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Lattice Results for Low Moments of Light Meson Distribution Amplitudes

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arxiv 1011.5906 v1 pith:BNUA5HLG submitted 2010-11-25 hep-lat

R. Arthur , P.A. Boyle , D. Brömmel , M.A. Donnellan , J.M. Flynn , A. Jüttner , T.D. Rae , C.T.C. Sachrajda This is my paper · ORCID
classification hep-lat
keywords amplitudesdistributionlatticemesonsmomentsablebreakingcalculate
verification ladder T0 review T1 audit T2 compute T3 formal

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As part of the UKQCD and RBC collaborations' N_f=2+1 domain-wall fermion phenomenology programme, we calculate the first two moments of the light-cone distribution amplitudes of the pseudoscalar mesons pion and kaon and the (longitudinally-polarised) vector mesons rho, K-star and phi. We obtain the desired quantities with good precision and are able to discern the expected quark-mass dependence of SU(3)-flavour breaking effects. An important ingredient of the calculation is the nonperturbative renormalisation of lattice operators using the RI'/MOM technique.

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Cited by 5 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. Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the fourth moment of the pion distribution amplitude

    hep-lat 2025-09 conditional novelty 7.0 of 10

    The fourth Mellin moment of the pion distribution amplitude is determined in the continuum limit for the first time in quenched QCD, giving <ξ^4> = 0.039(28)(11) at μ = 2 GeV.

  3. Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework

    hep-ph 2025-01 conditional novelty 6.0 of 10

    First DSE predictions for B*, B*_s, and B*_c distribution amplitudes show peaks near the Euclidean constituent quark mass ratio and a universal spin ordering.

  4. Non-perturbaitve effects for the isoscalar light vector $\omega$-meson in charmed meson semileptonic decays

    hep-ph 2025-11 conditional novelty 5.0 of 10

    With a new harmonic-oscillator model for the omega's transverse light-cone distribution amplitude, QCD light-cone sum rules reproduce the measured D+→ωℓν branching fractions and predict angular observables.

  5. Vector mesons leading-twist longitudinal distribution amplitudes and related semi-leptonic decays within QCD sum rules

    hep-ph 2026-07 conditional novelty 4.0 of 10

    New QCD sum-rule calculation gives ξ-moments up to tenth order and PLP-model distribution amplitudes for ρ, K*, φ, which are then used to recalculate D_(s)→V semileptonic observables.

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