Asymptotics of QCD factorization in exclusive hadronic decays of B mesons
Feb, 200127 pages
Published in:
- Nucl.Phys.B 619 (2001) 538-564
e-Print:
- hep-ph/0102219 [hep-ph]
Report number:
- CLNS-01-1723
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Abstract: (Elsevier)
Using the renormalon calculus, we study the asymptotic behavior of the perturbative expansion of the hard-scattering kernels entering the QCD factorization formula for the nonleptonic weak decays B ̄ 0 →D (∗)+ M − , where M is a light meson. In the “large- β 0 limit”, the kernels are infrared finite and free of endpoint singularities to all orders of perturbation theory. The leading infrared renormalon singularity corresponding to a power correction of order Λ QCD / m b vanishes if the light meson has a symmetric light-cone distribution amplitude. We calculate the Borel transforms and the corresponding momentum distribution functions of the hard-scattering kernels, and resum the series of O ( β 0 n −1 α s n ) corrections to explore the numerical significance of higher-order perturbative and power corrections. We also derive explicit expressions for the O(β 0 α s 2 ) contributions to the kernels, and for the renormalon singularities corresponding to power corrections of order ( Λ QCD / m b ) 2 . Finally, we study the limit m c →0 relevant to charmless hadronic decays such as B → ππ .Note:
- 27 pages, 4 figures
- B: hadronic decay
- anti-B0: hadronic decay
- final state: two-particle
- quantum chromodynamics: factorization
- perturbation theory: asymptotic behavior
- renormalization: renormalon
- infrared problem
- Borel transformation
- correction: nonperturbative
- numerical calculations
References(46)
Figures(4)