Grand unification in the spectral Pati-Salam model
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We analyze the running at one-loop of the gauge couplings in the spectral Pati-Salam model that was derived in the framework of noncommutative geometry. There are a few different scenarios for the scalar particle content which are determined by the precise form of the Dirac operator for the finite noncommutative space. We consider these different scenarios and establish for all of them unification of the Pati-Salam gauge couplings. The boundary conditions are set by the usual RG flow for the Standard Model couplings at an intermediate mass scale at which the Pati-Salam symmetry is broken.
KeywordsBeyond Standard Model Non-Commutative Geometry Spontaneous Symmetry Breaking Renormalization Group
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- W. McKay and J. Patera, Tables of dimensions, indices, and branching rules for representations of simple Lie algebras, Lect. Notes Pure Appl. Math. 69, Marcel Dekker Inc., New York U.S.A. (1981).Google Scholar
- R. Mohapatra, Unification and supersymmetry. The frontiers of quark-lepton physics, third edition, Springer, New York U.S.A. (2003).Google Scholar
- J.C. Pati and A. Salam, Lepton number as the fourth color, Phys. Rev. D 10 (1974) 275 [Erratum ibid. D 11 (1975) 703] [INSPIRE].