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Pion and Kaon Distribution Amplitudes from Lattice QCD

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arxiv 2201.09173 v1 pith:PSXRIAJU submitted 2022-01-23 hep-lat hep-ph

Jun Hua , Min-Huan Chu , Jin-Chen He , Xiangdong Ji , Andreas Schäfer , Yushan Su , Peng Sun , Wei Wang
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Ji Xu Yi-Bo Yang Fei Yao Jian-Hui Zhang Qi-An Zhang
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classification hep-lathep-ph
keywords kaonpionlatticeamplitudescalculationdistributionapproxasymptotic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present the state-of-the-art lattice QCD calculation of the pion and kaon light-cone distribution amplitudes (DAs) using large-momentum effective theory. The calculation is done at three lattice spacings $a\approx\{0.06,0.09,0.12\}$ fm and physical pion and kaon masses, with the meson momenta $P_z = \{1.29,1.72,2.15\}$ GeV. The result is non-perturbatively renormalized in a recently proposed hybrid scheme with self renormalization, and extrapolated to the continuum as well as the infinite momentum limit. We find a significant deviation of the pion and kaon DAs from the asymptotic form, and a large $SU(3)$ flavor breaking effect in the kaon DA.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Pion Distribution Amplitudes from Functional QCD

    hep-ph 2026-07 conditional novelty 7.0 of 10

    The pion DA computed from functional QCD via LaMET has ⟨ξ²⟩_π = 0.267 (no quoted error), consistent with sum rules and DSE/BSE and 0.8σ below the lattice-LaMET value 0.300(41).

  2. Unpolarized gluon PDF of the nucleon from lattice QCD at physical point in the continuum limit

    hep-lat 2025-10 conditional novelty 6.0 of 10

    A lattice QCD extraction of the nucleon gluon PDF using three lattice spacings, hybrid renormalization and NLO matching, extrapolated to the continuum and infinite-momentum limits, agrees with global fits while remain...

  3. Semi-inclusive pion electroproduction at the highest transverse momenta

    hep-ph 2025-08 conditional novelty 5.0 of 10

    Direct pion production dominates at high transverse momentum in semi-inclusive electroproduction, and its cross section factorizes to allow extraction of high-x PDFs and the pion distribution amplitude.

  4. Mapping Parton Distributions of Hadrons with Lattice QCD

    hep-lat 2025-06 accept

    A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.

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