Proton Structure from Neural Simulation-Based Inference at the LHC

Fuente: arXiv
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Autores principales: Barrué, Ricardo, Benato, Lisa, Güven, Ali Kaan, Hammou, Elie, ter Hoeve, Jaco, Krause, Claudius, Li, Ang, Mantani, Luca, Rojo, Juan, Cruz, Sergio Sánchez, Schöfbeck, Robert, Ubiali, Maria, Wang, Daohan
Formato: Preprint
Publicado: 2026
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author Barrué, Ricardo
Benato, Lisa
Güven, Ali Kaan
Hammou, Elie
ter Hoeve, Jaco
Krause, Claudius
Li, Ang
Mantani, Luca
Rojo, Juan
Cruz, Sergio Sánchez
Schöfbeck, Robert
Ubiali, Maria
Wang, Daohan
author_facet Barrué, Ricardo
Benato, Lisa
Güven, Ali Kaan
Hammou, Elie
ter Hoeve, Jaco
Krause, Claudius
Li, Ang
Mantani, Luca
Rojo, Juan
Cruz, Sergio Sánchez
Schöfbeck, Robert
Ubiali, Maria
Wang, Daohan
contents The precise determination of the parton distribution functions (PDFs) of the proton is an essential ingredient for LHC analyses, including for those at the upcoming High-Luminosity LHC. So far, PDFs are determined from global fits to binned low-dimensional data obtained from unfolded hard-scattering cross section measurements. In this work we demonstrate for the first time the feasibility of neural simulation-based inference (NSBI) for constraining the proton PDFs using a high-dimensional unbinned data set. Exploiting the full statistical power of unbinned data removes the loss of information inherited by the binning procedure. As a proof-of-concept, we determine the gluon PDF from simulated data of top quark pair production at the LHC with $\sqrt{s}=13$ TeV. Taking into account both experimental and theoretical systematic uncertainties in the detector-level features, we demonstrate how the NSBI pipeline achieves significant improvements in precision compared to existing low-dimensional binned analyses. Our results illustrate the potential of unbinned inference to reduce the reliance on coarse approximations of uncertainties and their correlations entering PDF determinations, hence contributing to a new paradigm of unbinned detector-level ML-assisted measurements at the LHC.
format Preprint
id arxiv_https___arxiv_org_abs_2604_13157
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Proton Structure from Neural Simulation-Based Inference at the LHC
Barrué, Ricardo
Benato, Lisa
Güven, Ali Kaan
Hammou, Elie
ter Hoeve, Jaco
Krause, Claudius
Li, Ang
Mantani, Luca
Rojo, Juan
Cruz, Sergio Sánchez
Schöfbeck, Robert
Ubiali, Maria
Wang, Daohan
High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Experiment
Nuclear Theory
The precise determination of the parton distribution functions (PDFs) of the proton is an essential ingredient for LHC analyses, including for those at the upcoming High-Luminosity LHC. So far, PDFs are determined from global fits to binned low-dimensional data obtained from unfolded hard-scattering cross section measurements. In this work we demonstrate for the first time the feasibility of neural simulation-based inference (NSBI) for constraining the proton PDFs using a high-dimensional unbinned data set. Exploiting the full statistical power of unbinned data removes the loss of information inherited by the binning procedure. As a proof-of-concept, we determine the gluon PDF from simulated data of top quark pair production at the LHC with $\sqrt{s}=13$ TeV. Taking into account both experimental and theoretical systematic uncertainties in the detector-level features, we demonstrate how the NSBI pipeline achieves significant improvements in precision compared to existing low-dimensional binned analyses. Our results illustrate the potential of unbinned inference to reduce the reliance on coarse approximations of uncertainties and their correlations entering PDF determinations, hence contributing to a new paradigm of unbinned detector-level ML-assisted measurements at the LHC.
title Proton Structure from Neural Simulation-Based Inference at the LHC
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Experiment
Nuclear Theory
url https://arxiv.org/abs/2604.13157