Subleading collinear operators and their matrix elements

Abstract

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. Reparametrization 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.

28 pages, 1 figure, axodraw.sty required, few typos corrected

References in corpus (24)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Asymptotic expansion of Feynman integrals near threshold
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Invariant Operators in Collinear Effective Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Twist-4 Distributions and Meson Mass Corrections
• Factorization and Endpoint Singularities in Heavy-to-Light decays
• Reparameterization Invariance for Collinear Operators
• Collinear effective theory at subleading order and its application to heavy-light currents
• Spectator Interactions in Soft-Collinear Effective Theory
• Factorization in leptonic radiative B -> gamma eνdecays
• Factorization and Sudakov Resummation in Leptonic Radiative B Decay
• Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l
• A Complete Basis for Power Suppressed Collinear-Ultrasoft Operators
• On Power Suppressed Operators and Gauge Invariance in SCET
• Perturbative QCD factorization of $\pi {\gamma }^{\ast }\to \gamma (\pi )$ and $B\to \gamma (\pi )l\bar{\nu }$
• Long-distance effects in $B\to V\gamma$ radiative weak decays
• Wandzura-Wilczek approximation from generalized rotational invariance
• Conformal symmetry on the light cone and nonleading twist distribution amplitudes of massive vector meson

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• Shape and soft functions of HQET and SCET in the 't Hooft Model
• The phenomenology of rare and semileptonic B decays
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