VAIM-CFF: A variational autoencoder inverse mapper solution to Compton form factor extraction from deeply virtual exclusive reactions

Fuente: arXiv
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Main Authors: Almaeen, Manal, Alghamdi, Tareq, Kriesten, Brandon, Adams, Douglas, Li, Yaohang, Lin, Huey-Wen, Liuti, Simonetta
Format: Preprint
Published: 2024
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author Almaeen, Manal
Alghamdi, Tareq
Kriesten, Brandon
Adams, Douglas
Li, Yaohang
Lin, Huey-Wen
Liuti, Simonetta
author_facet Almaeen, Manal
Alghamdi, Tareq
Kriesten, Brandon
Adams, Douglas
Li, Yaohang
Lin, Huey-Wen
Liuti, Simonetta
contents We develop a new methodology for extracting Compton form factors (CFFs) in from deeply virtual exclusive reactions such as the unpolarized DVCS cross section using a specialized inverse problem solver, a variational autoencoder inverse mapper (VAIM). The VAIM-CFF framework not only allows us access to a fitted solution set possibly containing multiple solutions in the extraction of all 8 CFFs from a single cross section measurement, but also accesses the lost information contained in the forward mapping from CFFs to cross section. We investigate various assumptions and their effects on the predicted CFFs such as cross section organization, number of extracted CFFs, use of uncertainty quantification technique, and inclusion of prior physics information. We then use dimensionality reduction techniques such as principal component analysis to visualize the missing physics information tracked in the latent space of the VAIM framework. Through re-framing the extraction of CFFs as an inverse problem, we gain access to fundamental properties of the problem not comprehensible in standard fitting methodologies: exploring the limits of the information encoded in deeply virtual exclusive experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2405_05826
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle VAIM-CFF: A variational autoencoder inverse mapper solution to Compton form factor extraction from deeply virtual exclusive reactions
Almaeen, Manal
Alghamdi, Tareq
Kriesten, Brandon
Adams, Douglas
Li, Yaohang
Lin, Huey-Wen
Liuti, Simonetta
High Energy Physics - Phenomenology
High Energy Physics - Lattice
We develop a new methodology for extracting Compton form factors (CFFs) in from deeply virtual exclusive reactions such as the unpolarized DVCS cross section using a specialized inverse problem solver, a variational autoencoder inverse mapper (VAIM). The VAIM-CFF framework not only allows us access to a fitted solution set possibly containing multiple solutions in the extraction of all 8 CFFs from a single cross section measurement, but also accesses the lost information contained in the forward mapping from CFFs to cross section. We investigate various assumptions and their effects on the predicted CFFs such as cross section organization, number of extracted CFFs, use of uncertainty quantification technique, and inclusion of prior physics information. We then use dimensionality reduction techniques such as principal component analysis to visualize the missing physics information tracked in the latent space of the VAIM framework. Through re-framing the extraction of CFFs as an inverse problem, we gain access to fundamental properties of the problem not comprehensible in standard fitting methodologies: exploring the limits of the information encoded in deeply virtual exclusive experiments.
title VAIM-CFF: A variational autoencoder inverse mapper solution to Compton form factor extraction from deeply virtual exclusive reactions
topic High Energy Physics - Phenomenology
High Energy Physics - Lattice
url https://arxiv.org/abs/2405.05826