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Nucleon Sigma Terms with $N_f = 2 + 1$ O($a$)-improved Wilson fermions

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arxiv 2303.08741 v2 pith:CRRKDFAY submitted 2023-03-15 hep-lat hep-phnucl-th

Andria Agadjanov , Dalibor Djukanovic , Georg von Hippel , Harvey B. Meyer , Konstantin Ottnad , Hartmut Wittig This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords sigmachiralnucleontermserrorfermionsimprovedinterpolation
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a lattice-QCD based analysis of the nucleon sigma terms using gauge ensembles with $N_f = 2 + 1$ flavors of ${\cal O}(a)$-improved Wilson fermions, with a complete error budget concerning excited-state contaminations, the chiral interpolation as well as finite-size and lattice spacing effects. We compute the sigma terms determined directly from the matrix elements of the scalar currents. The chiral interpolation is based on SU(3) baryon chiral perturbation theory using the extended on-mass shell renormalization scheme. For the pion nucleon sigma term, we obtain $\sigma_{\pi N} = (43.7\pm3.6)$ MeV, where the error includes our estimate of the aforementioned systematics. The tension with extractions based on dispersion theory persists at the 2.4-$\sigma$ level. For the strange sigma term, we obtain a non-zero value, $\sigma_s=(28.6\pm9.3)$ MeV.

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Cited by 5 Pith papers

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    A Ward identity analysis provides the first non-perturbative estimates of the O(a) improvement coefficient g_S for the flavour singlet scalar density in three-flavour QCD.

  2. Renormalization-Group Invariant Parity-Doublet Model for Nuclear and Neutron-Star Matter

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    Including baryonic vacuum fluctuations in the parity-doublet model through an RG-invariant mean-field scheme moves the chiral transition to higher densities and turns it into a smooth crossover for most values of the ...

  3. Nucleon sigma terms with a variational analysis from Lattice QCD

    hep-lat 2024-12 conditional novelty 6.0 of 10

    A variational basis with nucleon-sigma interpolators reduces excited state contamination in direct lattice QCD determinations of nucleon sigma terms, demonstrated on one Nf=3 ensemble at M_pi=429 MeV.

  4. Unveiling the Strong Interaction origin of Baryon Masses with Lattice QCD

    hep-lat 2024-11 conditional novelty 6.0 of 10

    First-principles lattice QCD decomposes baryon masses into quark sigma terms and a roughly flavor-independent gluon trace anomaly around 1 GeV.

  5. 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.

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