Suppression of flavor symmetry breaking in B decay sum rules

Abstract

While flavor symmetries are useful for studying hadronic B decays, symmetry relations for amplitudes and decay rates are usually violated by first order symmetry breaking corrections. We point out two cases in which first order symmetry breaking is suppressed by a small ratio of amplitudes: (1) An isospin sum rule for four $B\to K\pi$ decays, where isospin breaking is shown to be negligible. (2) An SU(3) sum rule for pairs of $B\to K\pi$ and $B\to K{\eta }_8$, generalized to pairs of $B\to K\pi ,B\to K\eta$ and $B\to K{\eta }^{\prime }$.

arXiv comment11 pages, small corrections, one reference added, submitted to Physics Letters B

References in corpus (33)

• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• QCD factorization for B->PP and B->PV decays
• Decays of $B$ Mesons to Two Light Pseudoscalars
• B -> M1 M2: Factorization, Charming Penguins, Strong Phases, and Polarization
• ELECTROWEAK PENGUINS AND TWO-BODY B DECAYS
• Weak Coupling Phase from Decays of Charged B Mesons to $\pi K$ and $\pi \pi$
• Charmless $B\to PP$ decays using flavor SU(3) symmetry
• Broken SU(3) Symmetry in Two-Body B Decays
• New Bound on gamma from B^+- -> pi K Decays
• Constraining the CKM angle $\gamma$ and penguin contributions through combined $B\to \pi K$ branching ratios
• Two body B decays with isosinglet final states in SCET
• Study of the eta-eta' system in the two mixing angle scheme
• Model-independent electroweak penguins in B decays to two pseudoscalars
• Model-Independent Analysis of B -> pi K Decays and Bounds on the Weak Phase gamma
• Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates
• Combining CP Asymmetries in $B\to K\pi$ Decays
• Rates and Asymmetries in $B\to K\pi$ Decays
• Amplitude relations for $B$ decays involving $\eta$ and ${\eta }^{\prime }$
• Isospin-breaking effects on alpha extracted in B --> pi pi, rho rho, rho pi
• SU(3) Decomposition of Two-Body B Decay Amplitudes
• Two-Body Charmless B Decays Involving eta and eta'
• A useful approximate isospin equality for charmless strange B Decays
• Determining the Weak Phase $\gamma$ From Charged $B$ Decays
• SCET Analysis of B -> K pi, B -> K Kbar, and B -> pi pi Decays
• How Isospin Violation Mocks ``New'' Physics: ${\pi }^0-\eta ,{\eta }^{\prime }$ Mixing in $B\to \pi \pi$ Decays
• Implications of CP Asymmetries in $B\to {\pi }^{+}{\pi }^{-}$
• Model independent sum rules for B-> pi K decays
• On measuring alpha in B(t)-> rho^\pm pi^\mp
• Towards a Precision Determination of alpha in B \to pi pi Decays
• Determination of CKM phases through rigid polygons of flavor SU(3) amplitudes
• Graphical amplitudes from SCET
• Improved Measurements of Branching Fractions and CP Asymmetries in B-> eta h Decays
• Using SU(3) Flavor to Constrain the CP Asymmetries in $B\to PP,VP,VV$ Decays involving $b\to s$ Transitions

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