Pion distribution amplitude from lattice QCD

Zhang, Jian-Hui; Chen, Jiunn-Wei; Ji, Xiangdong; Jin, Luchang; Lin, Huey-Wen

doi:10.1103/PhysRevD.95.094514

Title: Pion distribution amplitude from lattice QCD

Abstract

Here, we introduce 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 $$m^{2}_{π}$$/$$P^{2}_{z}$$. Furthermore, we 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.

Authors:

Zhang, Jian-Hui ^[1]; Chen, Jiunn-Wei ^[2]; Ji, Xiangdong ^[3]; Jin, Luchang ^[4]; Lin, Huey-Wen ^[5]

Univ. of Regensburg (Germany). Inst. for Theoretische Physik
National Taiwan Univ., Taipei (Taiwan); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Shanghai Jiao Tong Univ. (China); Univ. of Maryland, College Park, MD (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)
Michigan State Univ., East Lansing, MI (United States)

Publication Date:: Wed May 31 00:00:00 EDT 2017

Research Org.:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1544390

Alternate Identifier(s):: OSTI ID: 1360999

Report Number(s):: MIT-CTP/4876; MSUHEP-17-003
Journal ID: ISSN 2470-0010; PRVDAQ

Grant/Contract Number:: AC02-05CH11231; FG02-93ER-40762; SC0012704; 11DZ2260700

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 95; Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

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.

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                    Zhang, Jian-Hui, Chen, Jiunn-Wei, Ji, Xiangdong, Jin, Luchang, & Lin, Huey-Wen. Pion distribution amplitude from lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.95.094514

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                    Zhang, Jian-Hui, Chen, Jiunn-Wei, Ji, Xiangdong, Jin, Luchang, and Lin, Huey-Wen. Wed .  
"Pion distribution amplitude from lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.95.094514.  https://www.osti.gov/servlets/purl/1544390.

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@article{osti_1544390,

  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 = {Here, we introduce 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 $m^{2}_{π}$/$P^{2}_{z}$. Furthermore, we 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.},

  doi          = {10.1103/PhysRevD.95.094514},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 95,

  place        = {United States},

  year         = {Wed May 31 00:00:00 EDT 2017},

  month        = {Wed May 31 00:00:00 EDT 2017}

}

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Figures / Tables:

FIG. 1: The pion quasi-distribution amplitude (at $µ$ = 2 GeV) after one-loop and mass correction for $P$_$z$ = 2 (blue) and 3 (green) (in units of 2$π/L$). The extrapolation to infinite momentum to remove the remaining higher-twist effects is shown in red. The Wilson-line renormalization that removes the powermore »

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