We present the results of a Bayesian analysis of a Regge model to describe the background contribution for K+Λ and K+Σ0 photoproduction. The model is based on the exchange of K+(494) and K*+(892) trajectories in the t-channel. We utilise the Bayesian evidence Z to determine the best model variant for each channel. The Bayesian evidence integrals were calculated using the Nested Sampling algorithm. For different prior widths, we find decisive Bayesian evidence (ΔlnZ≈24) for a K+Λ photoproduction Regge model with a positive vector coupling and a negative tensor coupling constant for the K*+(892) trajectory, and a rotating phase factor for both trajectories. Using the Χ2 minimisation method, one could not draw this conclusion from the same dataset. For the K+Σ0 photoproduction Regge model, on the other hand, the difference between the evidence integrals is insufficient to pinpoint one model variant.
De Cruz, L, Ireland, DG, Vancraeyveld, P & Ryckebusch, J 2010, 'Bayesian model selection for electromagnetic kaon production on the nucleon', Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 694, no. 1, pp. 33-37. https://doi.org/10.1016/j.physletb.2010.09.026
De Cruz, L., Ireland, D. G., Vancraeyveld, P., & Ryckebusch, J. (2010). Bayesian model selection for electromagnetic kaon production on the nucleon. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 694(1), 33-37. https://doi.org/10.1016/j.physletb.2010.09.026
@article{662f72fe21af476f99749d27bd81bc4b,
title = "Bayesian model selection for electromagnetic kaon production on the nucleon",
abstract = "We present the results of a Bayesian analysis of a Regge model to describe the background contribution for K+Λ and K+Σ0 photoproduction. The model is based on the exchange of K+(494) and K*+(892) trajectories in the t-channel. We utilise the Bayesian evidence Z to determine the best model variant for each channel. The Bayesian evidence integrals were calculated using the Nested Sampling algorithm. For different prior widths, we find decisive Bayesian evidence (ΔlnZ≈24) for a K+Λ photoproduction Regge model with a positive vector coupling and a negative tensor coupling constant for the K*+(892) trajectory, and a rotating phase factor for both trajectories. Using the Χ2 minimisation method, one could not draw this conclusion from the same dataset. For the K+Σ0 photoproduction Regge model, on the other hand, the difference between the evidence integrals is insufficient to pinpoint one model variant.",
keywords = "Bayesian inference, Model selection, Regge phenomenology",
author = "{De Cruz}, L. and Ireland, {D. G.} and P. Vancraeyveld and J. Ryckebusch",
year = "2010",
month = oct,
day = "25",
doi = "10.1016/j.physletb.2010.09.026",
language = "English",
volume = "694",
pages = "33--37",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",
number = "1",
}