Light-cone sum rules in soft-collinear effective theory

Abstract

We derive light-cone sum rules (LCSRs) for exclusive B-meson decays into light energetic hadrons from correlation functions within soft-collinear effective theory (SCET). In these sum rules the short-distance scale refers to ``hard-collinear'' interactions with virtualities of order (Lambda_{QCD}*m_b). Hard scales (related to virtualities of order m_b^2) are integrated out and enter via external coefficient functions in the sum rule. Soft dynamics is encoded in light-cone distribution amplitudes for the B-meson, which describe both the factorizable and non-factorizable contributions to exclusive B-meson decay amplitudes. As an example, we provide a detailed study of the SCET sum rule for the B -> pi transition form factor at large recoil, including radiative corrections from hard-collinear loop diagrams at first order in the strong coupling constant. We find remarkable conceptual and numerical differences with the heavy-quark limit of the conventional LCSR approach in QCD.

34 pages, 9 figures, erratum added

References in corpus (7)

• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• Non-factorizable Contributions to $B\to \pi \pi$ Decays
• $B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
• SCET sum rules for B->P and B->V transition form factors
• Loop Corrections to Heavy-to-Light Form Factors and Evanescent Operators in SCET
• Heavy Quarks on the Lattice
• Status of Lattice Flavor Physics

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