Nonfactorizable soft gluons in nonleptonic heavy meson decays
نویسنده
چکیده
We include nonfactorizable soft gluon corrections into the perturbative QCD formalism for exclusive nonleptonic heavy meson decays, which combines factorization theorems and effective field theory. These corrections are classified according to their color structures, and exponentiated separately to complete the Sudakov resummation up to next-to-leading logarithms. The nonfactorizable contributions in nonleptonic decays are clearly identified in our formalism, and found to be positive for bottom decays and negative for charm decays. Our analysis confirms that the large-Nc approximaton is applicable to charm decays, but not to bottom decays, consistent with the phenomenological implications of experimental data. The comparision of our predictions with those from QCD sum rules is also made.
منابع مشابه
Problems of QCD factorization in exclusive decays of B meson to charmonium
We study the exclusive decays of B meson into P-wave charmonium states χcJ(J = 0, 1) within QCD factorization approach and find that for B → χc1K decay, the factorization breaks down due to logarithmic divergences arising from nonfactorizable spectator interactions even at twist-2 order, and the decay rate is too small to accommodate the data, and that for B → χc0K decay, there are infrared div...
متن کاملTest of Factorization Hypothesis from Exclusive Non-leptonic B-Decays
We investigated the possibility of testing factorization hypothesis in nonleptonic exclusive decays of B-meson. In particular, we considered the nonfactorizable B 0 → D(∗)+D s modes and B → D(∗)+(π−, ρ) known as well-factorizable modes. By taking the ratios B(B → D(∗)+D s )/B(B → D(∗)+(π−, ρ)), we found that under the present theoretical and experimental uncertainties there’s no evidence for th...
متن کاملNonfactorizable Contributions to Hadronic Matrix Elements by Use of Twist Wave Functions
A general approach for evaluating the nonfactorizable contributions to the hadronic matrix elements is described in terms of the higher twist wave functions of the mesons. An example is illustrated for the B → ππ decays. Supported in part by the US Department of Energy under contract DOE/ER/01545. The factorization approximation has conventionaly been used to describe the two-body nonleptonic d...
متن کاملNonfactorizable Contributions to Nonleptonic Weak Decays of Heavy Mesons
Nonfactorizable contributions to exclusive two-body nonleptonic weak decays of heavy mesons arising from color octet currents, characterized by the parameter r2, are extracted from the data. It is found that r2 is equal to ∼ −0.67 , −(0.9 ∼ 1.1), − (1.2 ∼ 1.3), ∼ 0.36 respectively for D → K̄π, K̄π, K̄ρ, B̄ → Dπ decays. As expected, soft-gluon effects become stronger when the decay particles are les...
متن کاملNonleptonic B decays into two light mesons in soft-collinear effective theory
We consider nonleptonic B decays into two light mesons at leading order in softcollinear effective theory, and show that the decay amplitudes are factorized to all orders in αs. The operators for nonleptonic B decays in the full theory are first matched to the operators in SCETI, which is the effective theory appropriate for √ mbΛ < μ < mb with Λ ∼ 0.5 GeV. We evolve the operators and the relev...
متن کامل