Calculation of the pion's quark distribution amplitude in lattice QCD with dynamical fermions

Daniel, David; Gupta, Rajan; Richards, Daniel R.

doi:10.1103/physrevd.43.3715

Cited by 83 publications

(68 citation statements)

References 13 publications

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“…Moments of meson distribution amplitude were first studied in the late 1980's in quenched [GK86,MS87a,DL88], and already a few years later in unquenched lattice QCD [DGR91]. The early calculations of the ξ 2 -moment of, e.g., the pion distribution amplitude, ξ 2 π (see Eq.…”

Section: Moments Of Meson Distribution Amplitudesmentioning

confidence: 99%

Hadron structure from lattice quantum chromodynamics

2010

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This is a review of hadron structure physics from lattice QCD. Throughout this report, we place emphasis on the contribution of lattice results to our understanding of a number of fundamental physics questions related to, e.g., the origin and distribution of the charge, magnetization, momentum and spin of hadrons. Following an introduction to some of the most important hadron structure observables, we summarize the methods and techniques employed for their calculation in lattice QCD. We briefly discuss the status of relevant chiral perturbation theory calculations needed for controlled extrapolations of the lattice results to the physical point. In the main part of this report, we give an overview of lattice calculations on hadron form factors, moments of (generalized) parton distributions, moments of hadron distribution amplitudes, and other important hadron structure observables. Whenever applicable, we compare with results from experiment and phenomenology, taking into account systematic uncertainties in the lattice computations. Finally, we discuss promising results based on new approaches, ideas and techniques, and close with remarks on future perspectives of the field.

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Section: Moments Of Meson Distribution Amplitudesmentioning

confidence: 99%

Hadron structure from lattice quantum chromodynamics

2010

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“…Unfortunately, lattice calculations have traditionally only been able to extract the lowest few moments of the pion DA after using the operator product expansion (OPE). The highest moment ever calculated on the lattice is the second moment [13][14][15][16][17], and most calculations struggled with the noise-to-signal ratio. Reference [18] took the moment results from lattice-QCD calculations and reconstructed the pion DA using a specific parametrization; however, the errors propagating from the lattice calculations are relatively large, preventing them from discriminating between the QCD models.…”

Section: Introductionmentioning

confidence: 99%

Pion distribution amplitude from lattice QCD

et al. 2017

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We present the first lattice-QCD calculation of the pion distribution amplitude using the largemomentum 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 . 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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“…It is well known that these form factors must be treated with the non-perturbative calculations. There are many different approaches to do that, such as lattice calculations [1], vector meson dominance (VMD) [2,3], perturbative QCD (pQCD) [4][5][6][7], QCD sum rules [8][9][10], nonlocal quark-pion dynamics [11,12], and light-front quark model (LFQM) [13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%