Electroweak theory of SU(3) × U(1)

Abstract

An electroweak model of the SU(3)XU(l) gauge group is studied. By matching the gauge coupling constant we obtain the mass of the new neutral gauge boson to be less than 3.1 TeV. Including the constraint from muon decay, the allowed ranges of the new gauge boson masses are 1.3 TeV < MZz < 3.1 TeV and 270 GeV1 M y < 550 GeV. Within these mass ranges, the decay Z,+ Y + + Y --with ~**--+21*(1 = e , p ,~) is allowed, providing a spectacular signature at future colliders. The low energy experiments further constrain the Z -Z' mixing angle to be -5 X 5 8 1 7 X lop4.PACS number(s): 12.60. Cn, 12.15.Mm, 13.10.+q,14.70.P~ A model of SU ( 3 ) , XU( 1 ) , was introduced by Pisano and co-workers [I] and Frampton [2] recently. The former authors argues that Y--is necessary in order to avoid unitarity violation for e -e --+ W -Yat high energies; the latter looked for a sim le solution, which included

Neutrino mixing matrix in the 3-3-1 model with heavy leptons andA4symmetry

“…(23) and Eq. (29). Numerically they are consistent with the present experimental constraints [34,35,36].…”

“…A small but non-zero mixing angle V e3 present in Eq. (29). This angle has been assumed to be zero in tri-bimaximal form but it is only required experimentally to be small i.e.…”

“…[16,23], if we accommodate the known left-handed quark and lepton isodoublets in the two upper components of 3 and 3 * (or 3 * and 3), and forbid the exotic electrical charges in the possible models, then b = ±1/2 is mandatory. The original version with right-handed neutrino [26]- [29] is in this category. In this version a left-handed antineutrino is added to each usual SU (2) L doublet left-handed lepton to form a triplet (ν, e, ν c ) L .…”

Anomalous magnetic moment of muon in 3–3–1 models

“…2 The (g µ − 2)/2 in the minimal version Let us firstly recapitulate the basic elements of the model (for more details see [14]). Three lepton components of each family are in one triplet:…”

“…To get physical neutral gauge bosons one has to diagonalize their mass mixing matrix. That can be done in two steps: At the first, the photon field A µ and Z, Z ′ are given by [14] …”