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Ultra-high energy neutrinos; pseudo-Dirac neutrinos; neutrino oscillation.

The possibility to verify the pseudo-Dirac nature of neutrinos is investigated here via the detection of ultra-high energy neutrinos from distant cosmological objects like 𝛾-ray bursts (GRBs). The very long baseline and the energy range from ∼TeV to ∼EeV for such neutrinos invoke the likelihood to probe very small pseudo-Dirac splittings. The expected secondary muons from such neutrinos that can be detected by a kilometer scale detector such as ICECUBE is calculated and compared with the same in the case of mass-flavour oscillations and for no oscillation cases. The calculated muon yields indicate that to probe such small pseudo-Dirac splittings one needs to look for a nearby GRB (red shift $z \sim 0:03$ or less) whereas for a distant GRB ($z \sim 1$) the flux will be much depleted and such phenomenon cannot be distinguished. Also calculated are the muon-to-shower ratios.

Debasish Majumdar¹

1. Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700 064, India

Published

January 2008

Manuscript received

9 August 2006

Manuscript revised

17 August 2007

Accepted

28 August 2007