Atmospheric neutrino oscillations, theta (13) and neutrino mass hierarchy
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Atmospheric neutrino oscillations, theta (13) and neutrino mass hierarchy

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Atmospheric neutrino oscillations, theta (13) and neutrino mass hierarchy

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dc.contributor.author Bernabeu Alberola, José
dc.contributor.author Palomares Ruiz, Sergio
dc.contributor.author Petcov, Serguey T.
dc.date.accessioned 2016-05-03T12:27:29Z
dc.date.available 2016-05-03T12:27:29Z
dc.date.issued 2003
dc.identifier.uri http://hdl.handle.net/10550/53341
dc.description.abstract We derive predictions for the Nadir angle (theta(n)) dependence of the ratio N(mu)/N(e) of the rates of the mu-like and e-like multi-GeV events measured in water-Cerenkov detectors in the case of 3-neutrino oscillations of the atmospheric nu(e) (antinu(e)) and nu(mu) (antinu(mu)), driven by one neutrino mass squared difference, |Delta m2(31)| ~ (2.5 - 3.0) x 10^(-3) eV^2 >> Delta m2(21). This ratio is particularly sensitive to the Earth matter effects in the atmospheric neutrino oscillations, and thus to the values of sin^2(theta(13)) and sin^2(theta(23)), theta(13) and theta(23) being the neutrino mixing angle limited by the CHOOZ and Palo Verde experiments and that responsible for the dominant atmospheric nu(mu) -> nu(tau) (antinu(mu) -> antinu(tau)) oscillations. It is also sensitive to the type of neutrino mass spectrum which can be with normal (Delta m2(31) > 0) or with inverted (Delta m2(31) < 0) hierarchy. We show that for sin^2(theta(13)) > 0.01, sin^2(theta(23)) > 0.5 and at cos(theta(n)) > 0.4, the Earth matter effects modify substantially the theta(n)-dependence of the ratio N(mu)/N(e) and in a way which cannot be reproduced with sin^2(theta(13)) = 0 and a different value of sin^2(theta(23)). For normal hierarchy the effects can be as large as ~ 25% for cos(theta(n)) ~ (0.5 - 0.8), can reach ~ 35% in the Earth core bin cos(theta(n)) ~ (0.84 - 1.0), and might be observable. They are typically by ~ 10% smaller in the inverted hierarchy case. An observation of the Earth matter effects in the Nadir angle distribution of the ratio N(mu)/N(e) would clearly indicate that sin^2(theta(13)) > 0.01 and sin^2(theta(23)) > 0.50.
dc.language.iso eng
dc.relation.ispartof Nuclear Physics B, 2003, vol. 669, num. 1-2, p. 255-276
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Bernabeu Alberola, José; Palomares Ruiz, Sergio; Petcov, Serguey T. (2003) Atmospheric neutrino oscillations, theta (13) and neutrino mass hierarchy Nuclear Physics B 669 1-2 255 276
dc.subject Física
dc.title Atmospheric neutrino oscillations, theta (13) and neutrino mass hierarchy
dc.type info:eu-repo/semantics/article
dc.date.updated 2016-05-03T12:27:30Z
dc.identifier.doi http://dx.doi.org/10.1016/j.nuclphysb.2003.07.025
dc.identifier.idgrec 008037

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