Pion distribution amplitude from lattice QCD
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PhysRevD.95.094514.pdf
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Author(s) • • • •
Zhang, Jian-Hui
Ji, Xiangdong
Jin, Luchang
Lin, Huey-Wen
Chen, Jiunn-Wei
Date Issued
May 2017
Journal
Physical Review D
Publisher
American Physical Society
Citation
Zhang, Jian-Hui, Jiunn-Wei Chen, Xiangdong Ji, Luchang Jin, and Huey-Wen Lin. “Pion Distribution Amplitude from Lattice QCD.” Physical Review D 95, no. 9 (May 31, 2017).
Version
Final published version
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 m_{π}^{2}/P_{z}^{2}. 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.95.094514