Possible resolution of the B ---> pi pi, pi K puzzles
Jan, 2009
4 pages
Published in:
- Phys.Rev.D 83 (2011) 034023
e-Print:
- 0901.1272 [hep-ph]
Report number:
- DESY-09-013
View in:
Citations per year
Abstract: (arXiv)
We show that there exist uncanceled soft divergences in the k_T factorization for nonfactorizable amplitudes of two-body nonleptonic B meson decays, similar to those identified in hadron hadroproduction. These divergences can be grouped into a soft factor using the eikonal approximation, which is then treated as an additional nonperturbative input in the perturbative QCD formalism. Viewing the special role of the pion as a q-qbar bound state and as a pseudo Nambu-Goldstone boson, we postulate that the soft effect associated with it is significant. This soft factor enhances the nonfactorizable color-suppressed tree amplitudes, such that the branching ratios B(pi^0 pi^0) and B(pi^0 rho^0) are increased under the constraint of the B(rho^0 rho^0) data, the difference between the direct CP asymmetries A_{CP}(pi^\mp K^\pm) and A_{CP}(pi^0 K^\pm) is enlarged, and the mixing-induced CP asymmetry S_{pi^0 K_S} is reduced. Namely, the known pi pi and pi K puzzles can be resolved simultaneously.- 12.38.Bx
- 12.39.St
- 13.25.Hw
- asymmetry: CP
- B: branching ratio
- B: hadronic decay
- Goldstone particle
- transverse momentum: factorization
- quantum chromodynamics
- perturbation theory: higher-order
References(54)
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