Institute for Theoretical Particle Physics (TTP)

TTP03-18 Flavour SU(3) Symmetry in Charmless $B$ Decays

TTP03-18 Flavour SU(3) Symmetry in Charmless $B$ Decays

TTP03-18 Flavour SU(3) Symmetry in Charmless $B$ Decays

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.

Alexander Khodjamirian, Thomas Mannel, Martin Melcher …
Phys.Rev. D68 114007 2003
PDF PostScript arXiv
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