2000/11/30 by Masafumi Koike, M. Koike, Toshihiko Ota +3 · 2 citations
Physics and Astronomy · #Ambiguity #Astrophysics and Cosmic Phenomena #CP violation #Coupling (piping) #Mixing (physics) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Oscillation (cell signaling) #Particle physics #Particle physics theoretical and experimental studies #Philosophy #Physics #Quantum mechanics #Sensitivity (control systems) #Sterile neutrino #Theoretical physics #hep-ph
paper · pdf · doi:10.1103/physrevd.65.053015
published as Phys.Rev.D65:053015,2002 · 32pages, 15figures, Accepted for publication in Physical Review D Discussion about CP violation is based on chi_{3}^{2} in this version
arxiv created 2001/12/19 · openalex publication_date 2002/02/12 · arxiv updated 2011/02/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the sensitivity to the CP- or T-violation search in the presence of ambiguities of the theoretical parameters. Three generations of neutrinos are considered. The parameters whose ambiguities are considered are the differences of the squared masses, the mixing angles, and the density of matter. We first consider the statistics that are sensitive to the genuine CP-violation effect originating from the imaginary coupling. No ambiguity of the parameters is considered in this part. It is argued that the widely adopted usual statistics are not necessarily sensitive to the genuine CP-violation effect. Two statistics that are sensitive to the imaginary coupling are proposed. The qualitative difference between these statistics and the usual ones are discussed. Next we proceed to the case where the ambiguity of the parameters is present. The sensitivity of the CP-violation search is greatly spoiled when the baseline length is longer than about one thousand kilometers, which turns out to be due to the ambiguity of the matter effect. Thus the CP-violation search by use of CP conjugate channels turns out to require a low energy neutrino and short baseline length. It is also shown that such a loss of sensitivity is avoided by using T-conjugate oscillation channels.