Threshold resummation for nonleptonic B meson decays

Li, Hsiang-nan; Ukai, Kazumasa

doi:10.1016/s0370-2693(03)00049-2

Cited by 111 publications

(85 citation statements)

References 44 publications

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“…In the nonfactorizable contributions, due to the small numerical effect, we drop the jet function in the nonfactorizable emission diagrams and nonfactorizable annihilation diagrams [59].…”

Section: Discussionmentioning

confidence: 99%

Improved estimates of theB(s)→VVdecays in perturbative QCD approach

et al. 2015

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We reexamine the branching ratios, CP -asymmetries, and other observables in a large number of B q → V V (q = u, d, s) decays in the perturbative QCD (PQCD) approach, where V denotes a light vector meson (ρ, K * , ω, φ). The essential difference between this work and the earlier similar works is of parametric origin and in the estimates of the power corrections related to the ratio) (m V and m B denote the masses of the vector and B meson, respectively). In particular, we use up-to-date distribution amplitudes for the final state mesons and keep the terms proportional to the ratio r 2 i in our calculations. Our updated calculations are in agreement with the experimental data, except for a limited number of decays which we discuss. We emphasize that the penguin annihilation and the hard-scattering emission contributions are essential to understand the polarization anomaly, such as in the B → φK * and B s → φφ decay modes. We also compare our results with those obtained in the QCD factorization (QCDF) approach and comment on the similarities and differences, which can be used to discriminate between these approaches in future experiments.

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“…In the nonfactorizable contributions, due to the small numerical effect, we drop the jet function in the nonfactorizable emission diagrams and nonfactorizable annihilation diagrams [59].…”

Section: Discussionmentioning

confidence: 99%

Improved estimates of theB(s)→VVdecays in perturbative QCD approach

et al. 2015

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“…The jet function decreases faster than any power of x as x → 0, thus it kills the endpoint singularity effectively. The jet function has been parametrized in a form which is independent of the decay channels, twists and flavors [14].…”

Section: Conventions and Inputsmentioning

confidence: 99%

B→Stransition form factors in the perturbative QCD approach

et al. 2009

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Under two different scenarios for the light scalar mesons, we investigate the transition form factors of B(B s ) mesons decay into a scalar meson in the perturbative QCD approach. In the large recoiling region, the form factors are dominated by the short-distance dynamics and can be calculated using perturbation theory. We adopt the dipole parametrization to recast the q 2 dependence of the form factors. Since the decay constants defined by the scalar current are large, our predictions on the B → S form factors are much larger than the B → P transitions, especially in the second scenario. Contributions from various light-cone distribution amplitudes (LCDAs) are elaborated and we find that the twist-3 LCDAs provide more than a half contributions to the form factors. The two terms of the twist-2 LCDAs give destructive contributions in the first scenario while they give constructive contributions in the second scenario. With the form factors, we also predict the decay width and branching ratios of the semileptonic B → Slν and B → Sl + l − decays. The branching ratios of B → Slν channels are found to have the order of 10 −4 while those of B → Sl + l − have the order of 10 −7 . These predictions can be tested by the future experiments.

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“…where the so called Sudakov factor s(Q, b) resulting from the resummation of double logarithms is given as [23,24] s(Q, b) = …”

Section: Appendix A: Formulas For the Calculations Used In The Textmentioning

confidence: 99%