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Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
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abstract
We present the first lattice calculation of the nucleon isovector unpolarized generalized parton distribution (GPD) at the physical pion mass using a lattice ensemble with 2+1+1 flavors of highly improved staggered quarks (HISQ) generated by MILC Collaboration, with lattice spacing $a\approx 0.09$~fm and volume $64^3\times 96$. We use momentum-smeared sources to improve the signal at nucleon boost momentum $P_z \approx 2.2$ GeV, and report results at nonzero momentum transfers in $[0.2,1.0]\text{ GeV}^2$. Nonperturbative renormalization in RI/MOM scheme is used to obtain the quasi-distribution before matching to the lightcone GPDs. The three-dimensional distributions $H(x,Q^2)$ and $E(x,Q^2)$ at $\xi=0$ are presented, along with the three-dimensional nucleon tomography and impact-parameter--dependent distribution for selected Bjorken $x$ at $\mu=3$ GeV in $\overline{\text{MS}}$ scheme.
Forward citations
Cited by 7 Pith papers
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Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
A threshold factorization and resummation scheme for quasi-GPD matching in LaMET is derived and shown to be self-consistent on a GPD model.
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Gluon Unpolarized, Polarized, and Transversity GPDs from Lattice QCD: Lorentz-Covariant Parametrization (Part I)
A Lorentz-covariant tensor basis and projection set is constructed that isolates all eight leading-twist gluon GPDs from lattice QCD matrix elements for spin-0 and spin-1/2 hadrons.
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Exclusive Quark and Gluon Dijet Production as Probes of GPDs at Collider Energies
Exclusive quark and gluon dijet electroproduction is analyzed in collinear factorization as a GPD probe, extending prior work with helicity GPDs and an electromagnetic channel, with HERA comparisons and EIC projections.
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GUMP1.0 -- First global extraction of generalized parton distributions from experiment and lattice data with NLO accuracy
A new global extraction, GUMP1.0, fits generalized parton distributions to 2,646 experimental and lattice data points at NLO accuracy and uses them to image the proton and decompose its spin.
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Assessing the impact of the electron ion collider in China on Deeply Virtual Compton Scattering
Projected EicC DVCS asymmetry data would substantially reduce uncertainties on all leading-order Compton form factors, most strongly in the sea-quark region.
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Gluon skewed generalized parton distributions of proton from a light-front Hamiltonian approach
Using light-front wave functions with one dynamical gluon, the authors obtain all leading-twist gluon GPDs of the proton at nonzero skewness and find diffraction-like patterns in longitudinal position space.
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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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