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Neutrino masses, vacuum stability and quantum gravity prediction for the mass of the top quark
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abstract
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 $M_H$ and the top quark $M_t$. If only the standard model particles contribute to the running of couplings below the Planck mass, the observed $M_H\sim125\,{\rm GeV}$ results in the prediction for the top quark mass $M_t\sim 171\,{\rm GeV}$, 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 a $SU(2)$ 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 $M_t\sim 172.5\,{\rm GeV}$ for a triplet mass of $M_\Delta\sim 10^8{\rm GeV}$. Right handed neutrino masses at an intermediate scale increase the uncertainty of the predictions of $M_t$ 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.
Forward citations
Cited by 5 Pith papers
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Comparing Pythia top-pair events to fictitious top-meson samples linked by HQET yields a 200–300 MeV shift between the Monte Carlo top mass and the pole mass.
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In asymptotically safe gravity, the Weinberg operator is shown to be irrelevant, so Standard Model neutrinos cannot get masses without new fields; type-I seesaw scales are bounded from above.
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Using the b-quark production ratio at sqrt(s) near 341 GeV, a simulated CEPC experiment could discover toponium at over 5 sigma and measure the top 1S mass to about 33 MeV.
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Interplay of $95$ GeV Diphoton Excess and Dark Matter in Supersymmetric Triplet Model
A parameter scan shows the triplet-extended MSSM has regions that fit the 95 GeV diphoton signal, the 125 GeV Higgs mass, and the dark matter relic density simultaneously.
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