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Neutrino masses, vacuum stability and quantum gravity prediction for the mass of the top quark

A general prediction from asymptotically safe quantum gravity is the approximate vanishing of all quartic scalar couplings at the UV fixed point beyond the Planck scale. A vanishing Higgs doublet quartic coupling near the Planck scale translates into a prediction for the ratio between the mass of th...

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Bibliographic Details
Main Authors: Domènech Fuertes, Guillem (Author) , Goodsell, Mark D. (Author) , Wetterich, Christof (Author)
Format: Article (Journal)
Language:English
Published: January 27, 2021
In: Journal of high energy physics
Year: 2021, Issue: 1, Pages: 1-43
ISSN:1029-8479
DOI:10.1007/JHEP01(2021)180
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/JHEP01(2021)180
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Author Notes:Guillem Domènech, Mark Goodsell and Christof Wetterich
Description
Summary:A general prediction from asymptotically safe quantum gravity is the approximate vanishing of all quartic scalar couplings at the UV fixed point beyond the Planck scale. A vanishing Higgs doublet quartic coupling near the Planck scale translates into a prediction for the ratio between the mass of the Higgs boson MH and the top quark Mt. If only the standard model particles contribute to the running of couplings below the Planck mass, the observed MH ∼ 125 GeV results in the prediction for the top quark mass Mt ∼ 171 GeV, in agreement with recent measurements. In this work, we study how the asymptotic safety prediction for the top quark mass is affected by possible physics at an intermediate scale. We investigate the effect of an SU(2) triplet scalar and right-handed neutrinos, needed to explain the tiny mass of left-handed neutrinos. For pure seesaw II, with no or very heavy right handed neutrinos, the top mass can increase to Mt ∼ 172.5 GeV for a triplet mass of M∆ ∼ 108GeV. Right handed neutrino masses at an intermediate scale increase the uncertainty of the predictions of Mt due to unknown Yukawa couplings of the right-handed neutrinos and a cubic interaction in the scalar potential. For an appropriate range of Yukawa couplings there is no longer an issue of vacuum stability.
Item Description:Gesehen am 31.03.2021
Physical Description:Online Resource
ISSN:1029-8479
DOI:10.1007/JHEP01(2021)180

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