Suppression of flavor symmetry breaking in B decay sum rules

Details Suppression of flavor symmetry breaking in B decay sum rules Suppression of flavor symmetry breaking in B decay sum rules

2006-01-17

arxiv.org/abs/hep-ph/0601129v2

Phys.Lett.B635:207-212,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.physletb.2006.02.066

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 $B\to K\eta'$.

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