Determination of CKM phases through rigid polygons of flavor SU(3) amplitudes

Abstract

Some new methods for the extraction of CKM phases $\alpha$ and $\gamma$ using flavor SU(3) symmetry have been suggested through the construction of rigid polygons in the complex plane with sides equal to the decay amplitudes of B mesons into two mesons belonging to the light (charmless) pseudoscalar octet. These rigid polygons incorporate all the possible amplitude triangles and, being overdetermined, also serve as consistency checks and in estimating the rates of some decay modes. The same techniques also lead to numerous useful amplitude triangles when octet-singlet mixing has been taken into account and nearly physical $\eta ,{\eta }^{\prime }$ are used.

A few detailed explanations added, some rearrangement of sections and a few minor changes in notation. 19 pages, 1 PostScript figure, uses psfig.sty

References in corpus (9)

• Decays of $B$ Mesons to Two Light Pseudoscalars
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• Weak Coupling Phase from Decays of Charged B Mesons to $\pi K$ and $\pi \pi$
• Broken SU(3) Symmetry in Two-Body B Decays
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• Amplitude relations for $B$ decays involving $\eta$ and ${\eta }^{\prime }$
• Unique Signature of Electroweak Penguin In Pure Hadronic $B$ Decays
• A method for determining CP violating phase $\gamma$
• A Determination of the CKM-angle $\alpha$ using Mixing-induced CP Violation in the Decays $B_d\to {\pi }^{+}{\pi }^{-}$ and $B_d\to K^0{\bar{K}}^0$

Cited by in corpus (20)

• Two body B decays with isosinglet final states in SCET
• SU(3) Relations and the CP Asymmetries in B Decays to ${\eta }^{\prime }{K}_S$, $\varphi K_S$ and $K^{+}{K}^{-}{K}_S$
• Taming the Penguin in the B0(t) -> Pi+Pi- CP-asymmetry: Observables and Minimal Theoretical Input
• Two-Body B Meson Decays to $\eta$ and ${\eta }^{{}^{\prime }}$ -- Observation of $B\to \eta${'}K$
• B Decays Involving $\eta$ and ${\eta }^{\prime }$ in the Light of the $B\to K{\eta }^{\prime }$ Process
• Isospin-breaking effects on alpha extracted in B --> pi pi, rho rho, rho pi
• SU(3) Relations and the CP Asymmetry in $B\to K_S{K}_S{K}_S$
• B Decays to Charmless VP Final States
• Correlated bounds on CP asymmetries in $B^0\to {\eta }^{\prime }{K}_S$
• Nonleptonic two-body charmless B decays involving a tensor meson in ISGW2 model
• Suppression of flavor symmetry breaking in B decay sum rules
• Using SU(3) Relations to bound the CP Asymmetries in $B\to KKK$ decays
• Flavor SU(3) Symmetry and Factorization in B Decays to Two Charmless Vector Mesons
• Determining the Weak Phase $\gamma$ in the Presence of Rescattering
• CP Violation in B Decays: The Standard Model and Beyond
• Determining weak phase gamma and probing new physics in b->s transitions from B->eta(eta')K
• Determining the Weak Phase $\gamma$ using the decays $B_d$, $B^{+}\to K\eta ({\eta }^{\prime })$ and $B_s\to \pi \eta ({\eta }^{\prime })$
• Theory of CP Violation
• Sum rules for B-->pi eta('), K eta('), eta(') eta(') decays
• Lattice QCD and heavy quarks