Modelling light-cone distribution amplitudes from non-relativistic bound states

Abstract

We calculate light-cone distribution amplitudes for non-relativistic bound states, including radiative corrections from relativistic gluon exchange to first order in the strong coupling constant. We distinguish between bound states of quarks with equal (or similar) mass, m_1 ~ m_2, and between bound states where the quark masses are hierarchical, m_1 >> m_2. For both cases we calculate the distribution amplitudes at the non-relativistic scale and discuss the renormalization-group evolution for the leading-twist and 2-particle distributions. Our results apply to hard exclusive reactions with non-relativistic bound states in the QCD factorization approach like, for instance, (B_c -> eta_c l nu) or (e^+ e^- -> J/psi eta_c). They also serve as a toy model for light-cone distribution amplitudes of light mesons or heavy B and D mesons, for which certain model-independent properties can be derived. In particular, we calculate the anomalous dimension for the B meson distribution amplitude phi_B^-(w) in the Wandzura-Wilczek approximation and derive the according solution of the evolution equation at leading logarithmic accuracy.

27 pages, 15 figures, discussion around Eq.(83,84) extended

References in corpus (50)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Heavy Quark Symmetry
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• 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
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Asymptotics of Heavy-Meson Form Factors
• Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• Exclusive semileptonic and nonleptonic decays of the Bc meson
• The B-Meson Distribution Amplitude in QCD
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Weak decays of the B_c meson to charmonium and D mesons in the relativistic quark model
• Perturbative QCD Analysis of $B$ Meson Decays
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• Is the BELLE result for the cross section e+e- -> J/psi+eta_c a real difficulty for QCD ?
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• B meson light-cone distribution amplitudes in the heavy-quark limit
• The $\pi \gamma$ transition form factor and the pion wave function
• Unbiased analysis of CLEO data at NLO and pion distribution amplitude
• Perturbative Effects in the Form Factor γγ^*\to πand Extraction of the Pion Wave Function from CLEO Data
• Radiative Corrections to the Decay $B\to \pi e\nu$ and the Heavy Quark Limit
• Model-Independent Properties of the B-Meson Distribution Amplitude
• Kaon Distribution Amplitude from QCD Sum Rules
• $B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
• QCD factorization for B -> PP
• Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c
• QCD Radiative Corrections to the Leptonic Decay Rate of the B_c Meson
• Predictions for $e^{+}{e}^{-}\to J/\psi {\eta }_c$ with Light-Cone Wave-Functions
• Semileptonic $B_c$ decays and Charmonium distribution amplitude
• Light-cone sum rules in soft-collinear effective theory
• The study of leading twist light cone wave function of η_c meson
• SCET sum rules for B->P and B->V transition form factors
• The study of leading twist light cone wave functions of J/Psi meson
• On high $Q^2$ behavior of the pion form factor for transitions ${\gamma }^{\ast }\gamma \to {\pi }^0$ and ${\gamma }^{\ast }{\gamma }^{\ast }\to {\pi }^0$ within the nonlocal quark-pion model
• NRQCD Factorization for Twist-2 Light-Cone Wave-Functions of Charmonia
• Power Corrections in Charmless Nonleptonic B-Decays: Annihilation is Factorizable and Real
• A perturbative approach to the eta_c-gamma transition form factor
• Models for Light-Cone Meson Distribution Amplitudes
• Perturbative QCD analysis of exclusive J/ψ+η_c production in e^+e^- annihilation
• B-Meson Wavefunction with Contributions from 3-particle Fock States
• Higher order QCD corrections in exclusive charmless B decays
• B-meson distribution amplitudes
• The study of leading twist light cone wave functions of 2S state charmonium mesons
• Second moment of the pion's distribution amplitude
• Light-Cone Distribution Amplitudes for Non-Relativistic Bound States

Cited by in corpus (63)

• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• Form Factors for Lambda_b -> Lambda Transitions in SCET
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• Heavy quarkonium fragmentation functions from a heavy quark pair. I. $S$ wave
• Perturbative corrections to $B\to D$ form factors in QCD
• $B_c$ Exclusive Decays to Charmonium and a Light Meson at Next-to-Leading Order Accuracy
• S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach
• $B_c$ to P-Wave Charmonia Transitions in Covariant Light-Front Approach
• SCET sum rules for B->P and B->V transition form factors
• Parton Distribution Functions of Heavy Mesons on the Light Front
• Analyses of decay constants and light-cone distribution amplitudes for s-wave heavy meson
• 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
• Resummation of rapidity logarithms in $B$ meson wave functions
• Precision calculations of $B_{d,s}\to \pi ,K$ decay form factors in soft-collinear effective theory
• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• The leading twist light-cone distribution amplitudes for the S-wave and P-wave quarkonia and their applications in single quarkonium exclusive productions
• Refactorizing NRQCD short-distance coefficients in exclusive quarkonium production
• Factorization in exclusive quarkonium production
• Leading twist distribution amplitudes of P-wave nonrelativistic mesons
• The dipole picture and the non-relativistic expansion
• QCD factorization for the four-body leptonic $B$-meson decays
• Operator product expansion for B-meson distribution amplitude and dimension-5 HQET operators
• Relativistic corrections to light-cone distribution amplitudes of S-wave $B_c$ mesons and heavy quarkonia
• Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
• Improved perturbative QCD formalism for $B_c$ meson decays
• Double charmonium production at B-factories within light cone formalism
• Decay Constants and Distribution Amplitudes of B Meson in the Relativistic Potential Model
• Muon-electron backward scattering: a prime example for endpoint singularities in SCET
• Bridging light-cone and NRQCD approaches: asymptotic behavior of $B_c$ electromagnetic form factor
• Study of quark distribution amplitudes of 1S and 2S heavy quarkonium states
• Study of the pure annihilation $B_c\to A_2{A}_3$ decays
• Renormalisation of heavy-light light ray operators
• Light-cone distribution amplitudes of heavy mesons with QED effects
• Quasi Distribution Amplitude of Heavy Quarkonia
• Heavy and light meson wavefunctions
• Systematic Parametrization of the Leading $B$-meson Light-Cone Distribution Amplitude
• Three-particle contributions to the renormalisation of B-meson light-cone distribution amplitudes
• Study of Bc->KK decay with perturbative QCD approach
• Evolution equation for the B-meson distribution amplitude in the heavy-quark effective theory in coordinate space
• Pseudoscalar Quarkonium+gamma Production at NLL+NLO accuracy
• Study of $B_c\to DS$ Decays in PQCD Approach
• Power corrections to quasi-distribution amplitudes of a heavy meson
• Heavy Pseudoscalar Twist-3 Distribution Amplitudes within QCD Theory in Background Fields
• Heavy quark expansion for heavy-light light-cone operators
• A factorization theorem connecting the light-cone distribution amplitudes of heavy-flavor mesons in QCD and HQET
• The leading twist light-cone distribution amplitudes for the S-wave and P-wave Bc mesons
• Meson distribution amplitudes in holographic models
• Study of the $B_c$ $\to$ $B_s\pi$ decay with the perturbative QCD approach
• Rapidity resummation for $B$-meson wave functions
• Exclusive C=+ charmonium production in $e^{+}{e}^{-}\to H+\gamma$ at B-factories within light cone formalism
• Semileptonic Decay of $B_c$ to ${\eta }_c$ and $J/\psi$ on the Light Front
• $W$ radiative decay to heavy-light mesons in HQET factorization through $\mathcal{O}({\alpha }_s)$
• The two-body hadronic decays of $B_c$ meson in the perturbative QCD approach: A short review
• Renormalisation group evolution of the shape function $g_{17}$ in $\bar{B}\to X_s\gamma$ and $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$ at subleading power
• Exclusive production of $B_c$ mesons in $e^{+}{e}^{-}$ colliders
• Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework
• Mass of nonrelativistic meson from leading twist distribution amplitudes
• $B_c\to {\eta }_c$ form factors at large recoil: Interplay of soft-quark and soft-gluon dynamics
• $\mathcal{O}({\alpha }_s)$ corrections to $e^{+}{e}^{-}\to J/\psi +{\eta }_{c2}({\chi }_{c1}^{\prime })$ at $B$ factories
• ${\eta }_c$ leading-twist distribution amplitude and the $B_c\to {\eta }_c\ell {\bar{\nu }}_{\ell }$ semileptonic decays using QCD Sum Rules
• Properties of the quark-antiquark-gluon Fock state in the η_c meson
• Next-to-leading-order QCD calculations of $B\to A$ form factors with higher-twist corrections