Towards the Control over Electroweak Penguins in Nonleptonic B-Decays

Abstract

We present strategies for determining electroweak penguins from experimental data. Using the CKM-angle $\gamma$ as one of our central inputs and making some reasonable approximations, we show that the $\bar{b}\to \bar{s}$ electroweak penguin amplitude can be determined in a two-step procedure involving i) BR$(B^{+}\to {\pi }^0{K}^{+})$, BR$(B^{-}\to {\pi }^0{K}^{-})$, BR$(B^{+}\to {\pi }^{+}{K}^0)$ and ii) either BR$(B_d^0\to {\pi }^{-}{K}^{+})$, BR$({\bar{B}}_d^0\to {\pi }^{+}{K}^{-})$ or $\acp(t)$ of the mode $B_s\to K^{+}{K}^{-}$. The determination employing the $B\to \pi K$ transitions is not affected by $SU(3)$-breaking effects. Relating the $\bar{b}\to \bar{s}$ electroweak penguin amplitude to the $\bar{b}\to \bar{d}$ case through $SU(3)$ symmetry arguments, we are in a position to estimate the electroweak penguin uncertainty affecting the extraction of the CKM-angle $\alpha$ by using isospin relations among $B\to \pi \pi$ decays. Our results allow in principle the determination of CKM-phases in a variety of $B$-decays.

14 pages, LaTeX, Figures not included

References in corpus (8)

• Decays of $B$ Mesons to Two Light Pseudoscalars
• Waiting for the Top Quark Mass, K^+ --> π^+ ν\barν, B_s^0-\bar{B}_s^0 Mixing and CP Asymmetries in B-Decays
• Weak Coupling Phase from Decays of Charged B Mesons to $\pi K$ and $\pi \pi$
• Isospin Structure of Penguins And Their Consequences in $B$ Physics
• Hadronic Penguin B Decays In The Standard And The Two-Higgs-Doublet Models
• Limitations in Measuring the Angle $\beta$ by Using $SU(3)$ Relations for $B$-Meson Decay-Amplitudes
• Measuring Strong and Weak Phases in Time-Independent B Decays
• Unique Signature of Electroweak Penguin In Pure Hadronic $B$ Decays

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• CP violation and CKM phases from angular distributions for $B_s$ decays into admixtures of CP eigenstates
• General Analysis of New Physics in $B\to J/\psi K$
• Exploring New Physics in the $B\to \varphi K$ System
• Flavor SU(3) Symmetry and Factorization in B Decays to Two Charmless Vector Mesons
• Using B_s^0 Decays to Determine the CP Angles αand γ
• Extracting information on CKM phases, electro-weak penguins and new physics from B --> VV decays
• CP Violation in B Decays: The Standard Model and Beyond
• Theory of CP Violation
• B decays and models for CP violation
• Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\to PP$ decays
• Extracting the CKM phase angle γ(\equiv ϕ_3) from isospin analysis in B\to K πdecays