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.
2018-01-01
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.File | Dimensione | Formato | |
---|---|---|---|
Barducci2018_Article_InSearchOfAUVCompletionOfTheSt.pdf
accesso aperto
Descrizione: Article funded by SCOAP3
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
758.49 kB
Formato
Adobe PDF
|
758.49 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.