Model independent sum rules for B-> pi K decays

Abstract

We provide a set of sum rules relating CP-averaged branching ratios and CP-asymmetries of the $B\to \pi K$ modes. They prove to be useful as a mechanism to `test' experimental data given our expectations of the size of isospin breaking. A set of observables emerges providing a simpler interpretation of data in terms of isospin breaking. Moreover, the derivation is done in a completely model independent way, i.e., they can accommodate also New Physics contributions.

17 pages, 9 figures

Cited by in corpus (26)

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• The B -> pi K Puzzle and its Relation to Rare B and K Decays
• Rates and Asymmetries in $B\to K\pi$ Decays
• Exploring CP Violation through Correlations in B --> pi K, B_d --> pi^+pi^-, B_s --> K^+K^- Observable Space
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• Branching Fractions and CP Asymmetries in B0 -> pi0pi0, B+ -> pi+pi0 and B+ -> K+pi0 Decays and Isospin Analysis of the B -> pipi System
• Shedding Light on the "Dark Side" of $B_d^0$--${\bar{B}}_d^0$ Mixing through $B_d\to {\pi }^{+}{\pi }^{-}$, $K\to \pi \nu \bar{\nu }$ and $B_{d,s}\to {\mu }^{+}{\mu }^{-}$
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• B_s^0-\bar{B}_s^0 mixing and B -> πK decays in stringy leptophobic Z^\prime
• Suppression of flavor symmetry breaking in B decay sum rules
• Bs-->K+K- and Bs-->K0 anti-K0 Decays within Supersymmetry
• Status of SM calculations of b > s transitions
• Supersymmetric Contributions to Bs->K+K-
• Bd^0(t)->pi^+pi^- and Bs^0(t)-> K^+ K^- Decays: A Tool to Measure New-Physics Parameters
• U-Spin Tests of the Standard Model and New Physics
• Isospin of new physics in $|\Delta S|=1$ charmless B decays
• Rare Decays as a Probe for New Physics
• New Physics Search in Flavour Physics
• Status and Prospects of CKM Phase Determinations
• Impact of B physics on model building and vice versa: an example
• Exploring CP Violation through B Decays
• Sum rules for B-->pi eta('), K eta('), eta(') eta(') decays