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.

In search of a UV completion of the standard model — 378,000 models that don’t work / Barducci, D.; Fabbrichesi, M.; Nieto, C. M.; Percacci, R.; Skrinjar, V.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2018:11(2018), pp. 1-39. [10.1007/JHEP11(2018)057]

In search of a UV completion of the standard model — 378,000 models that don’t work

Barducci, D.;Fabbrichesi, M.;Percacci, R.;Skrinjar, V.
2018

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.
2018
11
1
39
057
https://arxiv.org/abs/1807.05584
Barducci, D.; Fabbrichesi, M.; Nieto, C. M.; Percacci, R.; Skrinjar, V.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/85980
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