An analysis of B -> eta '; K decays using a global fit in QCD factorization
European Physical Journal C, 2004, 37(3): 273-284.
In the framework of QCD factorization, we study B (0) --> eta';K (0) decays. In order to more reliably determine the phenomenological parameters X-H and X-A arising from end-point divergences in the hard spectator scattering and weak annihilation contributions, we use the global analysis for twelve B --> PP and VP decay modes, such as B --> pipi, piK, rhopi, rhoK, et cetera, but excluding the modes whose (dominant) internal quark-level process is b --> s(s) over bar s. Based on the global analysis, we critically investigate possible magnitudes of X-H,X-A and find that both large and small X-H,X-A terms are allowed by the global fit. In the case of the large X-H,X-A effects, the standard model (SM) prediction of the branching ratios (BRs) for B (0) --> eta';K (0) is large and well consistent with the experimental results. In contrast, in the case of the small X-H,X-A effects, the SM prediction for these BRs is smaller than the experimental data. Motivated by the recent Belle measurement of sin(2phi(1)) through B-0 --> phiK(s), if we take into account possible new physics effects on the quark-level process b --> s(s) over bar s, we can explicitly show that these large BRs can be understood even in the small X-H,X-A case. Specifically, we present two new physics scenarios: R-parity violating SUSY and R-parity conserving SUSY.