Model Selection for Pion Photoproduction

Abstract

Partial-wave analysis of meson and photon-induced reactions is needed to enable the comparison of many theoretical approaches to data. In both energy-dependent and independent parametrizations of partial waves, the selection of the model amplitude is crucial. Principles of the $S$-matrix are implemented to different degree in different approaches, but a many times overlooked aspect concerns the selection of undetermined coefficients and functional forms for fitting, leading to a minimal yet sufficient parametrization. We present an analysis of low-energy neutral pion photoproduction using the Least Absolute Shrinkage and Selection Operator (LASSO) in combination with criteria from information theory and $K$-fold cross validation. These methods are not yet widely known in the analysis of excited hadrons but will become relevant in the era of precision spectroscopy. The principle is first illustrated with synthetic data, then, its feasibility for real data is demonstrated by analyzing the latest available measurements of differential cross sections ($d\sigma /d\Omega$), photon-beam asymmetries ($\Sigma$), and target asymmetry differential cross sections ($d{\sigma }_T/d\Omega$) in the low energy regime.

14 pages, 9 figures, after acceptance

References in corpus (60)

• The COMPASS Experiment at CERN
• Unitary Isobar Model - MAID2007
• Properties of baryon resonances from a multichannel partial wave analysis
• Quantifying truncation errors in effective field theory
• Nucleon resonances within a dynamical coupled-channels model of pi N and gamma N reactions
• Iterative Monte Carlo analysis of spin-dependent parton distributions
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Photo- and Electroproduction of Eta Mesons
• Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
• Bayesian parameter estimation for effective field theories
• Unified Chew-Mandelstam SAID analysis of pion photoproduction data
• Nonstrange and other unitarity partners of the exotic Theta+ baryon
• Photon- and pion-nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian
• Eta photoproduction in a combined analysis of pion- and photon-induced reactions
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Dynamical Coupled-Channels Effects on Pion Photoproduction
• Studying the P_c(4450) resonance in J/psi photoproduction off protons
• Photocouplings at the Pole from Pion Photoproduction
• Threshold Pion Electroproduction in Chiral Perturbation Theory
• Issues and Opportunities in Exotic Hadrons
• Test of low-energy theorems for p(\vec{gamma},π^{0})p in the threshold region
• Finite volume effects in pion-kaon scattering and reconstruction of the kappa(800) resonance
• Pion photoproduction in a dynamical coupled-channels model
• Isospin breaking in the pion-nucleon scattering lengths
• Chiral symmetry and the reaction $\gamma p\to {\pi }^{0}p$
• Effective Lagrangian Approach to pion photoproduction from the nucleon
• Coupled-Channel Model for $\bar{K}N$ Scattering in the Resonant Region
• Aspects of near threshold neutral pion photoproduction off protons
• Measurement of pi^0 photoproduction on the proton at MAMI C
• Relevance of complex branch points for partial wave analysis
• Bayesian inference of the resonance content of p(gamma,K^+)Lambda
• Accurate Test of Chiral Dynamics in the \boldmath$\vec{\gamma }p\to {\pi }^{0}p$ Reaction
• A Bayesian analysis of kaon photoproduction with the Regge-plus-resonance model
• The complete experiment for photoproduction of pseudoscalar mesons in a truncated partial wave analysis
• Threshold Two-Pion Photo- and Electroproduction: More neutrals than expected
• Analysis Tools for Next-Generation Hadron Spectroscopy Experiments
• Searching for the rules that govern hadron construction
• The Optical Potential on the Lattice
• Light Quark Mass Difference and Isospin Breaking In Electromagnetic Pion Production
• Singularity structure of the pi N scattering amplitude in a meson-exchange model up to energies W < 2.0 GeV
• Threshold ${\pi }^0$ photoproduction in relativistic chiral perturbation theory
• Neutral Pion Photoproduction in a Regge Model
• Toward Complete Pion Nucleon Amplitudes
• Upper Energy Limit of Heavy Baryon Chiral Perturbation Theory in Neutral Pion Photoproduction
• The Fubini-Furlan-Rosetti sum rule and related aspects in light of covariant baryon chiral perturbation theory
• Double neutral pion photoproduction at threshold
• Unexpected impact of D waves in low-energy neutral pion photoproduction from the proton and the extraction of multipoles
• Model selection for amplitude analysis
• $\Delta (1232)$ resonance in the $\vec{\gamma }p\to p{\pi }^0$ reaction at threshold
• Chiral Dynamics in Photo-Pion Physics: Theory, Experiment, and Future Studies at the HI$\gamma$S Facility
• Correlations of $\mathbf{\pi N}$ Partial Waves for Multi-Reaction Analyses
• Backward pion photoproduction
• Low-Energy D-Wave Effects in Neutral Pion Photoproduction
• Crossing symmetry and phenomenological widths in effective Lagrangian models of the pion photoproduction process
• Model discrimination in pseudoscalar-meson photoproduction
• The KLOE-2 experiment at DAFNE
• A precision measurement of the $p$($e,e^{\prime }p$)${\pi }^0$ reaction at threshold
• New Analysis of Threshold Photoproduction Data from MAMI
• The Joint Physics Analysis Center: Recent results

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• Three-body Unitarity in the Finite Volume
• Amplitude analysis and the nature of the Zc(3900)
• The impact of ${\mathbf{K}}^{+}\mathbf{\Lambda }$ photoproduction on the resonance spectrum
• Novel approaches in Hadron Spectroscopy
• Hidden charm pentaquarks: mass spectrum, magnetic moments, and photocouplings
• Light baryon resonances from a coupled-channel study including $\mathbf{K\Sigma }$ photoproduction
• Towards the Minimal Spectrum of Excited Baryons
• Deep Learning Exotic Hadrons
• Coupled-channel analysis of pion- and eta-electroproduction with the Jülich-Bonn-Washington model
• New analysis of $\eta \pi$ tensor resonances measured at the COMPASS experiment
• Charmonium spectrum with a Dirac potential model in the momentum space
• Model selection for $K^{+}{\Sigma }^{-}$ photoproduction within isobar model
• Fixed-t analyticity as a constraint in single energy partial wave analyses of meson photoproduction reactions
• ${\pi }^{-}p\to {\eta }^{(\prime )}{\pi }^{-}p$ in the double-Regge region
• Structure of Pion Photoproduction Amplitudes
• Regge phenomenology of the $N^{\ast }$ and ${\Delta }^{\ast }$ poles
• Bottomonium spectrum with a Dirac potential model in the momentum space
• Amplitude- and truncated partial-wave analyses combined: A novel, almost theory-independent single-channel method for extracting photoproduction multipoles directly from measured data
• Ridge regression for minimizing the couplings of hyperon resonances in the $K^{+}\Lambda$ photoproduction
• The role of meson interactions in the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ decay
• Quark mass dependence of the low-lying charmed mesons at one loop in HH$\chi$PT
• Pentaquark photoproduction
• Coupled-channel contributions to the GDH sum rule from the Jülich-Bonn approach