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Low-energy couplings of QCD from current correlators near the chiral limit

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arxiv hep-lat/0402002 v2 pith:3HS24FWS submitted 2004-02-03 hep-lat hep-ph

L. Giusti , P. Hernandez , M. Laine , P. Weisz , H. Wittig This is my paper · ORCID
classification hep-lathep-ph
keywords quenchedchiralcomputecurrentepsilon-regimefunctionslow-energymasses
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate a new numerical procedure to compute fermionic correlation functions at very small quark masses. Large statistical fluctuations, due to the presence of local ``bumps'' in the wave functions associated with the low-lying eigenmodes of the Dirac operator, are reduced by an exact low-mode averaging. To demonstrate the feasibility of the technique, we compute the two-point correlator of the left-handed vector current with Neuberger fermions in the quenched approximation, for lattices with a linear extent of L~1.5 fm, a lattice spacing a~0.09 fm, and quark masses down to the epsilon-regime. By matching the results with the corresponding (quenched) chiral perturbation theory expressions, an estimate of (quenched) low-energy constants can be obtained. We find agreement between the quenched values of F extrapolated from the p-regime and extracted in the epsilon-regime.

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Cited by 6 Pith papers

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

  1. Higher-order hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD

    hep-lat 2026-03 conditional novelty 9.0 of 10

    Lattice QCD yields the NLO HVP contribution to muon g-2 as -101.57(26)stat(54)syst ×10^{-11}, 1.4σ below the 2025 White Paper estimate and twice as precise.

  2. The Neutron Electric Dipole Moment from Lattice QCD using a Background Electric Field

    hep-lat 2026-07 conditional novelty 7.0 of 10

    Using background electric fields, local topological charge, and non-Hermitian GEVP, lattice QCD yields dn = -0.0050(4)stat(8)sys θ-bar e fm at the physical point.

  3. The running of the electroweak gauge couplings from first principles

    hep-lat 2026-07 accept novelty 6.5 of 10

    Lattice QCD plus pQCD matching yields Δα_had^(5)(M_Z²)=0.027821(34)lat(35)pQCD at 0.17% precision and a up-to-7σ tension with e+e- data near 1 GeV².

  4. Machine-learning techniques as noise reduction strategies in lattice calculations of the muon $g-2$

    hep-lat 2025-02 conditional novelty 6.0 of 10

    Machine-learned approximate correlators with bias correction reduce cost for some isospin corrections by about 50%, but not yet for the rest-eigen part of the HVP vector correlator.

  5. Performance of Low Mode Averaging on Twisted-Mass Fermion Ensembles at the physical pion mass point

    hep-lat 2026-06 unverdicted novelty 4.0 of 10

    Numerical tests show low-mode averaging reduces noise in light meson and baryon observables on physical-pion twisted-mass ensembles, yielding renormalized chiral condensate 269.5(4.5) MeV.

  6. Checks on QED and strong-isospin breaking corrections to $a_{\mu}^{\mathrm{HVP}}$

    hep-lat 2025-02 conditional novelty 4.0 of 10

    New cross-checks using exact derivatives, low-mode averaging, and finer ensembles confirm the earlier BMW QED and strong-isospin breaking corrections to a_mu^HVP.

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