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.
Parton Physics from Large-Momentum Effective Field Theory
13 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Parton physics, when formulated as light-front correlations, are difficult to study non-perturbatively, despite the promise of light-front quantization. Recently an alternative approach to partons have been proposed by re-visiting original Feynman picture of a hadron moving at asymptotically large momentum. Here I formulate the approach in the language of an effective field theory for a large hadron momentum $P$ in lattice QCD, LaMET for short. I show that using this new effective theory, parton properties, including light-front parton wave functions, can be extracted from lattice observables in a systematic expansion of $1/P$, much like that the parton distributions can be extracted from the hard scattering data at momentum scales of a few GeV.
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The Collins-Soper kernel is extracted from lattice computations of a vacuum soft function, showing rapidity dependence consistent with Collins-Soper evolution, comparable errors to hadronic methods, and saturation at large transverse separations.
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
In gauge-free quark models, quasi-PDFs converge to PDFs with proven sum rules, and the Covariant Parton Model supplies closed-form small-x results that match a Wandzura-Wilczek approximation for the quark energy-momentum tensor form factor.
First lattice QCD results for Mellin moments of pion and kaon unpolarized PDFs from nonlocal operator matrix elements on a 32^3×64 twisted-mass ensemble at m_π=260 MeV, extracted at NNLO and μ=2 GeV.
Establishes the HQLaMET two-step factorization scheme to enable lattice QCD computation of the B-meson shape function by separating the effects of disparate scales.
Lattice QCD extracts the ratio of the third to first Mellin moment of the gluon PDF at 2 GeV from nonlocal operators on an Nf=2+1+1 ensemble.
A hybrid renormalization scheme removes linear divergences from baryon quasi-DAs on the lattice, producing smooth continuum distributions at multiple spacings.
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.
Reanalysis of lattice data produces proton u(x)-d(x) PDF consistent with global fits within 1 sigma, supporting large-momentum expansion for PDF predictions.
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.
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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The Collins-Soper kernel from a vacuum soft function
The Collins-Soper kernel is extracted from lattice computations of a vacuum soft function, showing rapidity dependence consistent with Collins-Soper evolution, comparable errors to hadronic methods, and saturation at large transverse separations.
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Elastic and resonance structures of the nucleon from hadronic tensor in lattice QCD: implications for neutrino-nucleon scattering and hadron physics
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
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Quasi Parton Distribution Functions in Covariant Quark Models
In gauge-free quark models, quasi-PDFs converge to PDFs with proven sum rules, and the Covariant Parton Model supplies closed-form small-x results that match a Wandzura-Wilczek approximation for the quark energy-momentum tensor form factor.
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Mellin Moments of Pion and Kaon Unpolarized PDFs from Nonlocal Operators in Lattice QCD
First lattice QCD results for Mellin moments of pion and kaon unpolarized PDFs from nonlocal operator matrix elements on a 32^3×64 twisted-mass ensemble at m_π=260 MeV, extracted at NNLO and μ=2 GeV.
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Accessing the HQET B-Meson Shape Function from a LaMET Quasi-Shape Function
Establishes the HQLaMET two-step factorization scheme to enable lattice QCD computation of the B-meson shape function by separating the effects of disparate scales.
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Mellin Moments of the Unpolarized Gluon PDF in the Proton from Nonlocal Operators in Lattice QCD
Lattice QCD extracts the ratio of the third to first Mellin moment of the gluon PDF at 2 GeV from nonlocal operators on an Nf=2+1+1 ensemble.
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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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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.
-
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.
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Proton's isovector PDF with updated analysis of large-momentum lattice data
Reanalysis of lattice data produces proton u(x)-d(x) PDF consistent with global fits within 1 sigma, supporting large-momentum expansion for PDF predictions.
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Kinematic enhancement for nucleon interpolators
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.