Block Lanczos is shown to generalize the GEVP method for lattice QCD correlator matrices, providing faster convergence, two-sided error bounds, and improved signal-to-noise.
Electroweak Transitions Involving Resonances
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abstract
The increasing importance of hadronic resonances in our understanding of the Standard Model is underscored by recent advancements in lattice Quantum Chromodynamics (QCD) calculations. We review recent developments, with a particular emphasis on electroweak transitions that result in two-hadron final states. Additionally, we present the finite-volume lattice QCD methodologies that are pivotal in such studies in the context of preliminary results from the $B\to \pi\pi\ell\bar{\nu}$.
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Block Lanczos algorithm for lattice QCD spectroscopy and matrix elements
Block Lanczos is shown to generalize the GEVP method for lattice QCD correlator matrices, providing faster convergence, two-sided error bounds, and improved signal-to-noise.