Reassessing the sensitivity to leptonic CP violation
Entity
UAM. Departamento de Física TeóricaPublisher
Springer VerlagDate
2015-03-02Citation
10.1007/JHEP03(2015)005
Journal of High Energy Physics 2015.3 (2015): 005
ISSN
1126-6708 (print); 1029-8479 (online)DOI
10.1007/JHEP03(2015)005Funded by
We are very grateful to Thomas Schwetz for valuable discussions and encouragement. We warmly thank Peter Ballett for pointing out an inconsistency in the treatment of the systematic errors in the first version of the manuscript, and Pilar Hernández for illuminating discussions. This work was supported by the Goran Gustafsson Foundation [MB] and by the U.S. Department of Energy under award number DE-SC0003915 [PC]. EFM acknowledges financial support by the European Union through the FP7 Marie Curie Actions CIG NeuProbes (PCIG11-GA-2012-321582) and the ITN INVISIBLES (PITN-GA-2011-289442), and the Spanish MINECO through the “Ramón y Cajal” programme (RYC2011-07710) and through the project FPA2009-09017. We also thank the Spanish MINECO (Centro de excelencia Severo Ochoa Program) under grant SEV-2012-0249 as well as the Nordita Scientific program “News in Neutrino Physics”, where part of this work was performedProject
info:eu-repo/grantAgreement/EC/FP7/321582; Gobierno de España. RYC2011-07710; Gobierno de España. FPA2009-09017; Gobierno de España. SEV-2012-0249; info:eu-repo/grantAgreement/EC/FP7/289442Editor's Version
http://dx.doi.org/10.1007/JHEP03(2015)005Subjects
CP violation; Neutrino Physics; Statistical Methods; FísicaNote
Journal of High Energy Physics 2015.3 (2015): 005 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)Rights
© 2015, The Author(s)Abstract
We address the validity of the usual procedure to determine the sensitivity of neutrino oscillation experiments to CP violation. An explicit calibration of the test statistic is performed through Monte Carlo simulations for several experimental setups. We find that significant deviations from a χ2 distribution with one degree of freedom occur for experimental setups with low sensitivity to δ. In particular, when the allowed region to which δ is constrained at a given confidence level is comparable to the whole allowed range, the cyclic nature of the variable manifests and the premises of Wilk’s theorem are violated. This leads to values of the test statistic significantly lower than a χ2 distribution at that confidence level. On the other hand, for facilities which can place better constraints on δ the cyclic nature of the variable is hidden and, as the potential of the facility improves, the values of the test statistics first become slightly higher than and then approach asymptotically a χ2 distribution. The role of sign degeneracies is also discussed
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Google Scholar:Blennow, Mattias
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Coloma, Pilar
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Fernández Martínez, L. Enrique
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