The $b\to s$ penguin amplitude in charmless $B\to PP$ decays

Abstract

The $b\to s$ penguin amplitude affects a number of $B$ meson decays to two pseudoscalar ($P$) mesons in which potential anomalies are being watched carefully, though none has yet reached a statistically compelling level. These include (a) a rate for $B^0\to K^0{\pi }^0$ which is slightly enhanced with respect to expectations; (b) a time-dependent CP asymmetry parameter $S$ for $B^0\to K^0{\pi }^0$ which is low in comparison with the expected value of $\sin 2\beta \simeq 0.73$, and (c) a similar deviation in the parameter $S$ for $B^0\to {\eta }^{\prime }{K}_S$. These and related phenomena involving vector mesons in the final state are discussed in a unified way in and beyond the Standard Model. Future experiments which would conclusively indicate the presence of new physics are identified. Several of these involve decays of the strange $B$ meson $B_s$. In the Standard Model we note an approximate sum rule for CP rate differences in $B^0\to K^{+}{\pi }^{-},B^{+}\to K^{+}{\pi }^0$ and $B^0\to K^0{\pi }^0$, predicting a negative sign for the latter asymmetry.

23 pages, one figure, to be published in Phys. Rev. D. One reference updated; small typos corrected; one last correction

References in corpus (18)

• The 2004 UTfit Collaboration Report on the Status of the Unitarity Triangle in the Standard Model
• Measurement of Polarization and Triple-Product Correlations in B -> phi K^* Decays
• Effects of Final-state Interactions on Mixing-induced CP Violation in Penguin-dominated B Decays
• The B -> pi K Puzzle and New Physics
• Difference in B^+ and B^0 Direct CP Asymmetry as Effect of a Fourth Generation
• Time-Dependent CP-Violating Asymmetries in b -> s qbar q Transitions
• Is observed direct CP violation in $B_d\to K^{+}{\pi }^{-}$ due to new physics? Check standard model prediction of equal violation in $B_s\to K^{-}{\pi }^{+}$
• Weak phases from the $B\to \pi \pi$, $K\pi$ decays
• Comment on ``B->M_1 M_2: Factorization, charming penguins, strong phases, and polarization''
• Implications of Charmless B Decays with Large Direct CP Violation
• Measurements of Branching Fractions and Time-Dependent CP-Violating Asymmetries in B to eta' K Decays
• Measurement of CP Asymmetries in B0 --> Phi K0 and B0 --> K+K-K0S Decays
• Charmless decays B->pipi, piK and KK in broken SU(3)symmetry
• On Differences Between SCET and QCDF for B->pi pi Decays
• Measurement of Time-Dependent CP-Violating Asymmetries in $B_0\to K_s{K}_s{K}_s$ Decay
• Measurement of the Branching Fraction and the CP-Violating Asymmetry for the Decay B0 --> K0S Pi0
• B-meson signatures of a Supersymmetric U(2) flavor model
• Branching Fractions and CP Asymmetries in Two-Body Nonleptonic Charmless b-Hadron Decays

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