Open AccessR-parity violation and non-abelian discrete family symmetry
Author(s) -
Yuji Kajiyama
Publication year - 2007
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2007/04/007
Subject(s) - parity (physics) , yukawa potential , discrete symmetry , r parity , physics , particle physics , abelian group , symmetry (geometry) , mathematics , supersymmetry , combinatorics , homogeneous space , geometry
We investigate the implications of R-parity violating operators in a modelwith family symmetry. The family symmetry can determine the form of R-parityviolating operators as well as the Yukawa matrices responsible for fermionmasses and mixings. In this paper we consider a concrete model with non-abeliandiscrete symmetry Q_6 which contains only three R-parity violating operators.We find that ratios of decay rates of the lepton flavor violating processes arefixed thanks to the family symmetry, predicting BR(tau to 3e)/BR(tau to 3mu) ~4 m_{mu}^2/m_{tau}^2.Comment: 20 pages, 3 figure
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom