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Octet baryon isovector charges from $N_f = 2 + 1$ lattice QCD

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arxiv 2305.04717 v3 pith:BBKGAMJM submitted 2023-05-08 hep-lat hep-ph

classification hep-lathep-ph
keywords chargeslatticemassphysicalaxialdowneffectsensembles
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We determine the axial, scalar and tensor isovector charges of the nucleon, sigma and cascade baryons as well as the difference between the up and down quark masses, $m_u-m_d$. We employ gauge ensembles with $N_f=2+1$ non-perturbatively improved Wilson fermions at six values of the lattice spacing in the range $a\approx (0.039 - 0.098) \,$fm, generated by the Coordinated Lattice Simulations (CLS) effort. The pion mass $M_\pi$ ranges from around $430 \, $MeV down to a near physical value of $130 \, $MeV and the linear spatial lattice extent $L$ varies from $6.5\,M_{\pi}^{-1}$ to $3.0\,M_{\pi}^{-1}$, where $L M_\pi \geq 4$ for the majority of the ensembles. This allows us to perform a controlled interpolation/extrapolation of the charges to the physical mass point in the infinite volume and continuum limit. Investigating SU(3) flavour symmetry, we find moderate symmetry breaking effects for the axial charges at the physical quark mass point, while no significant effects are found for the other charges within current uncertainties.

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Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quark Transverse Spin-Momentum Correlation of the Pion from Lattice QCD: The Boer-Mulders Function

    hep-lat 2024-12 conditional novelty 6.0 of 10

    The pion Boer-Mulders function is computed for the first time from lattice QCD and is found to decay with transverse separation, becoming compatible with zero around 0.5 to 0.6 fm.

  2. Studies of nucleon isovector structure with the PACS10 superfine lattice

    hep-lat 2024-11 conditional novelty 6.0 of 10

    Lattice QCD on the PACS10 superfine ensemble yields nucleon axial, induced pseudoscalar, and pion-nucleon couplings consistent with experiment and prior lattice results, with no strong lattice-spacing dependence.

  3. Nucleon charges and $\sigma$-terms in lattice QCD

    hep-lat 2024-12 conditional novelty 5.0 of 10

    First-principles lattice QCD at the physical pion mass yields nucleon charges and sigma-terms in the continuum limit, with g_A^{u-d}=1.250(24) matching experiment.

  4. Weak charged current induced electron and positron scattering off proton at JLab and MAMI energies

    hep-ph 2026-07 conditional novelty 4.0 of 10

    Calculated cross sections and spin observables for weak charged-current e±+p scattering at JLab-MAMI energies, presented as benchmarks to extract the axial dipole mass and test G- and T-invariance.

  5. Nucleon axial, tensor, and scalar charges and $\sigma$-terms in lattice QCD

    hep-lat 2025-02 conditional novelty 4.0 of 10

    Continuum-limit nucleon charges and sigma-terms from physical-point lattice ensembles: the isovector axial charge is 1.250(24) and sigma_piN is 41.9(8.1) MeV, with a preliminary finer-lattice check.

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