Abstract
Asymptotically safe extensions of the Standard Model have been searched for by adding vector-like fermions charged under the Standard Model gauge group and having Yukawa-like interactions with new scalar fields. Here we study the corresponding renormalization group β-functions to next and next-to-next to leading order in the perturbative expansion, varying the number of extra fermions and the representations they carry. We test the fixed points of the β-functions against various criteria of perturbativity to single out those that are potentially viable. We show that all the candidate ultraviolet fixed points are unphysical for these models: either they are unstable under radiative corrections, or they cannot be matched to the Standard Model at low energies.
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Barducci, D., Fabbrichesi, M., Nieto, C.M. et al. In search of a UV completion of the standard model — 378,000 models that don’t work. J. High Energ. Phys. 2018, 57 (2018). https://doi.org/10.1007/JHEP11(2018)057
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DOI: https://doi.org/10.1007/JHEP11(2018)057