Pion distribution amplitude from lattice QCD

Jian-Hui Zhang, Jiunn-Wei Chen, Xiangdong Ji, Luchang Jin, and Huey-Wen Lin
Phys. Rev. D 95, 094514 – Published 31 May 2017

Abstract

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 light cone parton observables from a Euclidean lattice. The mass corrections needed to extract the pion distribution amplitude from this approach are calculated to all orders in mπ2/Pz2. We also implement the Wilson-line renormalization which is crucial to remove the power divergences in this approach, and find that it reduces the oscillation at the end points of the distribution amplitude. Our exploratory result at 310-MeV pion mass favors a single-hump form broader than the asymptotic form of the pion distribution amplitude.

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  • Received 17 February 2017

DOI:https://doi.org/10.1103/PhysRevD.95.094514

© 2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
  1. Techniques
Particles & Fields

Authors & Affiliations

Jian-Hui Zhang1,*, Jiunn-Wei Chen2,3,†, Xiangdong Ji4,5,‡, Luchang Jin6,§, and Huey-Wen Lin7,8,∥

  • 1Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany
  • 2Department of Physics, Center for Theoretical Sciences, and Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei, Taiwan 106
  • 3Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 4Tsung-Dao Lee Institute, and College of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China
  • 5Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
  • 6Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 7Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
  • 8Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, Michigan 48824, USA

  • *jianhui.zhang@ur.de
  • jwc@phys.ntu.edu.tw
  • xji@umd.edu
  • §ljin.luchang@gmail.com
  • hwlin@pa.msu.edu

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Issue

Vol. 95, Iss. 9 — 1 May 2017

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