Reassessing the sensitivity to leptonic CP violation
dc.contributor.author | Blennow, Mattias | en |
dc.contributor.author | Coloma, Pilar | en |
dc.contributor.author | Fernandez-Martinez, Enrique | en |
dc.contributor.department | Center for Neutrino Physics | en |
dc.date.accessioned | 2019-03-11T15:27:13Z | en |
dc.date.available | 2019-03-11T15:27:13Z | en |
dc.date.issued | 2015-03-02 | en |
dc.description.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 chi(2) distribution with one degree of freedom occur for experimental setups with low sensitivity to ffi. In particular, when the allowed region to which ffi 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 chi(2) distribution at that confidence level. On the other hand, for facilities which can place better constraints on ffi 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 chi(2) distribution. The role of sign degeneracies is also discussed. | en |
dc.description.notes | 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 Hernandez 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 "Ramon 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 performed. | en |
dc.description.sponsorship | Goran Gustafsson Foundation | en |
dc.description.sponsorship | U.S. Department of Energy [DE-SC0003915] | en |
dc.description.sponsorship | European Union [PCIG11-GA-2012-321582] | en |
dc.description.sponsorship | ITN INVISIBLES [PITN-GA-2011-289442] | en |
dc.description.sponsorship | Spanish MINECO [RYC2011-07710, FPA2009-09017] | en |
dc.format.mimetype | application/pdf | en |
dc.identifier.doi | https://doi.org/10.1007/JHEP03(2015)005 | en |
dc.identifier.issn | 1029-8479 | en |
dc.identifier.issue | 3 | en |
dc.identifier.other | 5 | en |
dc.identifier.uri | http://hdl.handle.net/10919/88409 | en |
dc.language.iso | en_US | en |
dc.publisher | Springer | en |
dc.rights | Creative Commons Attribution 4.0 International | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | en |
dc.subject | Neutrino Physics | en |
dc.subject | CP violation | en |
dc.subject | Statistical Methods | en |
dc.title | Reassessing the sensitivity to leptonic CP violation | en |
dc.title.serial | Journal of High Energy Physics | en |
dc.type | Article - Refereed | en |
dc.type.dcmitype | Text | en |
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