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Building upon our recent study arXiv:1709.04325, we investigate the feasibility of calculating the pion distribution amplitude from suitably chosen Euclidean correlation functions at large momentum. We demonstrate in this work the advantage…

A method is explained through which a pointwise accurate approximation to the pion's valence-quark distribution amplitude (PDA) may be obtained from a limited number of moments. In connection with the single nontrivial moment accessible in…

Nuclear Theory · Physics 2015-06-16 I. C. Cloët , L. Chang , C. D. Roberts , S. M. Schmidt , P. C. Tandy

We present a lattice QCD determination of the distribution amplitude (DA) of the pion and the first few Mellin moments from an analysis of the quasi-DA matrix element within the leading-twist framework. We perform our study on a HISQ…

High Energy Physics - Lattice · Physics 2022-10-21 Xiang Gao , Andrew D. Hanlon , Nikhil Karthik , Swagato Mukherjee , Peter Petreczky , Philipp Scior , Sergey Syritsyn , Yong Zhao

Using the second moment of the pion distribution amplitude as an example, we investigate whether lattice calculations of matrix elements of local operators involving covariant derivatives may benefit from the recently proposed momentum…

High Energy Physics - Lattice · Physics 2018-02-01 RQCD Collaboration , G. S. Bali , V. M. Braun , M. Göckeler , M. Gruber , F. Hutzler , P. Korcyl , B. Lang , A. Schäfer

We present a direct lattice QCD calculation of the $x$-dependence of the pion distribution amplitude (DA), which is performed using the quasi-DA in large momentum effective theory on a domain-wall fermion ensemble at physical quark masses…

High Energy Physics - Lattice · Physics 2024-07-29 Ethan Baker , Dennis Bollweg , Peter Boyle , Ian Cloët , Xiang Gao , Swagato Mukherjee , Peter Petreczky , Rui Zhang , Yong Zhao

We present a lattice quantum chromodynamics (QCD) calculation of the $x$-dependent pion and kaon distribution amplitudes (DA) in the framework of large momentum effective theory. This calculation is performed on a fine lattice of $a=0.076$…

High Energy Physics - Lattice · Physics 2024-12-13 Ian Cloet , Xiang Gao , Swagato Mukherjee , Sergey Syritsyn , Nikhil Karthik , Peter Petreczky , Rui Zhang , Yong Zhao

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…

High Energy Physics - Lattice · Physics 2022-10-05 Jun Hua , Min-Huan Chu , Jin-Chen He , Xiangdong Ji , Andreas Schäfer , Yushan Su , Peng Sun , Wei Wang , Ji Xu , Yi-Bo Yang , Fei Yao , Jian-Hui Zhang , Qi-An Zhang

We present the first lattice-QCD calculation of the pion distribution amplitude using the large- momentum effective field theory (LaMET) approach, which allows us to extract lightcone parton observables from a Euclidean lattice. The mass…

High Energy Physics - Lattice · Physics 2017-06-07 Jian-Hui Zhang , Jiunn-Wei Chen , Xiangdong Ji , Luchang Jin , Huey-Wen Lin

We suggest to carry out lattice calculations of current correlators in position space, sandwiched between the vacuum and a hadron state (e.g. pion), in order to access hadronic light-cone distribution amplitudes (DAs). In this way the…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. Braun , D. Müller

We present the current status of a non-perturbative lattice calculation of the moments of the pion and kaon distribution amplitudes by the RQCD collaboration. Our investigation is carried out using $N_f=2+1$ dynamical, non-perturbatively…

We extend our analysis of quasi-distributions onto the pion distribution amplitude. Using the formalism of parton virtuality distribution amplitudes (VDAs), we establish a connection between the pion transverse momentum dependent…

High Energy Physics - Phenomenology · Physics 2017-04-05 Anatoly V. Radyushkin

We present a lattice-QCD calculation of the pion distribution amplitudes using large-momentum effective theory (LaMET). Our calculation is carried out using five ensembles with 2+1+1 flavors of highly improved staggered quarks (HISQ),…

High Energy Physics - Lattice · Physics 2021-08-11 Nicholas Juliano , Rui Zhang , Carson Honkala , Huey-Wen Lin

Right now, we have not enough knowledge to determine the hadron distribution amplitudes (DAs) which are universal physical quantities in the high energy processes involving hadron for applying pQCD to exclusive processes. Even for the…

High Energy Physics - Phenomenology · Physics 2013-08-12 Tao Huang , Tao Zhong , Xing-Gang Wu

In this work we continue our effort to explore a recent proposal, which allows light-cone distributions to be extracted from purely spatial correlations, being thus accessible to lattice methods. In order to test the feasibility of this…

We present a lattice-QCD calculation of the pion, kaon and $\eta_s$ distribution amplitudes using large-momentum effective theory (LaMET). Our calculation is carried out using three ensembles with 2+1+1 flavors of highly improved staggered…

High Energy Physics - Lattice · Physics 2020-12-30 Rui Zhang , Carson Honkala , Huey-Wen Lin , Jiunn-Wei Chen

The evaluation of partonic distributions presents a challenge for QCD, and in particular for its Euclidean lattice realization. Recently, objects called quasi-distributions (which become standard distributions in a limit of the longitudinal…

High Energy Physics - Phenomenology · Physics 2017-11-28 Wojciech Broniowski , Enrique Ruiz Arriola

We study the kaon quasi-distribution amplitude (quasi-DA) and distribution amplitude (DA) within the large-momentum effective theory (LaMET) combined with the first-principles functional QCD. Using quark correlation functions and the kaon…

High Energy Physics - Phenomenology · Physics 2026-04-28 Wen Cui , Dao-yu Zhang , Chuang Huang , Wei-jie Fu

The pion distribution amplitude (DA) can be related to the fundamental QCD Green's functions as a function of the quark self-energy and the quark-pion vertex, which in turn are associated with the pion wave function through the…

High Energy Physics - Phenomenology · Physics 2015-06-23 E. G. S. Luna , A. A. Natale

We describe the present status of the pion distribution amplitude (DA) as it originated from several sources: (i) a nonperturbative approach, based on QCD sum rules with nonlocal condensates, (ii) an O(\alpha_s) QCD analysis of the CLEO…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. P. Bakulev

We describe the present status of the pion distribution amplitude (DA) as it originates from several sources: (i) a nonperturbative approach based on QCD sum rules with nonlocal condensates, (ii) an $O(\alpha_s)$ QCD analysis of the CLEO…

High Energy Physics - Phenomenology · Physics 2009-04-17 A. P. Bakulev , S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis
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