Factorization and nonfactorization inBdecays

Abstract

Using NLL values for Wilson coefficients and including the contributions from the penguin diagrams, we estimate the amount of nonfactorization in two-body hadronic B decays. Also, we investigate the model dependence of the nonfactorization parameters by performing the calculation using different models for the form factors. The results support the universality of nonfactorizable contributions in both Cabibbo-favored and Cabibbo-suppressed B decays.13.25.Hw, 14.40.Nd

QCD factorization for exclusive non-leptonic B-meson decays: general arguments and the case of heavy–light final states

“…) is related to a non-factorizable colour-octet matrix element of order 1/N c , which in general is a process-dependent quantity [46,47,48,49]. In the next step, the colour-transparency argument [11] was invoked to argue that for renormalization scales of order m b the process dependence of this matrix element is expected to be a small effect [26].…”

“…The parameters a 1 and a 2 , however, are physical by definition. In many recent phenomenological analyses based on generalized factorization the authors have tried to avoid the problems of renormalization-group dependence of the Wilson coefficients by using so-called "effective, scheme-independent Wilson coefficients" C eff i [53,45,50,51,49]. These coefficients are related to the original ones by an equation of the form…”

Flat Currents of Green—Schwarz Superstring in AdS 3 × S 3 under Symmetry Transformations

“…The Green-Schwarz superstring in 𝐴𝑑𝑆 3 ×𝑆 3 background can be defined as a nonlinear sigma model on the coset superspace [12,13] 𝑃 𝑆𝑈 (1,1|2) 2 𝑆𝑂(1,2)×𝑆𝑂(3) , whose bosonic part is 𝑆𝑂(2,2)×𝑆𝑂 (4) 𝑆𝑂(1,2)×𝑆𝑂 (3) . The classical action has the Wess-Zumino-Witten form…”

“…We then express (12) as a linear combination of 𝜅 1 , κ1 , 𝜅 2 , κ2 with coefficients as functions of 𝐿 𝐼 , L𝐼 and 𝐿 â. Because of the tensor property of these coefficients, we can check the equivalence of the resulting equation in a standard gauge for which we set…”