Three-particle contributions to the renormalisation of B-meson light-cone distribution amplitudes

Abstract

We study light-cone distribution amplitudes of heavy-light systems, such as a B-meson. By an explicit computation, we determine how two-parton distribution amplitudes mix with three-parton ones at one loop: ϕ_+ is shown to mix only into itself, whereas ϕ_- mixes with the difference of three-parton distribution amplitudes Ψ_A-Ψ_V. We determine the corresponding anomalous dimension and we check the gauge independence of our result by considering a general covariant gauge. Finally, we comment on some implications of our result for phenomenological models of these distribution amplitudes.

arXiv comment21 pages, 5 figures, some comments and 2 references added, except for typesetting matches version published in JHEP

References in corpus (33)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• 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
• Systematic approach to exclusive B ->V l^+l^-, V gamma decays
• A Comparative Study of the Decays $B\to (K,K^{\ast }){\ell }^{+}{\ell }^{-}$ in Standard Model and Supersymmetric Theories
• Asymptotics of Heavy-Meson Form Factors
• The Uses of Conformal Symmetry in QCD
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• The B-Meson Distribution Amplitude in QCD
• Factorization of heavy-to-light form factors in soft-collinear effective theory
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• B meson light-cone distribution amplitudes in the heavy-quark limit
• Model-Independent Properties of the B-Meson Distribution Amplitude
• Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l
• $B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
• Short Distance Coefficients and the Vanishing of the Lepton Asymmetry in $B\to V{\ell }^{+}{\ell }^{-}$
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• B->gamma e nu Transitions from QCD Sum Rules
• Light-cone sum rules in soft-collinear effective theory
• SCET sum rules for B->P and B->V transition form factors
• B-Meson Wavefunction with Contributions from 3-particle Fock States
• Operator product expansion for B-meson distribution amplitude and dimension-5 HQET operators
• B-Meson Distribution Amplitudes of Geometric Twist vs. Dynamical Twist
• B-meson distribution amplitudes
• Universality of nonperturbative QCD effects in radiative B-decays
• Spectator interactions in B -> V gamma decays and QCD factorisation
• Heavy Meson Distribution Amplitudes of Definite Geometric Twist with Contribution of 3-Particle Distribution Amplitudes
• Spectator interactions and factorization in B -> pi ell nu decay

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• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• Perturbative corrections to $B\to D$ form factors in QCD
• Analyses of decay constants and light-cone distribution amplitudes for s-wave heavy meson
• Light-Cone Sum Rules for $B\to K\pi$ Form Factors and Applications to Rare Decays
• B-Meson Light-Cone Distribution Amplitude: Perturbative Constraints and Asymptotic Behaviour in Dual Space
• The NLO twist-3 contributions to $B\to \pi$ form factors in $k_T$ factorization
• Precision calculations of $B_{d,s}\to \pi ,K$ decay form factors in soft-collinear effective theory
• Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
• Renormalisation of heavy-light light ray operators
• Systematic Parametrization of the Leading $B$-meson Light-Cone Distribution Amplitude
• Evolution equation for the B-meson distribution amplitude in the heavy-quark effective theory in coordinate space