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Subleading collinear operators and their matrix elements. (English) Zbl 1045.81567
Summary: We discuss the most general form of the leading power suppressed collinear operators in the soft-collinear effective theory. Such operators appear in the description of power corrections to exclusive heavy flavor decays into energetic light hadrons. Reparameterization invariance in the SCET provides powerful constraints on the Wilson coefficients of the subleading collinear operators. We present explicit results for the matrix elements of these operators on pseudoscalar and vector mesons, which are expressed in terms of twist-2 and twist-3 light-cone wave functions. We consistently include the effects of three-particle light-cone distribution amplitudes and find that their impact could be of phenomenological relevance.
MSC:
81V35 Nuclear physics
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
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