Inferring Interpretable Models of Fragmentation Functions using Symbolic Regression

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Hauptverfasser: Makke, Nour, Chawla, Sanjay
Format: Preprint
Veröffentlicht: 2025
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author Makke, Nour
Chawla, Sanjay
author_facet Makke, Nour
Chawla, Sanjay
contents Machine learning is rapidly making its path into natural sciences, including high-energy physics. We present the first study that infers, directly from experimental data, a functional form of fragmentation functions. The latter represent a key ingredient to describe physical observables measured in high-energy physics processes that involve hadron production, and predict their values at different energy. Fragmentation functions can not be calculated in theory and have to be determined instead from data. Traditional approaches rely on global fits of experimental data using a pre-assumed functional form inspired from phenomenological models to learn its parameters. This novel approach uses a ML technique, namely symbolic regression, to learn an analytical model from measured charged hadron multiplicities. The function learned by symbolic regression resembles the Lund string function and describes the data well, thus representing a potential candidate for use in global FFs fits. This study represents an approach to follow in such QCD-related phenomenology studies and more generally in sciences.
format Preprint
id arxiv_https___arxiv_org_abs_2501_07123
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Inferring Interpretable Models of Fragmentation Functions using Symbolic Regression
Makke, Nour
Chawla, Sanjay
High Energy Physics - Phenomenology
Machine Learning
Symbolic Computation
High Energy Physics - Theory
Machine learning is rapidly making its path into natural sciences, including high-energy physics. We present the first study that infers, directly from experimental data, a functional form of fragmentation functions. The latter represent a key ingredient to describe physical observables measured in high-energy physics processes that involve hadron production, and predict their values at different energy. Fragmentation functions can not be calculated in theory and have to be determined instead from data. Traditional approaches rely on global fits of experimental data using a pre-assumed functional form inspired from phenomenological models to learn its parameters. This novel approach uses a ML technique, namely symbolic regression, to learn an analytical model from measured charged hadron multiplicities. The function learned by symbolic regression resembles the Lund string function and describes the data well, thus representing a potential candidate for use in global FFs fits. This study represents an approach to follow in such QCD-related phenomenology studies and more generally in sciences.
title Inferring Interpretable Models of Fragmentation Functions using Symbolic Regression
topic High Energy Physics - Phenomenology
Machine Learning
Symbolic Computation
High Energy Physics - Theory
url https://arxiv.org/abs/2501.07123