Nevanlinna-Pick interpolation from uncertain data

2025/10/14 by Fields, Sarah, Christ, Norman
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.2510.12136

Abstract

The calculation of inclusive processes that involve the production of many particles is a challenge for lattice QCD, a Euclidean-space method that is far removed from real-time, multiparticle production. A new approach to this problem based on Nevanlinna-Pick interpolation has been proposed by Bergamaschi et al. Here we extend their method by exploring the propagation of the statistical and systematic errors that accompany a lattice QCD calculation through this interpolation process. A simplified example of a multiparticle spectral function is studied with a focus on the possible applications of these methods to the calculation of inclusive heavy-particle decays.

Citations

• Moment problems and bounds for matrix-valued smeared spectral functions
• Bayesian Analysis and Analytic Continuation of Scattering Amplitudes from Lattice QCD
• Approaches to the Inverse Problem
• Bayesian solution to the inverse problem and its relation to Backus-Gilbert methods
• Spectral densities from Euclidean lattice correlators via the Mellin transform
• Scattering Amplitudes from Euclidean Correlators: Haag-Ruelle theory and approximation formulae
• Hadronic Structure, Conformal Maps, and Analytic Continuation

Related

• Inclusive processes from lattice QCD: problems and opportunities
• Approaching the Inverse Problem: Toward Lattice QCD Calculations of Inclusive Hadronic Quantities
• Efficient computation of baryon interpolating fields in Lattice QCD
• Bayesian Analysis and Analytic Continuation of Scattering Amplitudes from Lattice QCD
• Group-theoretical construction of finite-momentum and multi-particle\n operators for lattice hadron spectroscopy