We address the issue of unbiased model selection and propose a methodology based on Bayesian inference to extract physical information from kaon photoproduction γp→K+Λ data. We use the single-channel Regge-plus-resonance (RPR) framework for γp→K+Λ to illustrate the proposed strategy. The Bayesian evidence Z is a quantitative measure for the model's fitness given the world's data. We present a numerical method for performing the multidimensional integrals in the expression for the Bayesian evidence. We use the γp→K+Λ data with an invariant energy W>2.6 GeV in order to constrain the background contributions in the RPR framework with Bayesian inference. Next, the resonance information is extracted from the analysis of differential cross sections and single- and double-polarization observables. This background and resonance content constitutes the basis of a model, which is coined RPR-2011. It is shown that RPR-2011 yields a comprehensive account of the kaon photoproduction data and provides reasonable predictions for e+p→e′+K++Λ observables.
De Cruz, L, Ryckebusch, J, Vrancx, T & Vancraeyveld, P 2012, 'Bayesian analysis of kaon photoproduction with the Regge-plus-resonance model', Physical Review C, vol. 86, no. 1, 015212, pp. 19. <http://dx.doi.org/10.1103/PhysRevC.86.015212>
De Cruz, L., Ryckebusch, J., Vrancx, T., & Vancraeyveld, P. (2012). Bayesian analysis of kaon photoproduction with the Regge-plus-resonance model. Physical Review C, 86(1), 19. Article 015212. http://dx.doi.org/10.1103/PhysRevC.86.015212
@article{95de00f25ae34e7c942cdf854af2717d,
title = "Bayesian analysis of kaon photoproduction with the Regge-plus-resonance model",
abstract = "We address the issue of unbiased model selection and propose a methodology based on Bayesian inference to extract physical information from kaon photoproduction γp→K+Λ data. We use the single-channel Regge-plus-resonance (RPR) framework for γp→K+Λ to illustrate the proposed strategy. The Bayesian evidence Z is a quantitative measure for the model's fitness given the world's data. We present a numerical method for performing the multidimensional integrals in the expression for the Bayesian evidence. We use the γp→K+Λ data with an invariant energy W>2.6 GeV in order to constrain the background contributions in the RPR framework with Bayesian inference. Next, the resonance information is extracted from the analysis of differential cross sections and single- and double-polarization observables. This background and resonance content constitutes the basis of a model, which is coined RPR-2011. It is shown that RPR-2011 yields a comprehensive account of the kaon photoproduction data and provides reasonable predictions for e+p→e′+K++Λ observables.",
keywords = "ENERGIES, POLARIZATION, ELECTROPRODUCTION, BARYON MASSES, GAMMA-P, PION, OBSERVABLES, ALGORITHM, K&LAMBDA, K+LAMBDA",
author = "{De Cruz}, Lesley and Jan Ryckebusch and Tom Vrancx and Pieter Vancraeyveld",
year = "2012",
language = "English",
volume = "86",
pages = "19",
journal = "Physical Review C",
issn = "0556-2813",
publisher = "American Physical Society",
number = "1",
}