Moments of pseudoscalar meson distribution amplitudes from the lattice

Abstract

Based on lattice simulations with two flavours of dynamical, O(a)-improved Wilson fermions we present results for the first two moments of the distribution amplitudes of pseudoscalar mesons at several values of the valence quark masses. By extrapolating our results to the physical masses of up/down and strange quarks, we find the first two moments of the K^+ distribution amplitude and the second moment of the pi^+ distribution amplitude. We use nonperturbatively determined renormalisation coefficients to obtain results in the MSbar scheme. At a scale of 4 GeV^2 we find a_2^pi=0.201(114) for the second Gegenbauer moment of the pion's distribution amplitude, while for the kaon, a_1^K=0.0453(9)(29) and a_2^K=0.175(18)(47).

arXiv comment26 pages, 16 figures, 10 tables. Minor changes, references added, to appear in Phys. Rev. D

References in corpus (45)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• 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
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• B_{d,s}->rho, omega, K*, phi Decay Form Factors from Light-Cone Sum Rules Revisited
• Exclusive Semileptonic and Rare B-Meson Decays in QCD
• The Uses of Conformal Symmetry in QCD
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Light hadrons with improved staggered quarks: approaching the continuum limit
• The Calculation of the Two-Loop Spin Splitting Functions $P_{ij}^{(1)}(x)$
• Pion and Rho Structure Functions from Lattice QCD
• Nonleptonic charmless B decays: factorization vs perturbative QCD
• Deep-inelastic scattering and the operator product expansion in lattice QCD
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• QCD-based pion distribution amplitudes confronting experimental data
• Predictions on $B\to \pi \bar{l}{\nu }_l$, $D\to \pi \bar{l}{\nu }_l$ and $D\to K\bar{l}{\nu }_l$ from QCD Light-Cone Sum Rules
• Effects of non-perturbatively improved dynamical fermions in QCD at fixed lattice spacing
• Pion form factor in QCD: From nonlocal condensates to NLO analytic perturbation theory
• 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
• A Determination of the Lambda Parameter from Full Lattice QCD
• On the SU(3) Symmetry-Breaking Corrections to Meson Distribution Amplitudes
• Direct measurement of the pion valence quark momentum distribution, the pion light-cone wave function squared
• SU(3) Breaking of Leading--Twist K and K* Distribution Amplitudes - a Reprise
• Kaon Distribution Amplitude from QCD Sum Rules
• Analytic coupling and Sudakov effects in exclusive processes: pion and ${\gamma }^{\ast }\gamma \to {\pi }^0$ form factors
• The Evolution of the Pion Distribution Amplitude in Next-to-Leading Order
• A lattice determination of moments of unpolarised nucleon structure functions using improved Wilson fermions
• Pion form factors with improved infrared factorization
• |V_ub| and Constraints on the Leading-Twist Pion Distribution Amplitude from B->pi l nu
• Tagging the pion quark structure in QCD
• Transverse lattice calculation of the pion light-cone wavefunctions
• Operator Relations for SU(3) Breaking Contributions to K and K* Distribution Amplitudes
• Investigation of the Second Moment of the Nucleon's g1 and g2 Structure Functions in Two-Flavor Lattice QCD
• Model Independent Results for SU(3) Violation in Light-Cone Distribution Functions
• The Second Moment of the Pion Light Cone Wave Function
• Impact of the higher twist effects on the $\gamma {\gamma }^{\ast }\to {\pi }^0$ transition form factor
• Towards the theory of coherent hard dijet production on hadrons and nuclei
• QCD factorization for the pion diffractive dissociation to two jets
• Model-Independent Results for SU(3) Violation in Twist-3 Light-Cone Distribution Functions
• Higher-twist corrections to nucleon structure functions from lattice QCD
• Has the E791 experiment measured the pion wave function profile ?
• Perturbative Renormalisation of the Second Moment of Generalised Parton Distributions
• Calculation of the cross section for the pion diffractive dissociation into two jets

Cited by in corpus (116)

• Explanation and Prediction of Observables using Continuum Strong QCD
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Exclusive processes in position space and the pion distribution amplitude
• Pion Distribution Amplitude from Lattice QCD
• The pion: an enigma within the Standard Model
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Hadron tomography by generalized distribution amplitudes in pion-pair production process ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$ and gravitational form factors for pion
• Shape of Pion Distribution Amplitude
• Evolved QCD predictions for the meson-photon transition form factors
• Structure of the neutral pion and its electromagnetic transition form factor
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Phenomenology of semileptonic B-meson decays with form factors from lattice QCD
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• Empirical Consequences of Emergent Mass
• Pion and Kaon Distribution Amplitudes from Lattice QCD
• Second Moment of the Pion Light-cone Distribution Amplitude from Lattice QCD
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• The form factors for the photon to pseudoscalar meson transitions - an update
• Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions
• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• B->eta(') Form Factors in QCD
• Spectator scattering at NLO in non-leptonic B decays: Leading penguin amplitudes
• Standard Model predictions for $B\to K{\ell }^{+}{\ell }^{-}$, $B\to K{\ell }_1^{-}{\ell }_2^{+}$ and $B\to K\nu \bar{\nu }$ using form factors from $N_f=2+1+1$ lattice QCD
• Two-loop Corrections to the B to pi Form Factor from QCD Sum Rules on the Light-Cone and |V(ub)|
• Pion-photon transition---the new QCD frontier
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• Pion distribution amplitude from lattice-QCD
• Three Lectures on Hadron Physics
• Towards NNLO Accuracy in the QCD Sum Rule for the Kaon Distribution Amplitude
• Hard spectator interactions in B to pi pi at order alpha_s^2
• Accessing proton generalized parton distributions and pion distribution amplitudes with the exclusive pion-induced Drell-Yan process at J-PARC
• B -> chi_cJ K decays revisited
• Next-to-leading order corrections in exclusive meson production
• Flavour symmetry breaking in the kaon parton distribution amplitude
• Distribution amplitudes of light-quark mesons from lattice QCD
• Testing QCD Sum Rules on the Light-Cone in D->(pi,K) l nu Decays
• Towards a fitting procedure to deeply virtual meson production -- the next-to-leading order case --
• Power Corrections in Charmless Nonleptonic B-Decays: Annihilation is Factorizable and Real
• Light mesons within the basis light-front quantization framework
• ${\eta }_c$ Elastic and Transition Form Factors: Contact Interaction and Algebraic Model
• Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules
• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• An improved light-cone harmonic oscillator model for the pionic leading-twist distribution amplitude
• B- -> pi- pi0/rho- rho0 to NNLO in QCD factorization
• The pion transition form factor and the pion distribution amplitude
• QCD sum rules with nonlocal condensates and the spacelike pion form factor
• The Nucleon Distribution Amplitudes and their application to nucleon form factors and the $N\to \Delta$ transition at intermediate values of $Q^2$
• Radiative Corrections on the $B\to P$ Form Factors with Chiral Current in the Light-Cone Sum Rules
• Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme
• Precision Control in Lattice Calculation of $x$-dependent Pion Distribution Amplitude
• Second moment of the pion distribution amplitude with the momentum smearing technique
• Spin effects in the pion holographic light-front wavefunction
• Pion transition form factor at the two-loop level vis-à-vis experimental data
• Transverse-momentum-dependent wave functions and Soft functions at one-loop in Large Momentum Effective Theory
• Dynamical spin effects in the holographic light-front wavefunctions of light pseudoscalar mesons
• Endpoint behavior of the pion distribution amplitude in QCD sum rules with nonlocal condensates
• Tomography of light mesons in light-cone quark model
• SU_f(3)-Symmetry Breaking Effects of the B\to K Transition Form Factor in the QCD Light-Cone Sum Rules
• Next-to-leading-order time-like pion form factors in $k_T$ factorization
• Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
• Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to $B$-meson decays
• Bridging light-cone and NRQCD approaches: asymptotic behavior of $B_c$ electromagnetic form factor
• The eta-photon transition form factor
• Leading-twist light cone distribution amplitudes for p-wave heavy quarkonium states
• Pion to photon transition form factors with basis light-front quantization
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• $B\to K$ Transition Form Factor up to $\mathcal{O}(1/m_b^2)$ within the $k_T$ Factorization Approach
• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• Heavy and light meson wavefunctions
• Lattice Results for Vector Meson Couplings and Parton Distribution Amplitudes
• Hard exclusive two photon processes in QCD
• Polarized and unpolarized $\mu$-pair meson-induced Drell--Yan production and the pion distribution amplitude
• The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model
• Dispersive derivation of the pion distribution amplitude
• The pion in the graviton soft-wall model: phenomenological applications
• New vistas of the meson structure in QCD from low to high energies
• Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and kaon twist-2 distribution amplitude
• On the pion distribution amplitude. Derivation, properties, predictions
• Kaon Electromagnetic Form Factor within the $k_T$ Factorization Formalism and It's Light-Cone Wave Function
• First Measurement of the Electromagnetic Form Factor of the Neutral Kaon at a Large Momentum Transfer and the Effect of $SU(3)$ Breaking
• The transverse spin structure of the pion at short distances
• On the second Gegenbauer moment of $\rho$-meson distribution amplitude
• Dipion light-cone distribution amplitudes and $B\to \pi \pi$ form factors
• Duality between different mechanisms of QCD factorization in γ^*γcollisions
• Exclusive electroproduction of pion pairs
• Progress in Kaon Physics on the Lattice
• Meson distribution amplitudes in holographic models
• Probing electroweak physics using B -> XM decays in the endpoint region
• Calculation of the pion-photon transition form factor using dispersion relations and renormalization-group summation
• Chiral anomaly and the pion properties in the light-front quark model
• Perturbative QCD Analysis of Exclusive Processes $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$
• Pion-photon transition form factor using light-cone sum rules: theoretical results, expectations, and a global-data fit
• Parton Distribution Amplitudes and Non-Perturbative Renormalisation
• The photon to pseudoscalar meson transition form factors
• Uncovering the Scaling Laws of Hard Exclusive Hadronic Processes in a Comprehensive Endpoint Model
• Form Factors and Differential Branching Ratio of $B\to K{\mu }^{+}{\mu }^{-}$ in AdS/QCD
• Study of light-cone distribution amplitudes for p-wave heavy mesons
• Pion-Photon Transition Form Factor and Pion Distribution Amplitude in QCD: Facing the Enigmatic Behavior of the BaBar Data
• Constraint of $\xi$-moments calculated with QCD sum rules on the pion distribution amplitude models
• DSE Perspective on QCD Modeling, Distribution Amplitudes, and Form Factors
• $\gamma \gamma \to M^{+}{M}^{-}(M=\pi ,K)$ processes with twist-3 corrections in QCD
• Pion-photon transition form factor. Living on the QCD frontier
• Investigations of hadron structure on the lattice
• Improved estimates of the pion-photon transition form factor in the $(1\le {\mathbf{Q}}^2\le 5)$~GeV${}^2$ range and their theoretical uncertainties
• Semi-inclusive hadronic B decays as null tests of the Standard Model
• Distribution Amplitudes of Pseudoscalar Mesons
• Exclusive decays ${\chi }_{cJ}\to K^{\ast }(892)K$ within the effective field theory framework
• Pion and Kaon Distribution Amplitudes from lattice QCD: towards the continuum limit
• Instanton effects on the twist-three light-cone distribution amplitudes of pion and light scalar mesons above 1GeV
• Looking for heavy axial tensor mesons via their strong decays in light cone QCD
• Ground state pseudoscalar mesons on the light front: from the light to heavy sector