CP-mirror Extension of Standard Model In SU(3) x SU(2)L x SU(2)R x U(1)I

Mirza Satriawan
Department of Physics, Universitas Gadjah Mada, Bulaksumur BLS 21, Yogyakarta
55281 Indonesia.

Abstract
I propose an extension of standard model based on SU(3)x SU(2)L x SU(2)R x U(1)I gauge group, where for each standard model fermion (plus the right handed neutrino) there is a CP-mirror counterpart with the same lepton or color quantum number. A global fermion number conservation is also imposed, thereby there is no majorana neutrino in this model. In the Higgs sector there are left and right Higgs doublets, but no bidoublet. Additionally there are two lepto-quark singlet and one singlet scalars. This model by construction is anomaly free. The left and right Higgs doublets will acquire vacuum expectation values with vR > vL, breaking the parity spontaneuously.

The two set of fermions will have dierent masses with the standard model particles have their usual masses through the usual mechanism, while the CP-mirror counterpart will have very heavy masses. As an exception is the neutrino, since both the the singlet right handed neutrino and its CP-mirror counterpart have I = 0, they can have a mixing with arbitrary heavy bare mass, which will lead to a type-I Dirac seesaw-like mechanism and gives one neutrino with a very small mass and the other one with very large mass.
The lepto-quark scalars will facilitate the decay of the very heavy CP-mirror leptons into the SM quarks and the very heavy CP-mirror quarks into theSM leptons. Several other consequence will also be explored.

Keywords: extended standard model, left-right symmetry, seesaw mechanism

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