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New Bound on gamma from B^+- -> pi K Decays
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New Bound on gamma from B^+- -> pi K Decays
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A bound on the angle gamma of the unitarity triangle is derived using experimental information on the CP-averaged branching ratios for the rare decays B^+- -> pi^+- K^0 and B^+- -> pi^0 K^+-. The theoretical description is cleaner than the Fleischer-Mannel analysis of the decays B^+- -> pi^+- K^0 and B^0 -> pi^-+ K^+- in that the two decay rates differ only in a single isospin amplitude, which has a simple structure in the SU(3) limit. As a consequence, electroweak penguin contributions and strong rescattering effects can be taken into account in a model-independent way. The resulting bound excludes values of cos(gamma) around 0.6 and is thus largely complementary to indirect constraints derived from a global analysis of the unitarity triangle.
Forward citations
Cited by 4 Pith papers
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Isospin-based EWP-tree Relations
Derives SU(2)_I-based EWP-tree relations for B→PP decays that match SU(3)_F in ΔS=0 but differ in ΔS=1, producing a 4-5σ SM discrepancy in the B→πK puzzle.
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QCD-factorization amplitudes from flavour symmetries: beyond the $SU(3)$ symmetric case
A data-driven SU(3)-breaking analysis of B to PP decays yields QCD-factorization amplitudes that resemble dynamical predictions and require no enhanced annihilation terms.
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CP asymmetries in charged meson decay to two pions
CP asymmetries for B+ to pi+ pi0, D+ to pi+ pi0, and K+ to pi+ pi0 are estimated in the Standard Model at roughly 3 times 10 to the -3, 10 to the -5, and 10 to the -6 using a unified formalism for isospin violation.
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Comment on "QCD-factorization amplitudes from flavour symmetries: beyond the $SU(3)$ symmetric case''
The authors argue that ETRs follow automatically from SU(3) group theory and identify weaknesses in a recent QCD-factorization fit that omitted them.
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