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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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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