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

Evgeny Kh. Akhmedov1,2, Michele Maltoni3 and Alexei Yu. Smirnov4,5

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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.

Keywords

Neutrino Physics

CP violation

Solar and Atmospheric Neutrinos

 

E-print Number: 0804.1466

Cited: by |

Refers: to

PACS

96.50.sb Composition, energy spectra and interactions

14.60.Lm Ordinary neutrinos (nue, numu, nutau)

11.30.Er Charge conjugation, parity, time reversal, and other discrete symmetries

96.50.Vg Energetic particles

96.60.Vg Particle emission, solar wind

Subjects

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 06 (June 2008)

Received 5 May 2008, accepted for publication 13 June 2008

Published 19 June 2008



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