First complete lattice QCD determination of the four structure-dependent form factors for K- → ℓ- ν̄ℓ ℓ'+ ℓ'- decays at physical quark masses with controlled statistical and systematic errors.
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Spectral-function determination of complex electroweak amplitudes with lattice QCD
10 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We present a novel method to determine on the lattice both the real and imaginary parts of complex electroweak amplitudes involving two external currents and a single hadron or the QCD vacuum in the external states. The method is based on the spectral representation of the relevant time-dependent correlation functions and, by extending the range of applicability of other recent proposals built on the same techniques, overcomes the difficulties related to the analytic continuation from Minkowskian to Euclidean time, arising when intermediate states with energies smaller than the external states contribute to the amplitude. In its simplest form, the method relies on the standard $i \varepsilon$ prescription to regularize the Feynman integrals and at finite $\varepsilon$ it requires to verify the condition $1/L \ll \varepsilon \ll \Delta(E)$, where $L$ is the spatial extent of the lattice and, for any given energy $E$, $\Delta(E)$ represents the typical size of the interval around $E$ in which the hadronic amplitude is significantly varying. In order to illustrate the effectiveness of this approach in a realistic case, we apply the method to evaluate non-perturbatively the hadronic amplitude contributing to the radiative leptonic decay $D_s \to\ell\nu_\ell\,\gamma^*$, working for simplicity with a single lattice ensemble at fixed volume and lattice spacing.
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representative citing papers
Lattice QCD supplies Standard Model branching-fraction predictions for all four K to l nu l' l' channels with controlled uncertainties of 2-7 percent, consistent with published data and preliminary NA62 results.
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Complete lattice QCD calculation of $K^{-}\to \ell^{-}\bar{\nu}_{\ell}\ell^{'+}\ell^{'-}$ form factors
First complete lattice QCD determination of the four structure-dependent form factors for K- → ℓ- ν̄ℓ ℓ'+ ℓ'- decays at physical quark masses with controlled statistical and systematic errors.
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Rare kaon decays $K^- \to \ell^- \bar{\nu}_\ell \ell'^{+} \ell'^{-}$: Standard Model predictions from lattice QCD
Lattice QCD supplies Standard Model branching-fraction predictions for all four K to l nu l' l' channels with controlled uncertainties of 2-7 percent, consistent with published data and preliminary NA62 results.
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Real-time topological rate at non-zero momentum in quenched QCD
A first-principles lattice calculation in quenched QCD extracts the momentum-dependent topological rate and finds approximate linear growth of the on-shell rate with momentum.
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Standard Model tests with smeared experiment and theory
Finite-width Poisson smearing of both experiment and lattice theory permits model-independent Standard Model comparisons for inclusive semileptonic decays and for interference observables in rare semileptonic decays, sidestepping the epsilon-to-zero extrapolation.
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Long distance contributions to neutral $D$-meson mixing from lattice QCD
The authors propose and analyze a spectral-reconstruction method for lattice QCD that could determine the long-distance contributions to D0-Dbar0 mixing parameters x and y from first principles.
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Isospin-breaking effects in inclusive hadronic $\tau$ data for the muon $(g-2)$ from first principles
A lattice QCD+QED strategy is outlined for calculating isospin-breaking effects in inclusive tau decays to support high-precision HVP contributions to muon g-2.
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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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Can Large Vision-Language Models Understand Multimodal Sarcasm?
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The Semileptonic B Frontier: LHC, B-factories, Lattice QCD & the Hunt for Precision
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Smeared spectral functions from lattice QCD: opportunities and challenges
A review of lattice QCD methods for computing smeared spectral functions, covering their opportunities (inclusive decays, hadronic amplitudes) and fundamental limitations from the ill-posed inverse problem.