Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-05-22
Phys.Rev.D68:033007,2003
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, no figures, RevTeX4, references added
Scientific paper
10.1103/PhysRevD.68.033007
Neutrino oscillation experiments (excluding the LSND experiment) suggest a tri-bimaximal form for the lepton mixing matrix. This form indicates that the mixing matrix is probably independent of the lepton masses, and suggests the action of an underlying discrete family symmetry. Using these hints, we conjecture that the contrasting forms of the quark and lepton mixing matrices may both be generated by such a discrete family symmetry. This idea is that the diagonalisation matrices out of which the physical mixing matrices are composed have large mixing angles, which cancel out due to a symmetry when the CKM matrix is computed, but do not do so in the MNS case. However, in the cases where the Higgs bosons are singlets under the symmetry, and the family symmetry commutes with SU(2)L, we prove a no-go theorem: no discrete unbroken family symmetry can produce the required mixing patterns. We then suggest avenues for future research.
Low Catherine I.
Volkas Raymond R.
No associations
LandOfFree
Tri-bimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Tri-bimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tri-bimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-41139