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 charges with dynamical overlap fermions
6 Pith papers cite this work. Polarity classification is still indexing.
abstract
We calculate the scalar and tensor charges of the nucleon in 2+1-flavor lattice QCD, for which the systematics of the renormalization of the disconnected diagram is well controlled. Numerical simulations are performed at a single lattice spacing a = 0.11 fm. We simulate four pion masses, which cover a range of $m_\pi \sim$ 290 - 540 MeV, and a single strange quark mass close to its physical value. The statistical accuracy is improved by employing the so-called low-mode averaging technique and the truncated solver method. We study up, down, and strange quark contributions to the nucleon charges by calculating disconnected diagrams using the all-to-all quark propagator. Chiral symmetry is exactly preserved by using the overlap quark action to avoid operator mixing among different flavors, which complicates the renormalization of scalar and tensor matrix elements and leads to possibly large contamination to the small strange quark contributions. We also study the nucleon axial charge with contribution from the disconnected diagram. Our results are in reasonable agreement with experiments and previous lattice studies.
citation-role summary
citation-polarity summary
years
2026 6verdicts
UNVERDICTED 6roles
background 2polarities
background 2representative citing papers
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.
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.
In the chiral quark-soliton model with 1/N_c corrections, the isoscalar tensor charge is 0.81, the isovector anomalous tensor magnetic moment is 1.97, and the isoscalar tensor quadrupole moment is 5.98, completing the flavor decomposition.
A review of progress in quantifying flavor-diagonal hadronic CP violation effects on EDMs, neutron optics, beta decay, and an attempt to address the strong CP problem without new fields or interactions.
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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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.
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Multipole structure of the nucleon tensor form factors
In the chiral quark-soliton model with 1/N_c corrections, the isoscalar tensor charge is 0.81, the isovector anomalous tensor magnetic moment is 1.97, and the isoscalar tensor quadrupole moment is 5.98, completing the flavor decomposition.
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Quantification of the Flavor Diagonal Hadronic CP Violation
A review of progress in quantifying flavor-diagonal hadronic CP violation effects on EDMs, neutron optics, beta decay, and an attempt to address the strong CP problem without new fields or interactions.