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.
Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
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abstract
We report on lattice QCD calculations of the nucleon isovector axial, scalar, and tensor charges. Our calculations are performed on two 2+1-flavor ensembles generated using a 2-HEX-smeared Wilson-clover action at the physical pion mass and lattice spacings $a\approx$ 0.116 and 0.093 fm. We use a wide range of source-sink separations - eight values ranging from roughly 0.4 to 1.4 fm on the coarse ensemble and three values from 0.9 to 1.5 fm on the fine ensemble - which allows us to perform an extensive study of excited-state effects using different analysis and fit strategies. To determine the renormalization factors, we use the nonperturbative Rome-Southampton approach and compare RI'-MOM and RI-SMOM intermediate schemes to estimate the systematic uncertainties. Our final results are computed in the MS-bar scheme at scale 2 GeV. The tensor and axial charges have uncertainties of roughly 4%, $g_T=0.972(41)$ and $g_A=1.265(49)$. The resulting scalar charge, $g_S=0.927(303)$, has a much larger uncertainty due to a stronger dependence on the choice of intermediate renormalization scheme and on the lattice spacing.
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A new approach using near-side energy-energy correlators in dihadron fragmentation enables extraction of nucleon transversity PDF in collinear factorization without modeling intrinsic transverse momentum or dihadron resonances.
Numerical predictions for transverse-spin dependent energy-energy correlators in polarized pp collisions agree with recent STAR data and show a slight preference for transversity extractions consistent with lattice QCD.
Lattice QCD yields the singlet axial form factor G_A^{u+d+s}(Q^2) and strange G_A^s(Q^2) with full error budget after chiral, continuum, and infinite-volume extrapolations.
Pseudo-data from CLAS12, SoLID, and ePIC experiments are incorporated into the JAMDiFF analysis to forecast reduced uncertainties on transversity PDFs at intermediate-to-large x from JLab and across all x from EIC, plus tensor charge comparisons to lattice QCD.
citing papers explorer
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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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Simplified approach to extracting nucleon transversity in collinear factorization using near-side energy-energy correlators
A new approach using near-side energy-energy correlators in dihadron fragmentation enables extraction of nucleon transversity PDF in collinear factorization without modeling intrinsic transverse momentum or dihadron resonances.
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Transverse-spin dependent energy-energy correlators in proton-proton collisions within the dihadron fragmentation framework
Numerical predictions for transverse-spin dependent energy-energy correlators in polarized pp collisions agree with recent STAR data and show a slight preference for transversity extractions consistent with lattice QCD.
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The strange and flavor-singlet axial form factors of the nucleon from lattice QCD
Lattice QCD yields the singlet axial form factor G_A^{u+d+s}(Q^2) and strange G_A^s(Q^2) with full error budget after chiral, continuum, and infinite-volume extrapolations.
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Impact of Future Dihadron Production Measurements on the Transversity Distributions and Tensor Charges of the Nucleon
Pseudo-data from CLAS12, SoLID, and ePIC experiments are incorporated into the JAMDiFF analysis to forecast reduced uncertainties on transversity PDFs at intermediate-to-large x from JLab and across all x from EIC, plus tensor charge comparisons to lattice QCD.