‘‘Nonfactorizable’’ terms in hadronic<i>B</i>-meson weak decays

We present a detailed study of non-leptonic two-body decays of B mesons based on a generalized factorization hypothesis. We discuss the structure of non-factorizable corrections and present arguments in favour of a simple phenomenological description of their effects. To evaluate the relevant transition form factors in the factorized decay amplitudes, we use information extracted from semileptonic decays and incorporate constraints imposed by heavy-quark symmetry. We discuss tests of the factorization hypothesis and show how unknown decay constants may be determined from non-leptonic decays. In particular, we find fD s = (234 ± 25) MeV and f D * s = (271 ± 33) MeV. We present a detailed study of non-leptonic two-body decays of B mesons based on a generalized factorization hypothesis. We discuss the structure of non-factorizable corrections and present arguments in favour of a simple phenomenological description of their effects. To evaluate the relevant transition form factors in the factorized decay amplitudes, we use information extracted from semileptonic decays and incorporate constraints imposed by heavy-quark symmetry. We discuss tests of the factorization hypothesis and show how unknown decay constants may be determined from non-leptonic decays. In particular, we find f Ds = (234 ± 25) MeV and f D * s = (271 ± 33) MeV.

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“…In both cases, (60) and (61), the data support the theoretical expectation that a eff 1 is close to unity [see (25)]. …”

Section: Transition Form Factorssupporting

confidence: 76%

Non-Leptonic Weak Decays of B Mesons

1998

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“…The simplest case is two-body nonleptonic B meson decays, for which Bauer, Stech and Wirbel (BSW) proposed the naive factorization assumption (FA) in their pioneering work [1]. Considerable progress, including generalized FA [2,3,4] and QCD-improved FA (QCDF) [5], has been made since this proposal. On the other hand, technique to analyze hard exclusive hadronic scattering was developed by Brodsky and Lepage [6] based on collinear factorization theorem in perturbative QCD (PQCD).…”

Section: Introductionmentioning

confidence: 99%

Nonfactorizable contributions toB→D(*)Mdecays

et al. 2004

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While the naive factorization assumption works well for many two-body nonleptonic B meson decay modes, the recent measurement ofB → D ( * )0 M 0 with M = π, ρ and ω shows large deviation from this assumption. We analyze the B → D ( * ) M decays in the perturbative QCD approach based on k T factorization theorem, in which both factorizable and nonfactorizable contributions can be calculated in the same framework. Our predictions for the Bauer-Stech-Wirbel parameters, |a 2 /a 1 | = 0.43± 0.04 and Arg(a 2 /a 1 ) ∼ −42 • and |a 2 /a 1 | = 0.47 ± 0.05 and Arg(a 2 /a 1 ) ∼ −41 • , are consistent with the observed B → Dπ and B → D * π branching ratios, respectively. It is found that the large magnitude |a 2 | and the large relative phase between a 2 and a 1 come from color-suppressed nonfactorizable amplitudes. Our predictions for theB 0 → D * 0 ρ 0 , D * 0 ω branching ratios can be confronted with future experimental data.

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“…Analogously, to cancel the scheme and scale dependence of the annihilation contractions of penguin operators in the first line of the expression (13) for P 3 , one has to consider the CPA and DPA topologies that also contribute to P 3 . Finally, when considering the insertion of penguin operators in the CEA and DEA topologies (first line of the expression (14) for P 4 ), one has to introduce CPA and DPA Wick contractions to ensure the scheme and scale dependence of P 4 . Therefore, the Zweig-suppressed CPE , DPE , CEA, DEA, CPA, DPA, CPA and DPA topologies are all needed to obtain a complete scheme and scale independent result.…”

Section: Effective Parameters -Generalitiesmentioning

confidence: 99%

“…Two ways of remedying these difficulties have been suggested, which led to the concept of generalized factorization [10]- [14]. In the formulation due to Neubert and Stech [10], the µ-dependent parameters a 1,2 (µ) are replaced by the µ-and scheme-independent effective parameters a eff 1,2 .…”

Section: Introductionmentioning

confidence: 99%

Non-leptonic two-body B decays beyond factorization

2000

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We present a general scheme and scale independent parameterization of two-body non-leptonic B decay amplitudes which includes perturbative QCD corrections as well as final state interactions in a consistent way. This parameterization is based on the Next-to-Leading effective Hamiltonian for non-leptonic B decays and on Wick contractions in the matrix elements of the local operators. Using this parameterization, and making no dynamical assumption, we present a classification of two-body B decay channels in terms of the parameters entering in the decay amplitudes. This classification can be considered as the starting point for a model-independent analysis of non-leptonic B decays and of CP violating asymmetries. We also propose, on the basis of the large N expansion, a possible hierarchy among the different effective parameters. We discuss the strategy to extract the most important effective parameters from the experimental data. Finally, we establish a connection between our parameterization and the diagrammatic approach which is widely used in the literature.

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‘‘Nonfactorizable’’ terms in hadronicB-meson weak decays

Cited by 43 publications

References 21 publications

Non-Leptonic Weak Decays of B Mesons

Non-Leptonic Weak Decays of B Mesons

Nonfactorizable contributions toB→D(*)Mdecays

Non-leptonic two-body B decays beyond factorization

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