Pion and Kaon Distribution Amplitudes from Lattice QCD

Abstract

We present the state-of-the-art lattice QCD calculation of the pion and kaon light-cone distribution amplitudes (DAs) using large-momentum effective theory. The calculation is done at three lattice spacings $a\approx \{0.06,0.09,0.12\}$ fm and physical pion and kaon masses, with the meson momenta $P_z=\{1.29,1.72,2.15\}$ GeV. The result is non-perturbatively renormalized in a recently proposed hybrid scheme with self renormalization, and extrapolated to the continuum as well as the infinite momentum limit. We find a significant deviation of the pion and kaon DAs from the asymptotic form, and a large $SU(3)$ flavor breaking effect in the kaon DA.

arXiv comment11 pages,18 figures

References in corpus (43)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• The Chroma Software System for Lattice QCD
• Parton Physics on Euclidean Lattice
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Search for lepton-universality violation in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Asymmetric Gluon Distributions and Hard Diffractive Electroproduction
• Measurement of the gamma gamma* --> pi0 transition form factor
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Large-Momentum Effective Theory
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Exclusive processes in position space and the pion distribution amplitude
• Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Pion Distribution Amplitude from Lattice QCD
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• 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
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
• Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
• Second Moment of the Pion Light-cone Distribution Amplitude from Lattice QCD
• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• Pion distribution amplitude from Euclidean correlation functions
• Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
• Distribution Amplitudes of $K^{\ast }$ and $\varphi$ at Physical Pion Mass from Lattice QCD
• A Lattice Computation of the First Moment of the Kaon's Distribution Amplitude
• Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme
• Second moment of the pion distribution amplitude with the momentum smearing technique
• Subleading power corrections to the pion-photon transition form factor in QCD
• Next-to-Next-to-Leading-Order QCD Prediction for the Photon-Pion Form Factor
• Pion-photon transition form factor in LCSR and tests of asymptotics
• What binds quarks together at different momentum scales? A conceptual scenario
• RI/MOM renormalization of the quasi-PDF in lattice regularization
• Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude
• The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
• Second moment of the pion's distribution amplitude
• Charmless $B\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects

Cited by in corpus (34)

• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks
• Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO
• Precision Control in Lattice Calculation of $x$-dependent Pion Distribution Amplitude
• Light-cone distribution amplitudes of a light baryon in large-momentum effective theory
• QCD Predictions for Meson Electromagnetic Form Factors at High Momenta: Testing Factorization in Exclusive Processes
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• Lightcone and quasi distribution amplitudes for light octet and decuplet baryons
• In-medium properties of the light and heavy-light mesons in a light-front quark model
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Nucleon Helicity Parton Distribution Function in the Continuum Limit with Self-Renormalization
• Pions valence quark distributions in asymmetric nuclear matter at finite temperature
• Power corrections to quasi-distribution amplitudes of a heavy meson
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Matching the B-meson quasidistribution amplitude in the RI/MOM scheme
• Probing $|V_{cs}|$ and lepton flavor universality through $D\to K_0^{\ast }(1430)\ell {\nu }_{\ell }$ decay
• Probing heavy meson lightcone distribution amplitudes with heavy quark spin symmetry
• Revisiting $D$-meson twist-2, 3 distribution amplitudes
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Determination of pion distribution amplitudes from the electromagnetic form factor with the data-driven dispersion relation
• Quasi-two-body decays $B_c\to D^{\ast }h\to D\pi h$ in the perturbative QCD
• Gravitational form factors in the perturbative limit
• Scrutinizing $B^0$-meson flavor changing neutral current decay into scalar $K_0^{\ast }(1430)$ meson with $b\to s{\ell }^{+}{\ell }^{-}(\nu \bar{\nu })$ transition
• Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework
• Towards a Global Analysis of the $b\to c\bar{u}q$ Puzzle
• Exploring the exclusive decay $B^{+}\to \omega {\ell }^{+}\nu$ with light-cone sum rules
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
• A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD
• Feasibility Study of Pion and Kaon Structure via the Sullivan Process at EicC
• Determination of $B$-meson distribution amplitudes from $B\to \pi ,K,D$ transition form factors
• Renormalon effect of quasi-PDF in gradient flow formalism
• One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme