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American Physical Society, Physical Review D, 9(95)

DOI: 10.1103/physrevd.95.094514

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Pion Distribution Amplitude from Lattice QCD

Journal article published in 2017 by Jian-Hui Zhang, Jiunn-Wei Chen, Xiangdong Ji, Luchang Jin, Huey-Wen Lin
This paper is available in a repository.
This paper is available in a repository.

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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 lightcone 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 $m^2_{π} /P_z^2$. 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. ; Comment: 11 pages, 4 figures