SU(3) analysis of nonfactorizable contributions to bottom mesons decays

Abstract: This paper is the extension of our previous work [arXiv:2108.03296] entitled Searching a systematics for nonfactorizable contributions to B hadronic decays. In order to realize the full impact of isospin analysis, and to relate decays of strange bottom meson with those of nonstrange bottom mesons, we generalize it to the SU(3) flavor symmetry to investigate the nonfactorizable contributions to CKM-enhanced and CKM-suppressed decays. We start with expressing total weak decay amplitude as sum of the factorizable and nonfactorizable parts, then obtain the factorizable part of the decay amplitude numerically using the known meson decay constants and relevant form-factors, then express the nonfactorizable parts in terms of SU(3)-reduced matrix elements. Using measured branching fractions of a few CKM-favored modes, we fix the reduced matrix elements, and predict branching ratios of the remaining CKM-favored decays and all CKM-suppressed B to PP decays processes.We find that the measured branching fractions agree well with our results, and other predicted values may be tested in the future experiments.