Flavour SU(3) Symmetry in Charmless B Decays
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.
Cite
@article{arxiv.hep-ph/0308297,
title = {Flavour SU(3) Symmetry in Charmless B Decays},
author = {Alexander Khodjamirian and Thomas Mannel and Martin Melcher},
journal= {arXiv preprint arXiv:hep-ph/0308297},
year = {2009}
}
Comments
Two references added, version to be published in Phys.Rev.D, 21 pages, 12 postscript figures