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QCD Predictions for Meson Electromagnetic Form Factors at High Momenta: Testing Factorization in Exclusive Processes

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arxiv 2404.04412 v2 pith:BEWMJZOO submitted 2024-04-05 hep-lat hep-phnucl-exnucl-th

QCD Predictions for Meson Electromagnetic Form Factors at High Momenta: Testing Factorization in Exclusive Processes

classification hep-lat hep-phnucl-exnucl-th
keywords factorsformmathrmelectromagneticfactorizationframeworkjlablattice
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We report the first lattice QCD computation of pion and kaon electromagnetic form factors, $F_M(Q^2)$, at large momentum transfer up to 10 and 28 $\mathrm{GeV}^2$, respectively. Utilizing physical masses and two fine lattices, we achieve good agreement with JLab experimental results at $Q^2 \lesssim 4~\mathrm{GeV}^2$. For $Q^2 \gtrsim 4~\mathrm{GeV}^2$, our results provide $\textit{ab-initio}$ QCD benchmarks for the forthcoming experiments at JLab 12 GeV and future electron-ion colliders. We also test the QCD collinear factorization framework utilizing our high-$Q^2$ form factors at next-to-next-to-leading order in perturbation theory, which relates the form factors to the leading Fock-state meson distribution amplitudes. Comparisons with independent lattice QCD calculations using the same framework demonstrate, within estimated uncertainties, the universality of these nonperturbative quantities.

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Cited by 4 Pith papers

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    Kaon DA is single-peaked and asymmetric with moments ⟨ξ⟩_K = 0.020(3) and ⟨ξ²⟩_K = 0.253(12) after 1/P_z² and 1/P_z⁴ extrapolation of the quasi-DA.

  2. Valence quark distribution of the pion inside a medium with finite baryon density: A Nambu--Jona-Lasinio model approach

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  3. Kinematic enhancement for nucleon interpolators

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    Kinematically enhanced nucleon interpolators improve precision of renormalized quark matrix elements by an order of magnitude at 2.5 GeV with no observed lattice spacing dependence on CLS ensembles.

  4. Extraction of Pion Unpolarized Quark Generalized Parton Distribution from Charge Form Factors

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    Pion unpolarized quark GPDs at zero skewness are extracted from a data-driven fit to the electromagnetic form factor and PDFs using a parameterized form factor embedded in a PDF-plus-profile GPD framework.