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Low-mode deflation for twisted-mass and RHMC reweighting in lattice QCD

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arxiv 2306.02385 v2 pith:YMH5U2BJ submitted 2023-06-04 hep-lat

classification hep-lat
keywords reweightingquarkfactorsimprovedlatticelightoperatorrhmc
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose improved estimators to compute the reweighting factors which are needed for lattice QCD calculations that rely on twisted-mass reweighting for the light quark contribution and the Rational Hybrid Monte Carlo (RHMC) algorithm for non-degenerate quark masses. This is the case for a number of modern large-scale simulations based on O(a) improved Wilson fermions. We find a significant reduction of uncertainties for the reweighting factors at similar computational cost compared to the conventional estimation. This leads to a significant increase in precision for phenomenologically relevant observables with high correlation to the low eigenmodes of the Wilson-Dirac operator in the presence of exceptionally small eigenvalues. Supplementary details regarding the spectral gap of the light quark Dirac operator on the 2+1 flavor large-volume ensembles explored in this study can be found in an accompanying appendix.

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Cited by 2 Pith papers

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

  1. 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.

  2. The hadronic contribution to the running of $\alpha$ and the electroweak mixing angle

    hep-lat 2025-02 conditional novelty 5.0 of 10

    A lattice QCD update computes the high-energy window of the hadronic vacuum polarization for the running of α and sin²θ_W with improved control of discretization errors.

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