Naturalness of Asymptotically Safe Higgs

We extend the list of theories featuring a rigorous interacting ultraviolet fixed point by constructing the first theory featuring a Higgs-like scalar with gauge, Yukawa and quartic interactions. We show that the theory enters a perturbative asymptotically safe regime at energies above a physical sc...

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Main Authors: Giulio M. Pelaggi, Francesco Sannino, Alessandro Strumia, Elena Vigiani
Format: Article
Language:English
Published: Frontiers Media S.A. 2017-10-01
Series:Frontiers in Physics
Subjects:
QFT
Online Access:http://journal.frontiersin.org/article/10.3389/fphy.2017.00049/full
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spelling doaj-37116566c1be42b8bb4b9219aea6ecb22020-11-24T23:47:25ZengFrontiers Media S.A.Frontiers in Physics2296-424X2017-10-01510.3389/fphy.2017.00049278935Naturalness of Asymptotically Safe HiggsGiulio M. Pelaggi0Giulio M. Pelaggi1Francesco Sannino2Alessandro Strumia3Alessandro Strumia4Alessandro Strumia5Elena Vigiani6Elena Vigiani7Dipartimento di Fisica dell'Università di Pisa, Pisa, ItalyINFN, Pisa, ItalyCP3-Origins and Danish IAS, University of Southern Denmark, Odense, DenmarkDipartimento di Fisica dell'Università di Pisa, Pisa, ItalyINFN, Pisa, ItalyCERN, Theory Division, Geneva, SwitzerlandDipartimento di Fisica dell'Università di Pisa, Pisa, ItalyINFN, Pisa, ItalyWe extend the list of theories featuring a rigorous interacting ultraviolet fixed point by constructing the first theory featuring a Higgs-like scalar with gauge, Yukawa and quartic interactions. We show that the theory enters a perturbative asymptotically safe regime at energies above a physical scale Λ. We determine the salient properties of the theory and use it as a concrete example to test whether scalars masses unavoidably receive quantum correction of order Λ. Having at our dispose a calculable model allowing us to precisely relate the IR and UV of the theory we demonstrate that the scalars can be lighter than Λ. Although we do not have an answer to whether the Standard Model hypercharge coupling growth toward a Landau pole at around Λ ~ 1040GeV can be tamed by non-perturbative asymptotic safety, our results indicate that such a possibility is worth exploring. In fact, if successful, it might also offer an explanation for the unbearable lightness of the Higgs.http://journal.frontiersin.org/article/10.3389/fphy.2017.00049/fullasymptotic safetybeyond standard model physicsnaturalnessQFTfundamental interactions
collection DOAJ
language English
format Article
sources DOAJ
author Giulio M. Pelaggi
Giulio M. Pelaggi
Francesco Sannino
Alessandro Strumia
Alessandro Strumia
Alessandro Strumia
Elena Vigiani
Elena Vigiani
spellingShingle Giulio M. Pelaggi
Giulio M. Pelaggi
Francesco Sannino
Alessandro Strumia
Alessandro Strumia
Alessandro Strumia
Elena Vigiani
Elena Vigiani
Naturalness of Asymptotically Safe Higgs
Frontiers in Physics
asymptotic safety
beyond standard model physics
naturalness
QFT
fundamental interactions
author_facet Giulio M. Pelaggi
Giulio M. Pelaggi
Francesco Sannino
Alessandro Strumia
Alessandro Strumia
Alessandro Strumia
Elena Vigiani
Elena Vigiani
author_sort Giulio M. Pelaggi
title Naturalness of Asymptotically Safe Higgs
title_short Naturalness of Asymptotically Safe Higgs
title_full Naturalness of Asymptotically Safe Higgs
title_fullStr Naturalness of Asymptotically Safe Higgs
title_full_unstemmed Naturalness of Asymptotically Safe Higgs
title_sort naturalness of asymptotically safe higgs
publisher Frontiers Media S.A.
series Frontiers in Physics
issn 2296-424X
publishDate 2017-10-01
description We extend the list of theories featuring a rigorous interacting ultraviolet fixed point by constructing the first theory featuring a Higgs-like scalar with gauge, Yukawa and quartic interactions. We show that the theory enters a perturbative asymptotically safe regime at energies above a physical scale Λ. We determine the salient properties of the theory and use it as a concrete example to test whether scalars masses unavoidably receive quantum correction of order Λ. Having at our dispose a calculable model allowing us to precisely relate the IR and UV of the theory we demonstrate that the scalars can be lighter than Λ. Although we do not have an answer to whether the Standard Model hypercharge coupling growth toward a Landau pole at around Λ ~ 1040GeV can be tamed by non-perturbative asymptotic safety, our results indicate that such a possibility is worth exploring. In fact, if successful, it might also offer an explanation for the unbearable lightness of the Higgs.
topic asymptotic safety
beyond standard model physics
naturalness
QFT
fundamental interactions
url http://journal.frontiersin.org/article/10.3389/fphy.2017.00049/full
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