Abstract
摘要 |
We show that if Lorentz symmetry is violated at high energies,interactions that are usually non-renormalizable can become renormalizable by weighted power counting. We present a CPT invariant, Lorentz violating extension of the Standard Model containing two scalar-two fermion interactions (which can explain neutrino masses) and four fermion interactions (which can explain proton decay). The presence of four fermion vertices allows us to argue that the known low energy physics can be reproduced also if the elementary scalars are suppressed, in the Nambu--Jona-Lasinio spirit, avoiding the ambiguities of common non-renormalizable approaches. Using a large-Nc expansion, we study the dynamical symmetry breaking in the scalarless model, and show that the effective potential has a Lorentz invariant minimum and that the Lorentz violation does not reverberate down to low energies. The mechanism generates fermion masses, gauge-boson masses and scalar bound states, to be identified with composite Higgs bosons. Moreover, it predicts relations among the parameters of the Standard Model.
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