Flavor-Singlet B-Decay Amplitudes in QCD Factorization

Exclusive hadronic B-meson decays into two-body final states consisting of a light pseudoscalar or vector meson along with an eta or eta' meson are of great phenomenological interest. Their theoretical analysis involves decay mechanisms that are unique to flavor-singlet states, such as their coupling to gluons or their ``intrinsic charm'' content. These issues are studied systematically in the context of QCD factorization and the heavy-quark expansion. Theory can account for the experimental data on the B->K^{(*)} eta^{(')} branching fractions, albeit within large uncertainties.Comment: 25 pages, 5 figure

QCD factorization for B->PP and B->PV decays

A comprehensive study of exclusive hadronic B-meson decays into final states containing two pseudoscalar mesons (PP) or a pseudoscalar and a vector meson (PV) is presented. The decay amplitudes are calculated at leading power in Lambda_{QCD}/m_b and at next-to-leading order in alpha_s using the QCD factorization approach. The calculation of the relevant hard-scattering kernels is completed. Important classes of power corrections, including ``chirally-enhanced'' terms and weak annihilation contributions, are estimated and included in the phenomenological analysis. Predictions are presented for the branching ratios of the complete set of the 96 decays of B^-, B^0, and B_s mesons into PP and PV final states, and for most of the corresponding CP asymmetries. Several decays and observables of particular phenomenological interest are discussed in detail, including the magnitudes of the penguin amplitudes in PP and PV final states, an analysis of the pi-rho system, and the time-dependent CP asymmetry in the K phi and K eta' final states.Comment: 92 pages, 13 figures, 28 tables; typos and errors in data tables corrected; version to appear in Nuclear Physics

alpha_s and the tau hadronic width: fixed-order, contour-improved and higher-order perturbation theory

The determination of $\alpha_s$ from hadronic $\tau$ decays is revisited, with a special emphasis on the question of higher-order perturbative corrections and different possibilities of resumming the perturbative series with the renormalisation group: fixed-order (FOPT) vs. contour-improved perturbation theory (CIPT). The difference between these approaches has evolved into a systematic effect that does not go away as higher orders in the perturbative expansion are added. We attempt to clarify under which circumstances one or the other approach provides a better approximation to the true result. To this end, we propose to describe the Adler function series by a model that includes the exactly known coefficients and theoretical constraints on the large-order behaviour originating from the operator product expansion and the renormalisation group. Within this framework we find that while CIPT is unable to account for the fully resummed series, FOPT smoothly approaches the Borel sum, before the expected divergent behaviour sets in at even higher orders. Employing FOPT up to the fifth order to determine $\alpha_s$ in the \MSb scheme, we obtain $\alpha_s(M_\tau)=0.320 {}^{+0.012}_{-0.007}$, corresponding to $\alpha_s(M_Z) = 0.1185 {}^{+0.0014}_{-0.0009}$. Improving this result by including yet higher orders from our model yields $\alpha_s(M_\tau)=0.316 \pm 0.006$, which after evolution leads to $\alpha_s(M_Z) = 0.1180 \pm 0.0008$. Our results are lower than previous values obtained from $\tau$ decays.Comment: 42 pages, 9 figures; appendix on Adler function in the complex plane added. Version to appear in JHE