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One-Loop Matching for Generalized Parton Distributions
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One-Loop Matching for Generalized Parton Distributions
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We present the one-loop matching condition for the unpolarized and polarized generalized quark distributions in the non-singlet case. The matching condition links the quasi distributions defined in terms of spacelike correlators at finite nucleon momentum to the light-cone distributions, and is useful for extracting the latter from the former in a lattice QCD calculation. Our results show that at one-loop and leading power accuracy the matching for the light-cone generalized quark distribution $H$ ($\tilde H$) is non-trivial, whereas no matching is required for $E$ ($\tilde E$). Therefore, $E$ ($\tilde E$) can be smoothly approached by its quasi counterpart in the large momentum limit. We also present the matching for the distribution amplitude of the pion.
Forward citations
Cited by 4 Pith papers
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Pion Distribution Amplitudes from Functional QCD
fRG-based functional QCD plus LaMET yields a saturated pion quasi-DA at Pz=4.5 GeV and a second moment ⟨ξ²⟩π=0.267, smaller than lattice-LaMET and consistent with other nonperturbative methods.
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Pion Distribution Amplitudes from Functional QCD
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).
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Finite-$t$ and target mass corrections for the short-distance expansion of quasi(pseudo) GPDs
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Hadron Structure from lattice QCD in the context of the Electron-Ion Collider
Lattice QCD now delivers high-precision results on hadron internal structure that directly support the scientific program of the Electron-Ion Collider.
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