A Dynamical Left--Right Symmetry Breaking Model

Abstract

Left--right symmetry breaking in a model with composite Higgs scalars is discussed. It is assumed that the low--energy degrees of freedom are just fermions and gauge bosons and that the Higgs bosons are generated dynamically through a set of gauge-- and parity--invariant 4-fermion operators. It is shown that in a model with composite bi-doublet and two triplet scalars there is no parity breaking at low energies, whereas in the model with two doublets instead of two triplets parity is broken automatically regardless of the choice of the parameters of the model. For phenomenologically allowed values of the right--handed scale the tumbling symmetry breaking mechanism is realized in which parity breaking at a high scale $μ_R$ propagates down and eventually causes the \EW symmetry breaking at the scale $μ_{EW}\sim 100$ GeV. The model exhibits a number of low and intermediate mass Higgs bosons with certain relations between their masses. In particular, the $SU(2)_L$ Higgs doublet $χ_L$ is a pseudo--Goldstone boson of the accidental (approximate) $SU(4)$ symmetry of the Higgs potential and therefore is expected to be relatively light.