Asymptotic safety of gravity and the Higgs-boson mass

By M. Shaposhnikov, C. Wetterich. 2009

359 citations recorded by the source corpus.

AbtractIf gravity is asymptotically safe, then the ultimate theory might be just the standard model (minimally supplemented by a few light particles to accommodate neutrino masses and oscillations, dark matter, and the baryon asymmetry of the Universe) plus gravity. If this is indeed the case, then the Higgs-boson mass can be predicted (mH = mmin ≃ 130 GeV with an uncertainty of only a few GeV) or constrained to be in the interval mmin < mH < mmax ≃ 174 GeV.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c494f46eeaec8bce6bf6d696cf3ce5d7920102c2

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Citations in the corpus

Agravity (2014, background): “Other authors try to interpret ambiguous power-divergent corrections to gauge couplings from Einstein gravity as gravitational power-running RGE, with possible physical consequences such as an asymptotically free hypercharge [82].”
Higgs Inflation (2018, background): “1) is certainly particular since it allows to extend the SM up to the Planck scale without leaving the perturbative regime [14].”
Planck scale boundary conditions and the Higgs mass (2011, background): “[13] where the authors obtained from the asymptotic safety of gravity λ ≈ 0 and βλ ≈ 0 near the Planck scale.”
Sterile neutrino Dark Matter (2018, background): “he narrow regime where the electroweak vacuum is metastable [112] and a vacuum decay catastrophe [113] can be avoided may suggest the absence of any new scale between the electroweak and Planck scale [114,115]. Popular low scale seesaw scenarios include the inverse [84{86] and linear [87,88] seesaw,”
Mass effects in the Higgs-gluon coupling: boosted vs. off-shell production (2014, background): “Demanding m`` ∈ [10, 60] GeV for leptons of same flavour addresses this background by leaving out the Z–pole contribution.”
Investigating the near-criticality of the Higgs boson (2013, background): “[8, 118–121] — the smallness of λ around MPl offers reasons for speculation, as we will discuss later.”
The Phenomenology of Right Handed Neutrinos (2013, background): “We also do not discuss the issue of vacuum stability, which seems inconclusive at this stage due to uncertainties in the top mass [14–18].”
The nonperturbative functional renormalization group and its applications (2020, background): “Once the Higgs vacuum expectation value, which remains a relevant parameter, unless quantum-gravity effects are very strong [1266, 1286], is set, the Higgs mass [1287], top quark mass [1273], bottom quark mass [1288] and Abelian gauge coupling [1281, 1283, 1288] become calculable within the toy mode”
Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the standard model (2012, background): “Further, in a recent work [5], the possibility has been discussed that the SM, supplemented by the asymptotically safe gravity could play the role of a fundamental, rather than effective field theory.”
Higgs inflation with loop corrections in the Palatini formulation (2017, methodology): “Such behaviour was used to predict the value of the Higgs mass in the context of asymptotic safety [7].”