On the second Gegenbauer moment of $\rho$-meson distribution amplitude

Abstract

Using the soft pion theorem, crossing, and the dispersion relations for the two pion distribution amplitude ($2\pi$DA) we argue that the second Gegenbauer moment the $\rho$-meson DA ($a_2^{(\rho )}$) most probably is negative. This result is at variance with the majority of the model calculations for $a_2^{(\rho )}$. Using the instanton theory of the QCD vacuum, we computed $a_2^{(\rho )}$ at a low normalisation point and obtain for the ratio $a_2^{(\rho )}/M_3^{(\pi )}$ {\it definitely negative value} in the range of $a_2^{(\rho )}/M_3^{(\pi )}\in [-2,-1]$. The range of values corresponds to a generous variation of the parameters of the instanton vacuum. The value of the second Gegenbauer moment of pion DA is positive in the whole range and is compatible with its the most advanced lattice measurement. It seems that the topologically non-trivial field configurations in the QCD vacuum (instantons) lead to qualitatively different shapes of the pion and the $\rho$-meson DAs.

arXiv commentThe consistent NLO analysis is performed. The improved analysis strengthens our idea about the negative sign of the second Gegenbauer coefficient of rho-meson DA

References in corpus (35)

• B_{d,s}->rho, omega, K*, phi Decay Form Factors from Light-Cone Sum Rules Revisited
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Exclusive Semileptonic and Rare B-Meson Decays in QCD
• The $\rho$ Meson Light-Cone Distribution Amplitudes of Leading Twist Revisited
• Probing partonic structure in gamma* gamma -> pi pi near threshold
• Pionic Parton Distributions Revisited
• Hard exclusive electroproduction of two pions and their resonances
• Effective Field Theory Description of the Pion Form Factor
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Study of B --> pi l nu and B --> rho l nu Decays and Determination of |V_ub|
• Study of Exclusive B->X_u l nu Decays and Extraction of |V_{ub}| using Full Reconstruction Tagging at the Belle Experiment
• An AdS/QCD holographic wavefunction for the rho meson and diffractive rho meson electroproduction
• Hadronic matrix elements of gluon operators in the instanton vacuum
• Use and Misuse of QCD Sum Rules in Heavy-to-light Transitions: the Decay $B\to \rho e\nu$ Reexamined
• Pion and photon light-cone wave functions from the instanton vacuum
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Parton Distribution Functions of the Charged Pion Within The xFitter Framework
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
• Pion light cone wave function in the non-local NJL model
• The $\rho$-meson and related meson wave functions in QCD sum rules with nonlocal condensates
• Parton distribution amplitudes of light vector mesons
• Self-consistent covariant description of vector meson decay constants and chirality-even quark-antiquark distribution amplitudes up to twist-3 in the light-front quark model
• The Second Moment of the Pion Light Cone Wave Function
• The $\rho$-meson light-cone distribution amplitudes from lattice QCD
• Two-pion light-cone distribution amplitudes from the instanton vacuum
• Extracting the rho meson wavefunction from HERA data
• Chimera distribution amplitudes for the pion and the longitudinally polarized $\rho$-meson
• Vacuum condensates and the pion wave functions in the nonlocal chiral model
• The $\rho$-meson longitudinal leading-twist distribution amplitude within QCD background field theory
• Partonic structure of pi and rho mesons from data on hard (semi)exclusive production of two pions off nucleon
• Rho meson distribution amplitudes from QCD sum rules with nonlocal condensates
• Light-front wave functions of mesons, baryons and pentaquarks, with topology-induced local 4-quark interaction
• One Loop Chiral Corrections to Hard Exclusive Processes:I. Pion Case

Cited by in corpus (4)

• Pion-production cross sections in neutrino reactions for studying generalized parton distributions of the nucleon
• Isovector helicity quark quasi-distributions inside a large Nc nucleon
• Exclusive production of light vector mesons at next-to-leading order in the dipole picture
• Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon