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

Simon Kuberski

2024Computer Physics Communications18 citationsDOIOpen Access PDF

Abstract

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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DeflationLattice (music)Lattice QCDQuantum chromodynamicsPhysicsMode (computer interface)MathematicsStatistical physicsParticle physicsComputer scienceEconomicsKeynesian economicsMonetary policyAcousticsOperating systemQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions Research
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