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Title: Pion distribution amplitude from lattice QCD

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Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:
AC02-05CH11231; FG02-93ER-40762; 11DZ2260700; SC0012704
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 9; Related Information: CHORUS Timestamp: 2017-05-31 22:12:58; Journal ID: ISSN 2470-0010
American Physical Society
Country of Publication:
United States

Citation Formats

Zhang, Jian-Hui, Chen, Jiunn-Wei, Ji, Xiangdong, Jin, Luchang, and Lin, Huey-Wen. Pion distribution amplitude from lattice QCD. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.95.094514.
Zhang, Jian-Hui, Chen, Jiunn-Wei, Ji, Xiangdong, Jin, Luchang, & Lin, Huey-Wen. Pion distribution amplitude from lattice QCD. United States. doi:10.1103/PhysRevD.95.094514.
Zhang, Jian-Hui, Chen, Jiunn-Wei, Ji, Xiangdong, Jin, Luchang, and Lin, Huey-Wen. 2017. "Pion distribution amplitude from lattice QCD". United States. doi:10.1103/PhysRevD.95.094514.
title = {Pion distribution amplitude from lattice QCD},
author = {Zhang, Jian-Hui and Chen, Jiunn-Wei and Ji, Xiangdong and Jin, Luchang and Lin, Huey-Wen},
abstractNote = {},
doi = {10.1103/PhysRevD.95.094514},
journal = {Physical Review D},
number = 9,
volume = 95,
place = {United States},
year = 2017,
month = 5

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on May 31, 2018
Publisher's Accepted Manuscript

Citation Metrics:
Cited by: 13works
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  • 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. Furthermore, in connection with the single nontrivial moment accessible in contemporary simulations of lattice-regularized QCD, the method yields a PDA that is a broad concave function whose pointwise form agrees with that predicted by Dyson-Schwinger equation analyses of the pion. Under leading-order evolution, the PDA remains broad to energy scales in excess of 100 GeV, a feature which signals persistence of the influence of dynamical chiral symmetry breaking. Consequently, the asymptotic distribution φmore » $$asy\atop{π}$$( x ) is a poor approximation to the pion’s PDA at all such scales that are either currently accessible or foreseeable in experiments on pion elastic and transition form factors. Thus, related expectations based on φ$$asy\atop{π}$$( x ) should be revised.« less
  • The new BABAR data on the pion-photon transition form factor arouses people's interest for the determination of the pion distribution amplitude. To explain the data, we take both the leading valence quark state's and the nonvalence quark state's contributions into consideration, where the valence quark part up to next-to-leading order is presented and the nonvalence quark part is estimated by a phenomenological model based on its limiting behavior at both Q{sup 2}{yields}0 and Q{sup 2}{yields}{infinity}. Our results show that to be consistent with the new BABAR data at the large Q{sup 2} region, a broader amplitude other than the asymptoticlikemore » pion distribution amplitude should be adopted. The broadness of the pion distribution amplitude is controlled by a parameter B. It has been found that the new BABAR data at low and high energy regions can be explained simultaneously by setting B to be around 0.60, in which the pion distribution amplitude is closed to the Chernyak-Zhitnitsky form.« less
  • The holographic QCD prediction for the pion distribution amplitude (DA) {phi}{sub hol}(u) is used to compute the pion spacelike electromagnetic form factor F{sub {pi}}(Q{sup 2}) within the QCD light-cone sum rule method. In calculations the pion's renormalon-based model twist-4 DA, as well as the asymptotic twist-4 DA are employed. Obtained theoretical predictions are compared with experimental data and with results of the holographic QCD.
  • The photon-to-pion transition form factor is investigated using the form of the renormalon-based twist-four pion distribution amplitude (DA) in the framework of the light-cone local-duality QCD sum rule, which, with suitable parameters, is insensitive to the higher-order Gegenbauer coefficients. With a careful determination for the insertion parameters so that the contribution from the higher-order Gegenbauer expansions is suppressed, the best-fit central values of the first two nontrivial Gegenbauer coefficients of the pion distribution amplitude are extracted out from the CLEO data to be a{sub 2}(1 GeV{sup 2})=0.145{+-}0.055 and a{sub 4}(1 GeV{sup 2})=-(0.125{+-}0.085), respectively. The rescaled photon-to-pion transition form factor withmore » our best-fit parameters is consistent very well with both the CELLO data and the prediction of the interpolation formula in all the experimental accessible region of the momentum transfer. The shape of the pion distribution amplitude based on the two-parameter model favors the camel-like type, where the near-end-point values are suppressed more than the asymptotic DA, and satisfies the midpoint constraint from light-cone sum rules approximately.« less