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Flavour SU(3) Symmetry in Charmless B Decays

Alexander Khodjamirian·Thomas Mannel·Martin Melcher
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Abstract

QCD sum rules are used to estimate the flavour SU(3)-symmetry violation in two-body B decays to pions and kaons. In the factorizable amplitudes the SU(3)-violation manifests itself in the ratio of the decay constants f_K/f_pi and in the differences between the B->K, B_s->K and B->pi form factors. These effects are calculated from the QCD two-point and light-cone sum rules, respectively, in terms of the strange quark mass and the ratio of the strange and nonstrange quark-condensate densities. Importantly, QCD sum rules predict that SU(3) breaking in the heavy-to-light form factors can be substantial and does not vanish in the heavy-quark mass limit. Furthermore, we investigate the strange-quark mass dependence of nonfactorizable effects in the B->K pi decay amplitudes. Taking into account these effects we estimate the accuracy of several SU(3)-symmetry relations between charmless B-decay amplitudes.

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Alexander Khodjamirian, Thomas Mannel, Martin Melcher. 2003-11-27. Flavour SU(3) Symmetry in Charmless B Decays. https://doi.org/10.1103/physrevd.68.114007

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