Nevanlinna-Pick interpolation from uncertain data

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Hauptverfasser: Fields, Sarah, Christ, Norman
Format: Preprint
Veröffentlicht: 2025
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author Fields, Sarah
Christ, Norman
author_facet Fields, Sarah
Christ, Norman
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_12136
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nevanlinna-Pick interpolation from uncertain data
Fields, Sarah
Christ, Norman
High Energy Physics - Lattice
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.
title Nevanlinna-Pick interpolation from uncertain data
topic High Energy Physics - Lattice
url https://arxiv.org/abs/2510.12136