Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions

Abstract

We present a systematic study of twist three light-cone distribution amplitudes of vector mesons in QCD, which is based on conformal expansion and takes into account meson and quark mass corrections. A complete set of distribution amplitudes is constructed for rho, omega, K* and phi mesons, which satisfies all (exact) equations of motion and constraints from conformal expansion. Nonperturbative input parameters are calculated from QCD sum rules, including an update of SU(3) breaking corrections in the leading twist distributions.

60 pages, Latex, 3 figures; some misprints corrected and a reference added, To appear in Nucl. Phys. B

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• $B_{(s)}\to {\eta }_c(P,V)$ decays and effects of the next-to-leading order contributions in the perturbative QCD approach
• Exclusive photoproduction of ${\eta }_c\gamma$ pairs with large invariant mass
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• Anatomy of $B_s\to PP$ decays and effects of the next-to-leading order contributions in the perturbative QCD approach
• Testing the dynamics of high energy scattering using vector meson production
• Branching Ratio and CP-asymmetry for B-> 1^{1}P_{1}gamma decays
• Chiral-odd pion generalized parton distributions beyond leading twist
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• Three body radiative decay $B_s\to \varphi {\bar{K}}^0\gamma$ in the PQCD approach
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• Higher Order Corrections to the Light-cone Distribution Amplitudes of the Sigma baryon
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• The next-to-leading order corrections to $B\to \rho$ transition in the $k_T$ factorization
• Construction of nonlocal light-cone operators with definite twist
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• The next-to-leading order corrections to rho meson electromagnetic form factors in the $k_T$ factorization approach
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• Exploring the exclusive decay $B^{+}\to \omega {\ell }^{+}\nu$ with light-cone sum rules
• Investigating the Effect of Family Non-universal $Z^{\prime }$ Boson in $B\to \varphi \varphi$ Decay
• Study of $B\to \rho \eta$, $\rho {\eta }^{\prime }$ decays in the modified perturbative QCD approach
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing
• From semi-hard processes to the unintegrated gluon distribution: a phenomenological path in the high-energy framework
• Charmless $B_c\to VV$ decays in the QCD factorization approach
• Study of the ${\bar{B}}_q^{\ast }$ $\to$ $DM$ decays with perturbative QCD approach
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules
• Charged and Neutral ${\bar{B}}_{u,d,s}\to \gamma$ Form Factors from Light Cone Sum Rules at NLO
• Off-shell photon distribution amplitudes in the low-energy effective theory of QCD
• Vector Mesons on the Light Front
• Strong and electromagnetic decays of the radially excited $D_s$ and $B_s$ mesons in light cone QCD sum rules
• Gravitational formfactors of the $\rho$ meson in QCD sum rules
• QCD calculations of radiative heavy meson decays with subleading power corrections
• Branching fraction, $CP$ asymmetry, and polarization in $B\to \rho \rho$ decays with the modified perturbative QCD approach
• Charmless $B_{u,d,s}\to VT$ decays in perturbative QCD approach
• Photon interactions and chiral dynamics
• Gravitational form-factors of the $\pi$ and $K$ mesons in QCD sum rules
• Higher twist light-cone distribution amplitudes of vector mesons in QCD
• Are there significant scalar resonances in $B^{-}\to D^{(\ast )0}{K}^{-}{K}^0$ decays?
• A role of parton charges and masses in the exclusive photon-photon production of meson pairs
• Exclusive production of light vector mesons at next-to-leading order in the dipole picture
• Non-leptonic B-decays in and beyond QCD Factorisation
• $B$ to light meson form factors with end-point cutoff
• $\rho$ exchange contribution to neutrinoless double beta decay
• A description of charmonia decays $J/\psi \to B\bar{B}$ within the QCD factorisation framework
• The Forward-Backward Asymmetry in the $B\to \pi {\ell }^{+}{\ell }^{-}$ Decay