Lattice QCD strategy interpolates sub-physical mass data with OPE to obtain the inclusive anti-B_s to X_sc l nu decay rate, yielding 7% precision on limited ETMC ensembles via a new four-point correlator method.
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From deep inelastic scattering to heavy-flavor semi-leptonic decays: Total rates into multi-hadron final states from lattice QCD
10 Pith papers cite this work, alongside 109 external citations. Polarity classification is still indexing.
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abstract
We present a new technique for extracting decay and transition rates into final states with any number of hadrons. The approach is only sensitive to total rates, in which all out-states with a given set of QCD quantum numbers are included. For processes involving photons or leptons, differential rates with respect to the non-hadronic kinematics may also be extracted. Our method involves constructing a finite-volume Euclidean four-point function, whose corresponding spectral function measures the decay and transition rates in the infinite-volume limit. This requires solving the inverse problem of extracting the spectral function from the correlator and also necessitates a smoothing procedure so that a well-defined infinite-volume limit exists. Both of these steps are accomplished by the Backus-Gilbert method and, as we show with a numerical example, reasonable precision can be expected in cases with multiple open decay channels. Potential applications include nucleon structure functions and the onset of the deep inelastic scattering regime, as well as semi-leptonic $D$ and $B$ decay rates.
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A hierarchy of semidefinite programs provides rigorous bounds on spectral density functionals from Monte Carlo data subject to reflection positivity, converging to statistical error limits.
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.
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
In gauge-free quark models, quasi-PDFs converge to PDFs with proven sum rules, and the Covariant Parton Model supplies closed-form small-x results that match a Wandzura-Wilczek approximation for the quark energy-momentum tensor form factor.
Alternative truncation-based procedure for smeared spectral density extraction from lattice correlators using SVD-style decomposition to decouple noise from signal.
A kernel-derived orthogonal basis enables controlled approximation of spectral functions and low-energy transport coefficients from Euclidean correlators without priors.
A sampling-based extension of Nevanlinna–Pick interpolation propagates lattice uncertainties into an error estimate that shrinks as more Euclidean data points are added.
Framework for exact and approximate kernel transformations between smeared spectral functions, including systematic error bounds computable from input data.
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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Inclusive $\bar B_s\mapsto X_{\bar sc} \ell \bar \nu$ decays from lattice QCD: computational strategy and a first physical result
Lattice QCD strategy interpolates sub-physical mass data with OPE to obtain the inclusive anti-B_s to X_sc l nu decay rate, yielding 7% precision on limited ETMC ensembles via a new four-point correlator method.
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Certified spectral functions from lattice Monte Carlo data
A hierarchy of semidefinite programs provides rigorous bounds on spectral density functionals from Monte Carlo data subject to reflection positivity, converging to statistical error limits.
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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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Elastic and resonance structures of the nucleon from hadronic tensor in lattice QCD: implications for neutrino-nucleon scattering and hadron physics
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
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Quasi Parton Distribution Functions in Covariant Quark Models
In gauge-free quark models, quasi-PDFs converge to PDFs with proven sum rules, and the Covariant Parton Model supplies closed-form small-x results that match a Wandzura-Wilczek approximation for the quark energy-momentum tensor form factor.
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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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A kernel-derived orthogonal basis for spectral functions from Euclidean correlators
A kernel-derived orthogonal basis enables controlled approximation of spectral functions and low-energy transport coefficients from Euclidean correlators without priors.
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Nevanlinna-Pick interpolation from uncertain data
A sampling-based extension of Nevanlinna–Pick interpolation propagates lattice uncertainties into an error estimate that shrinks as more Euclidean data points are added.
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Framework for exact and approximate kernel transformations between smeared spectral functions, including systematic error bounds computable from input data.
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