Nearly degenerate neutrinos, supersymmetry and radiative corrections

May, 1999
33 pages
Published in:
  • Nucl.Phys.B 569 (2000) 82-106
e-Print:
Report number:
  • IEM-FT-193-99,
  • CERN-TH-99-142

Citations per year

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Abstract:
If neutrinos are to play a relevant cosmological role, they must be essentially degenerate with a mass matrix of the bimaximal mixing type. We study this scenario in the MSSM framework, finding that if neutrino masses are produced by a see-saw mechanism, the radiative corrections give rise to mass splittings and mixing angles that can accommodate the atmospheric and the (large angle MSW) solar neutrino oscillations. This provides a natural origin for the Δmsol2<<Δmatm2\Delta m^2_{sol} << \Delta m^2_{atm} hierarchy. On the other hand, the vacuum oscillation solution to the solar neutrino problem is always excluded. We discuss also in the SUSY scenario other possible effects of radiative corrections involving the new neutrino Yukawa couplings, including implications for triviality limits on the Majorana mass, the infrared fixed point value of the top Yukawa coupling, and gauge coupling and bottom-tau unification.
  • 14.60.Pq
  • 14.60.Lm
  • 14.60.St
  • 11.30.Pb
  • 12.60.Jv
  • neutrino: astrophysics
  • neutrino: mass difference
  • neutrino: mass generation
  • neutrino: mixing angle
  • neutrino: Majorana
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