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Neutrino oscillograms of the Earth: effects of 1-2 mixing and CP-violation

Evgeny Kh. Akhmedov et al JHEP06(2008)072   doi: 10.1088/1126-6708/2008/06/072  Help

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Evgeny Kh. Akhmedov1,2, Michele Maltoni3 and Alexei Yu. Smirnov4,5
1 Max-Planck-Institut für Kernphysik, Postfach 103980, D-69029 Heidelberg, Germany
2 National Research Centre, Kurchatov Institute, Moscow, Russia
3 Departamento de Física Teórica & Instituto de Física Teórica UAM/CSIC, Facultad de Ciencias C-XI, Universidad Autónoma de Madrid, Cantoblanco, E-28049 Madrid, Spain
4 The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, I-34014 Trieste, Italy
5 Institute for Nuclear Research, Russian Academy of Sciences, Moscow, Russia
E-mail: michele.maltoni@uam.es

Abstract. We develop a comprehensive description of three flavor neutrino oscillations inside the Earth in terms of neutrino oscillograms in the whole range of nadir angles and for energies above 0.1 GeV. The effects of the 1-2 mass splitting and mixing as well the interference of the 1-2 and 1-3 modes of oscillations are quantified. The 1-2 mass splitting and mixing lead to the appearance, apart from the resonance MSW peaks, of the parametric resonance peak for core-crossing trajectories at Eν ~ 0.2 GeV. We show that the interference effects, in particular CP violation, have a domain structure with borders determined by the solar and atmospheric magic lines and the lines of the interference phase condition. The dependence of the oscillograms on the Dirac CP-violating phase is studied. We show that for sin213 < 0.1 the strongest dependence of the oscillograms on δ is in the 1-2 and 1-3 resonance regions.

Key words: Solar and Atmospheric Neutrinos; CP violation; Neutrino Physics

E-print number: 0804.1466
Cited: by
Refers: to

Received 5 May 2008, accepted for publication 13 June 2008
Published 19 June 2008

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