnetic operator. We compute this contribution to B ->phi K decays using PQCD methods. It is shown that, if the Wilson coefficient of the new physics is same order of magnitude as that of the Standard Model, this operator gives a non-negligible contribution compared to that of the Standard Model (about 30%). We also investigate the value of q^2, which is the momentum transferred by the gluon in the chromo-magnetic penguin operator. We find that the expectation value is approximately M^2_B/4, in agreement with a naive guess. This result, however, is very sensitive to the scale dependence of the Wilson coefficient. We also show that the matrix element for the chromo-magnetic penguin operator is independent of the choice of energy scale to a very good approximation.Comment: 15 pages, 3 figures, LaTeX with the PTP style, minor changes of typo

How well can we predict CP asymmetry in B→ππB\to \pi\pi, KπK\pi decays?

Using the perturbative QCD amplitudes for $B\to \pi\pi$ and $B\to K\pi$, we have performed an extensive study of the parameter space where the theoretical predictions for the branching ratios are consistent with recent experimental data. From this allowed range of parameter space, we predict the mixing induced CP asymmetry for $B \to \pi^+\pi^-$ with about 11% uncertainty and the other CP asymmetries for $B\to \pi\pi$, $K\pi$ with 40% ~ 47% uncertainty. These errors are expected to be reduced as we restrict the parameter space by studying other decay modes and by further improvements in the experimental data.Comment: 15 pages, 4 figures, 2 table

CP Violation and Nonleptonic B-meson Decays

We discuss the perturbative QCD approach for exclusive non-leptonic two body B-meson decays. We briefly review its ingredients and some important theoretical issues related to the factorization approach. PQCD results are compatible with present experimental data for the charmless B-meson decays. We predict the possibility of large direct CP violation effects in $B^0 \to \pi^{+}\pi^{-}$ $(23\pm7$ and $B^0\to K^{+}\pi^{-}$ $(-17\pm5$. For charmed decay $B \to D^{(*)}\pi$, we get large non-factorizable contributions for Color-suppressed decays and obtain $|a_2/a_1|\sim 0.4-0.5$ and $Arg(a_2/a_1)\sim -42^{o}$. In the last section we investigate the method to extract the weak phases $\phi_2$ from $B \to \pi\pi$ decay and $\phi_3$ from $K\pi$ modes. From BaBar measurement of CP asymmetry for the $\pi^{+}\pi^{-}$ decay, the prefered CKM weak phases are: $\phi_1=(24\pm2)^{o}$, $\phi_2=(78\pm 22)^{o}$ and $\phi_3=(78\pm 22)^{o}$.Comment: Invited talk at the Workshop on the CKM Unitarity Triangle, IPPP Durham, April 2003 (eConf C0304052). 6 pages LaTeX, 2 eps figures and 3 tables. Correct typos and add references. Final version of the workshop proceeding

Getting at the CP Angles

In anticipation for intensive experimental effort on B physics, theorists have introduced many ingenious ways to measure properties of the unitarity triangle. We review some of these methods. We will be critical in the hope that, if there is any defect in them, it can be remedied either theoretically or experimentally.Comment: Sprocl 15 pages. Talk given (by A.I.S.) at the 7th International Symposium on Heavy Flavor Physics, Santa Barbara, July 7 - 11, 1997 (to appear in the proceedings