The causal bootstrap computes rigorous bounds on smeared spectral functions from non-perturbative Euclidean data by optimizing over the convex set of compatible positive spectral densities and reducing dual problems to semidefinite programs for certain kernels.
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Derives analytic integral-transform formulae to extract continuum and smeared spectral densities from Euclidean correlators, with O(a^2) lattice convergence and rigorous bounds for finite-volume effects.
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.
Alternative truncation-based procedure for smeared spectral density extraction from lattice correlators using SVD-style decomposition to decouple noise from signal.
The updated SM prediction for the muon anomalous magnetic moment is 116592033(62)×10^{-11}, showing no tension with the experimental average of 38(63)×10^{-11}.
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The Causal Bootstrap: Bounding Smeared Spectral Functions from Non-Perturbative Euclidean Data
The causal bootstrap computes rigorous bounds on smeared spectral functions from non-perturbative Euclidean data by optimizing over the convex set of compatible positive spectral densities and reducing dual problems to semidefinite programs for certain kernels.
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Spectral densities from Euclidean correlators via integral transforms: theoretical framework
Derives analytic integral-transform formulae to extract continuum and smeared spectral densities from Euclidean correlators, with O(a^2) lattice convergence and rigorous bounds for finite-volume effects.
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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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Extraction of spectral densities from lattice correlators: decoupling signal from noise
Alternative truncation-based procedure for smeared spectral density extraction from lattice correlators using SVD-style decomposition to decouple noise from signal.
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The anomalous magnetic moment of the muon in the Standard Model: an update
The updated SM prediction for the muon anomalous magnetic moment is 116592033(62)×10^{-11}, showing no tension with the experimental average of 38(63)×10^{-11}.
- Nevanlinna-Pick interpolation from uncertain data