Abstract
A problem of a new physical model test given observed experimental data is a typical one for modern experiments of high energy physics (HEP). A solution of the problem may be provided with two alternative statistical formalisms, namely frequentist and Bayesian, which are widely spread in contemporary HEP searches. A characteristic experimental situation is modeled from general considerations and both the approaches are utilized in order to test a new model. The results are juxtaposed, what demonstrates their consistency in this work. An effect of a systematic uncertainty treatment in the statistical analysis is also considered.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. Gusev, V. Kotlyar, V. Kukhtenkov, E. Popova, N. Savin, and A. Soldatov, “WLCG Tier-2 computing infrastructure at IHEP,” in Proceedings of the 5th International Conference on Distributed Computing and Grid-Technologies in Science and Education, Dubna (JINR, 2012), pp. 150–157.
M. Baak, G. J. Besjes, D. Côté, A. Koutsman, J. Lorenz, and D. Short, “HistFitter software framework for statistical data analysis,” Eur. Phys. J. C 75, 153 (2015).
A. Caldwell, D. Kollar, and K. Kroninger, “BAT: the Bayesian analysis toolkit,” Comput. Phys. Commun. 180, 2197–2209 (2009).
A. Stuart and K. Ord, Kendall’s Advanced Theory of Statistics, Vol. 1: Distribution Theory (Wiley-Blackwell, 1994).
A. Stuart, K. Ord, and S. Arnold, Kendall’s Advanced Theory of Statistics, Vol. 2A: Classical Inference and the Linear Models (Wiley-Blackwell, Chichester, 1999).
A. O’Hagan and J. Foster, Kendall’s Advanced Theory of Statistics, Vol. 2B: Bayesian Inference (Wiley-Blackwell, 2004).
W. Verkerke and D. P. Kirkby, “The RooFit toolkit for data modeling,” in Proceedings of the Conference Statistical Problems in Particle Physics, Astrophysics, and Cosmology, PHYSTAT05, Oxford, UK, Sept. 12–15, 2005, eConf C0303241, 186–189 (2003).
G. Cowan, K. Cranmer, E. Gross, and O. Vitells, “Asymptotic formulae for likelihood-based tests of new physics,” Eur. Phys. J. C 71, 1554 (2011); Eur. Phys. J. C 73, 2501(E) (2013).
A. L. Read, “Presentation of search results: the CL(s) technique,” in Proceedings of the Conference on Advanced Statistical Techniques in Particle Physics, Durham, UK, March 18–22, 2002, J. Phys. G 28, 2693–2704 (2002).
K. Cranmer, “Practical statistics for the LHC,” in Proceedings of the 2011 European School of High-Energy Physics ESHEP 2011 (2014), pp. 267–308.
L. Moneta, K. Belasco, K. Cranmer, S. Kreiss, A. Lazzaro, D. Piparo, G. Schott, W. Verkerke, and M. Wolf, “The RooStats project,” in Proceedings of the 13th International Workshop on Advanced Computing and Analysis Techniques in Physics Research ACAT2010, PoS(ACAT2010) 057.
G. Schott, “Hypothesis testing,” in Data Analysis in High Energy Physics: A Practical Guide to Statistical Methods, Ed. by O. Behnke, K. Kröninger, Th. Schörner-Sadenius, and G. Schott (Wiley-VCH, Weinheim, Germany, 2013), pp. 75–105.
H. B. Prosper, “Applications in astronomy,” in Data Analysis in High Energy Physics: A Practical Guide to Statistical Methods, Ed. by O. Behnke, K. Kröninger, Th. Schörner-Sadenius, and G. Schott (Wiley-VCH, Weinheim, Germany, 2013), pp. 381–407.
R. Trotta, “Bayes in the sky: Bayesian inference and model selection in cosmology,” Contemp. Phys. 49, 71–104 (2008).
R. Wanke, “How to deal with systematic uncertainties,” in Data Analysis in High Energy Physics: A Practical Guide to Statistical Methods, Ed. by O. Behnke, K. Kröninger, Th. Schörner-Sadenius, and G. Schott (Wiley-VCH, Weinheim, Germany, 2013), pp. 263–296.
D. S. Sivia, “Dealing with systematics and setting limits,” in Proceedings of the IN2P3 School of Statistics SOS 2012, Autrans, France, May 28–June 1, 2012, EPJ Web Conf. 55, 01002 (2013).
J. Heinrich and L. Lyons, “Systematic errors,” Ann. Rev. Nucl. Part. Sci. 57, 145–169 (2007).
M. Diehl, “Theory uncertainties,” in Data Analysis in High Energy Physics: A Practical Guide to Statistical Methods, Ed. by O. Behnke, K. Kröninger, Th. Schörner-Sadenius, and G. Schott (Wiley-VCH, Weinheim, Germany, 2013), pp. 297–328.
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Kamenshchikov, A. A new model test in high energy physics in frequentist and Bayesian statistical formalisms. Phys. Part. Nuclei Lett. 14, 227–238 (2017). https://doi.org/10.1134/S1547477117010137
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1547477117010137