Distribution Amplitudes of K^{*} and ϕ at the Physical Pion Mass from Lattice QCD.

Jun Hua,Min-Huan Chu,Yi-Bo Yang,Wei Wang,Ji Xu,Jian-Hui Zhang,Qi-An Zhang,Peng Sun

doi:10.1103/physrevlett.127.062002

Abstract

We present the first lattice QCD calculation of the distribution amplitudes of longitudinally and transversely polarized vector mesons K^{*} and ϕ using large momentum effective theory. We use the clover fermion action on three ensembles with 2+1+1 flavors of highly improved staggered quarks action, generated by the MIMD Lattice Computation Collaboration, at physical pion mass and {0.06,0.09,0.12} fm lattice spacings and choose three different hadron momenta P_{z}={1.29,1.72,2.15} GeV. The resulting lattice matrix elements are nonperturbatively renormalized in a recently proposed hybrid scheme. An extrapolation to the continuum and infinite momentum limit is carried out. We find that, while the longitudinal distribution amplitudes tend to be close to the asymptotic form, the transverse ones deviate rather significantly from the asymptotic form. Our final results provide crucial abinitio theory inputs for analyzing pertinent exclusive processes.

Highlights

We present the first lattice QCD calculation of the distribution amplitudes of longitudinally and transversely polarized vector mesons KÃ and φ using large momentum effective theory
While the longitudinal distribution amplitudes tend to be close to the asymptotic form, the transverse ones deviate rather significantly from the asymptotic form
A reliable knowledge of light-cone distribution amplitudes (LCDAs) is essential in making predictions on physical observables, and in particular the transition form

Summary

Introduction

We present the first lattice QCD calculation of the distribution amplitudes of longitudinally and transversely polarized vector mesons KÃ and φ using large momentum effective theory. We use the clover fermion action on three ensembles with 2 þ 1 þ 1 flavors of highly improved staggered quarks action, generated by the MIMD Lattice Computation Collaboration, at physical pion mass and f0.06; 0.09; 0.12g fm lattice spacings and choose three different hadron momenta Pz 1⁄4 f1.29; 1.72; 2.15g GeV. The resulting lattice matrix elements are nonperturbatively renormalized in a recently proposed hybrid scheme.

Results

Conclusion