Implications from recent measurements on sin 2\beta and muon g-2

The recent data on CP asymmetry in $B->J/\Psi K_S$ and muon g-2 are discussed in the framework of standard model and beyond. Possible new phase effects besides the CKM phase are discussed in the processes concerning CP violation in B decays and muon anomalous magnetic moment (muon g-2). It is found that the new phases will result in difference between angles $beta$ measured from $B->J/\Psi K_S$ and the one from global fit. The ration between them serves as a probe of not only new physics but also new phase besides the CKM phase In the case of muon g-2, the new phase may change the interferences between various contributions. By including the new phases, some cancelations in the real coupling cases can be avoided and the large value of muon g-2 observed in the recent measurements can be understood.Comment: 7 pages, no figure. Talk delivered by Y.F.Zhou at International Conference on Flavor Physics (ICFP2001), May 31-June.6, at Zhang-Jia-Jie, Chin

Isospin relation and SU(3) breaking effects of strong phases in Charmless B decays

Isospin and flavor SU(3) relations in charmless hadronic B decays $B\to \pi \pi, \pi K$ are investigated in detail with paying attention to the SU(3) symmetry breaking effects in both amplitudes and strong phases. In general, the isospin and the flavor SU(3) structure of the effective Hamiltonian provide several relations among the amplitudes and strong phases. Whereas a global fit to the latest data shows that some relation seems not to be favorable for a consistent explanation to the current data within the standard model (SM). By considering several patterns of SU(3) breaking, the amplitudes and the corresponding strong phases are extracted and compared with the theoretical estimations. It is found that in the case of SU(3) limits and also the case with SU(3) breaking only in amplitudes, the fitting results lead to an unexpected large ratio between two isospin amplitudes $a^{c}_{3/2}/a^{u}_{3/2}$, which is about an order of magnitude larger than the SM prediction. The results are found to be insensitive to the weak phase $\gamma$. By including SU(3) breaking effects on the strong phases, one is able to obtain a consistent fit to the current data within the SM, which implies that the SU(3) breaking effect on strong phases may play an important role in understanding the observed charmless hadronic B decay modes $B\to \pi \pi$ and $\pi K$. It is possible to test those breaking effects in the near future from more precise measurements of direct CP violation in B factories.Comment: 14 pages, revtex4, no figure, references added. Updated to the latest data. To appear in Euro. Phys. Journ.

Implications of Charmless B Decays with Large Direct CP Violation

Based on the most recent data in charmless B decays including the very recently reported large direct CP violations, it is shown that the weak phase gamma can well be extracted without two-fold ambiguity even only from two decay modes pi^+pi^- and pi^+K^-, and its value is remarkably consistent with the global standard model fit at a compatible accuracy. A fit to all the pi pi, pi K data favor both large electroweak penguin and color-suppressed tree amplitude with large strong phases. It is demonstrated that the inclusion of small SU(3)symmetry breaking effects of strong phases and the inelastic rescattering effects can well improve the consistency of the data, while both effects may not be sufficient to arrive at a small electroweak penguin amplitude in the standard model. It is of interest to notice that large or small electroweak penguin amplitude becomes a testable prediction as they lead to significantly different predictions for the direct CP violations for pi^0 pi^0, pi^0 K^0 modes. Clearly, precise measurements on charmless B decays will provide a window for probing new physics.Comment: 4 pages, 1 figure, 1 table, results updated with the latest data. conclusions unchanged. Refence added. published versio