Power corrections in e+ e- --> pi+ pi-, K+ K- and B --> K pi, pi pi

Abstract

CLEO-c measurements of the timelike form factors F_pi, F_K at \sqrt{s}=3.671 GeV provide a direct probe of power corrections (PC's) at energies near m_B. PC's in F_pi, F_K and B \to K pi, pi pi are separated into perturbative and soft parts. In F_pi, F_K the latter are \ge O(10) larger. A PC fit to the B \to K pi, pi pi data also yields a \ge O(10) soft-to-perturbative hierarchy for the QCD penguin PC's. Hence, both can be attributed to dominance of the soft-ovelap between energetic (approximately) back-to-back collinear partons, and consistency of the B\to K pi, pi pi fit with the Standard Model appears to be naturally realized. The CP asymmetries S_{K_s pi^0}, C_{K_s pi^0} are well determined, providing a clean test for new physics.

4 pages, 4 figures, version published in Eur. Phys. J. C; elaborated on the connection between power corrections in e+e- ->M1 M2 and the B-> M1 M2 QCD penguin amplitudes; removed speculation that soft-overlaps are much larger for PP than for VP and VV final states, this is not supported by a new analysis in preparation

References in corpus (5)

• Spectator scattering at NLO in non-leptonic B decays: Leading penguin amplitudes
• Flavor SU(3) analysis of charmless B meson decays to two pseudoscalar mesons
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Cited by in corpus (14)

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• Branching ratios and direct CP asymmetries in $D\to PV$ decays
• Possible resolution of the B -> pi pi, pi K puzzles
• CP violation in the B system
• Glauber gluons in spectator amplitudes for $B\to \pi M$ decays
• Searching for New Physics with bbar -> sbar Bs -> V_1 V_2 Penguin Decays
• Resolving the $B\to K\pi$ puzzle by Glauber-gluon effects
• Transverse-momentum-dependent wave functions with Glauber gluons in $B\to \pi \pi$, $\rho \rho$ decays
• Like-sign dimuon charge asymmetry in Randall-Sundurm model
• Right-handed current contributions in B -> K pi decays
• An analysis of B meson decays to two light pseudoscalar nonets with deltaS=1 in QCD factorization approach
• Glauber gluons in annihilation amplitudes for heavy meson decays