SVD truncation of the exp(-ωt) kernel reconstructs smeared spectral functions from lattice correlators with controlled uncertainties and approaches the Mellin transform in the continuum limit.
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Lattice QCD yields the Ds to Xs l nu inclusive decay rate in agreement with experiment after full chiral and continuum extrapolations, with few-percent total uncertainty.
The authors extend Bergamaschi et al.'s Nevanlinna-Pick interpolation approach by studying error propagation in a simplified multiparticle spectral function example for applications to inclusive heavy-particle decays in lattice QCD.
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Spectral reconstruction from Euclidean lattice correlators through singular value decomposition
SVD truncation of the exp(-ωt) kernel reconstructs smeared spectral functions from lattice correlators with controlled uncertainties and approaches the Mellin transform in the continuum limit.
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Inclusive semileptonic $D_s\to X_s\ell\bar\nu$ decays from lattice QCD: continuum and chiral extrapolation
Lattice QCD yields the Ds to Xs l nu inclusive decay rate in agreement with experiment after full chiral and continuum extrapolations, with few-percent total uncertainty.
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Nevanlinna-Pick interpolation from uncertain data
The authors extend Bergamaschi et al.'s Nevanlinna-Pick interpolation approach by studying error propagation in a simplified multiparticle spectral function example for applications to inclusive heavy-particle decays in lattice QCD.