Lattice QCD pseudo-distributions at m_π=358 MeV are inverted via multidimensional Gaussian process regression to reconstruct the full kinematic dependence of GPDs H^{u-d} and E^{u-d} while directly extracting double distributions.
Novel quark smearing for hadrons with high momenta in lattice QCD
7 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Hadrons in lattice QCD are usually created employing smeared interpolators. We introduce a new quark smearing that allows us to maintain small statistical errors and good overlaps of hadronic wavefunctions with the respective ground states, also at high spatial momenta. The method is successfully tested for the pion and the nucleon at a pion mass $m_{\pi}\approx 295$ MeV and momenta as high as 2.8 GeV. We compare the results obtained to dispersion relations and suggest further optimizations.
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hep-lat 7representative citing papers
First lattice QCD calculation at the physical pion mass of the isovector third moments of nucleon unpolarized, polarized, and transversity PDFs via forward matrix elements of local operators.
A hybrid renormalization scheme removes linear divergences from baryon quasi-DAs on the lattice, producing smooth continuum distributions at multiple spacings.
Lattice QCD calculation of pion and kaon unpolarized quark PDFs on a 32^3×64 ensemble with 260 MeV pion mass, using LaMET and SDF matching at boosts up to 2.07 GeV.
The skewness dependence of hadronic correlation functions affects Mellin moment extraction for double parton distributions from existing lattice data, as quantified through several models.
Analysis of non-perturbative lattice data shows that the inverse problem in LaMET introduces significant uncertainties in parton distributions, especially from harmonics around λ=5-15, and that exact asymptotic decay matters little in the currently applicable x range.
Renormalized matrix elements for the unpolarized quasi-PDF of the Δ⁺ are computed on two N_f=2+1+1 twisted mass lattice ensembles with pion masses 250 and 330 MeV using momentum smearing.
citing papers explorer
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Reconstructing the full kinematic dependence of GPDs from pseudo-distributions
Lattice QCD pseudo-distributions at m_π=358 MeV are inverted via multidimensional Gaussian process regression to reconstruct the full kinematic dependence of GPDs H^{u-d} and E^{u-d} while directly extracting double distributions.
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Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD
First lattice QCD calculation at the physical pion mass of the isovector third moments of nucleon unpolarized, polarized, and transversity PDFs via forward matrix elements of local operators.
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Hybrid Renormalization for Baryon Distribution Amplitudes from Lattice QCD in LaMET
A hybrid renormalization scheme removes linear divergences from baryon quasi-DAs on the lattice, producing smooth continuum distributions at multiple spacings.
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Pion and Kaon PDFs from Lattice QCD via Large Momentum Effective Theory and Short-Distance Factorization
Lattice QCD calculation of pion and kaon unpolarized quark PDFs on a 32^3×64 ensemble with 260 MeV pion mass, using LaMET and SDF matching at boosts up to 2.07 GeV.
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Extracting Mellin moments of double parton distributions from lattice data
The skewness dependence of hadronic correlation functions affects Mellin moment extraction for double parton distributions from existing lattice data, as quantified through several models.
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Inverse problem in the LaMET framework
Analysis of non-perturbative lattice data shows that the inverse problem in LaMET introduces significant uncertainties in parton distributions, especially from harmonics around λ=5-15, and that exact asymptotic decay matters little in the currently applicable x range.
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Parton distribution functions of $\Delta^+$ on the lattice
Renormalized matrix elements for the unpolarized quasi-PDF of the Δ⁺ are computed on two N_f=2+1+1 twisted mass lattice ensembles with pion masses 250 and 330 MeV using momentum smearing.