Misc,

Modified model of top quark condensation

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(May 16, 2014)

Abstract

We suggest the modification of the top - quark condensation model following the scenario proposed in ZetaHiggs. In the suggested model at the distances of the order of \$1/100\$ GeV the interaction between the fermions and the Higgs boson is \$U(12)O(4)\$ symmetric, and all Standard Model fermions enter it in an equal way. As a result, the theory at these distances may be represented in terms of only one Majorana spinor that carries the \$U(12)\$ index and, in addition, belongs to the spinor representation of \$O(4)\$. Tho fermions of different \$O(4)\$ chirality may be transformed to each other with the emission/absorbtion of the \$125\$ GeV Higgs boson. The symmetry \$U(12)O(4)\$ is responsible for the relation between the Higgs boson mass and the top quark mass \$M\_H^2 = m\_t^2/2\$. At the distances \$1/100\$ GeV the mentioned symmetry is broken, and the interaction term dominates that provides the nonzero mass of the top quark. On this level of consideration the other SM fermions remain massless. It is supposed, that the corresponding masses appear as perturbations.

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