Natural R parity, μ\mu-term, and fermion mass hierarchy from discrete gauge symmetries

Dec, 2002
21 pages
Published in:
  • Nucl.Phys.B 660 (2003) 322-342
  • Published: 2003
e-Print:
Report number:
  • OSU-HEP-02-17

Citations per year

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Abstract:
In the minimal supersymmetric Standard Model with seesaw neutrino masses we show how R-parity can emerge naturally as a discrete gauge symmetry. The same discrete symmetry explains the smallness of the \mu-term (the Higgsino mass parameter) via the Giudice--Masiero mechanism. The discrete gauge anomalies are cancelled by a discrete version of the Green--Schwarz mechanism. The simplest symmetry group is found to be Z_4 with a charge assignment that is compatible with grand unification. Several other Z_N gauge symmetries are found for N=10,12,18,36 etc, with some models employing discrete anomaly cancellation at higher Kac-Moody levels. Allowing for a flavor structure in Z_N, we show that the same gauge symmetry can also explain the observed hierarchy in the fermion masses and mixings.
  • supersymmetry
  • neutrino: mass generation
  • R parity
  • symmetry: discrete
  • symmetry: gauge
  • anomaly
  • algebra: Kac-Moody
  • fermion: mass
  • fermion: mixing angle
  • mu-problem