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Lattice Nucleon Isovector Unpolarized Parton Distribution in the Physical-Continuum Limit
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abstract
We present the first lattice-QCD calculation of the nucleon isovector unpolarized parton distribution functions (PDFs) at the physical-continuum limit using Large-Momentum Effective Theory (LaMET). The lattice results are calculated using ensembles with multiple sea pion masses with the lightest one around 135~MeV, 3 lattice spacings $a\in[0.06,0.12]$~fm, and multiple volumes with $M_\pi L$ ranging 3.3 to 5.5. We perform a simultaneous chiral-continuum extrapolation to obtain RI/MOM renormalized nucleon matrix elements with various Wilson-link displacements in the continuum limit at physical pion mass. Then, we apply one-loop perturbative matching to the quasi-PDFs to obtain the lightcone PDFs. We find the lattice-spacing dependence to be much larger than the dependence on pion mass and lattice volume for these LaMET matrix elements. Our physical-continuum limit unpolarized isovector nucleon PDFs are found to be consistent with global-PDF results.
Forward citations
Cited by 4 Pith papers
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A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD
One neural network simultaneously fits LaMET and short-distance-expansion lattice data to reconstruct light-cone PDFs and zero-skewness GPDs of the nucleon.
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Ill-Posedness in Limited Discrete Fourier Inversion and Regularization for Quasi Distributions in LaMET
Tikhonov regularization with L-curve parameter choice stabilizes the ill-conditioned limited inverse Fourier transform in LaMET and recovers pion quasi distribution amplitudes consistent with physics-driven lambda-ext...
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Parton distribution functions from lattice QCD
A review of lattice-QCD approaches to parton distribution functions concludes that the field is moving from feasibility studies to quantitatively controlled calculations.
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Mapping Parton Distributions of Hadrons with Lattice QCD
A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.
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