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Asymptotically Safe Standard Model Extensions?

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arxiv 1708.00437 v3 pith:BJQ3OUEM submitted 2017-08-01 hep-ph hep-lathep-th

Giulio Maria Pelaggi , Alexis D. Plascencia , Alberto Salvio , Francesco Sannino , Juri Smirnov , Alessandro Strumia This is my paper · ORCID
classification hep-phhep-lathep-th
keywords asymptoticallysafeextensionsmodelquarticsamestandardabelian
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abstract

We consider theories with a large number $N_F$ of charged fermions and compute the renormalisation group equations for the gauge, Yukawa and quartic couplings resummed at leading order in $1/N_F$. We construct extensions of the Standard Model where SU(2) and/or SU(3) are asymptotically safe. When the same procedure is applied to the Abelian U(1) factor, we find that the Higgs quartic can not be made asymptotically safe and stay perturbative at the same time.

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  1. Safety versus triviality on the lattice

    hep-lat 2019-08 conditional novelty 6.0 of 10

    For SU(2) with 24 and 48 Dirac flavors, the lattice gradient-flow coupling matches the perturbative two-loop running at accessible scales and refuses to grow large, which is compatible with a Landau pole but does not ...

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