Instanton-mediated baryon number violation in non-universal gauge extended models

preprint2015arXivOpen access

Abstract

Instanton solutions of non-abelian Yang-Mills theories generate an effective action that may induce lepton and baryon number violations, namely ΔB=ΔL=nfΔB = ΔL = n_f, being nfn_f the number of families coupled to the gauge group. In this article we study instanton mediated processes in a SU(2)ℓ⊗SU(2)h⊗U(1)SU(2)_{\ell} \otimes SU(2)_h \otimes U(1) extension of the Standard Model that breaks universality by singularizing the third family. In the construction of the instanton Green functions we account systematically for the inter-family mixing. This allows us to use the experimental bounds on proton decay in order to constrain the gauge coupling of SU(2)hSU(2)_h. Tau lepton non-leptonic and radiative decays with ΔB=ΔL=1ΔB = ΔL = 1 are also analysed.

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