Distribution amplitudes of light-quark mesons from lattice QCD

Abstract

We exploit a method introduced recently to determine parton distribution amplitudes (PDAs) from minimal information in order to obtain light-quark pseudoscalar and vector meson PDAs from the limited number of moments produced by numerical simulations of lattice-regularised QCD. Within errors, the PDAs of pseudoscalar and vector mesons constituted from the same valence quarks are identical; they are concave functions, whose dilation expresses the strength of dynamical chiral symmetry breaking; and SU(3)-flavour symmetry is broken nonperturbatively at the level of 10%. Notably, the appearance of precision in the lattice moments is misleading. The moments also exhibit material dependence on lattice volume, especially for the pion. Improvements need therefore be made before an accurate, unified picture of the light-front structure of light-quark pseudoscalar and vector mesons is revealed.

7 pages, 4 figures, 2 tables

References in corpus (18)

• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Explanation and Prediction of Observables using Continuum Strong QCD
• Sketching the Bethe-Salpeter kernel
• Nucleon electromagnetic form factors
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Pion electromagnetic form factor at spacelike momenta
• Dressed-quark anomalous magnetic moments
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Vector meson form factors and their quark-mass dependence
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• 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 and kaon valence-quark parton distribution functions
• Comparing antithetic trends of data for the pion-photon transition form factor
• Light front distribution of the chiral condensate
• Predicting $B->\rho \gamma$ and $B_s->\rho \gamma$ using holographic AdS/QCD Distribution Amplitudes for the $\rho$ meson

Cited by in corpus (31)

• Light-Front Holographic QCD and Emerging Confinement
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• The pion: an enigma within the Standard Model
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Nucleon and $\Delta$ elastic and transition form factors
• Empirical Consequences of Emergent Mass
• Basis light front quantization for the charged light mesons with color singlet Nambu--Jona-Lasinio interactions
• Pion and kaon valence-quark quasiparton distributions
• Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
• Parton distribution amplitudes of light vector mesons
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• Three Lectures on Hadron Physics
• Mass-dependence of pseudoscalar meson elastic form factors
• Exposing strangeness: projections for kaon electromagnetic form factors
• Reflections upon the Emergence of Hadronic Mass
• Flavour symmetry breaking in the kaon parton distribution amplitude
• Contribution of neutral pseudoscalar mesons to $a_{\mu }^{HLbL}$ within a Schwinger-Dyson equations approach to QCD
• Higgs modulation of emergent mass as revealed in kaon and pion parton distributions
• Light mesons within the basis light-front quantization framework
• Off-shell persistence of composite pions and kaons
• Distribution amplitudes of radially-excited pi- and K-mesons
• Leading-twist distribution amplitudes of scalar- and vector-mesons
• The photon-pion transition form factor: incompatible data or incompatible models?
• Calculation of the pion-photon transition form factor using dispersion relations and renormalization-group summation
• Uncovering the Scaling Laws of Hard Exclusive Hadronic Processes in a Comprehensive Endpoint Model
• The Charm and Beauty of Strong Interactions
• Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework
• Global analysis of generalized parton distributions -- collider kinematics --
• Nucleon viewed as a Borromean Bound-State
• Images of the Origin of Mass
• Towards High-Precision Parton Distributions From Lattice QCD via Distillation