Higgs boson mass and new physics

By Fedor Bezrukov, M. Kalmykov, Bernd A. Kniehl, M. Shaposhnikov. 2012

558 citations recorded by the source corpus.

A bstractWe discuss the lower Higgs boson mass bounds which come from the absolute stability of the Standard Model (SM) vacuum and from the Higgs inflation, as well as the prediction of the Higgs boson mass coming from the asymptotic safety of the SM. We account for the three-loop renormalization group evolution of the couplings of the SM and for a part of the two-loop corrections that involve the QCD coupling αs to the initial conditions for their running. This is one step beyond the current state-of-the-art procedure (“one-loop matching-two-loop running”). This results in a reduction of the theoretical uncertainties in the Higgs boson mass bounds and predictions, associated with the SM physics, to 1–2 GeV. We find that with the account of existing experimental uncertainties in the mass of the top quark and αs (taken at the 2σ level) the bound reads MH ≥ Mmin (equality corresponds to the asymptotic-safety prediction), where $ {{M}_{{\min }}}=\left( {129\pm 6} \right) $ GeV. We argue that the discovery of the SM Higgs boson in this range would be in agreement with the hypothesis of the absence of new energy scales between the Fermi and Planck scales, whereas the coincidence of MH with Mmin would suggest that the electroweak scale is determined by Planck physics. In order to clarify the relation between the Fermi and Planck scales a construction of an electron-positron or muon collider with a center-of-mass energy ~ (200 + 200 GeV) (Higgs and t-quark factory) would be needed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2370bc8e6093f55f6daa6a4587dc59631c8a1589

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Citations in the corpus

Measurement of the top quark mass using proton-proton data at √s=7 and 8 TeV (2016, background): “Its value leads to constraints on the stability of the electroweak vacuum [3,4] and affects models with broader cosmological implications [5,6].”
Classical and quantum initial conditions for Higgs inflation (2015, background): “(7): the quartic coupling λ is small [25,22,23] and the non-minimal coupling ξ is large (see Eq.”
Higgs inflation at the critical point (2014, methodology): “3 We used the analysis made in [11] to produce the fitting formulas and fixed αs = 0.”
$Z_3$ Scalar Singlet Dark Matter (2012, methodology): “The largest uncertainty on the vacuum stability bound arises from the top quark mass: the recent NLO [7] and NNLO analyses [24] that use the top pole mass disfavour SM vacuum stability, though a couple of analyses at NNLO [25] that determine the running top mass from total top pair production cross ”
Dark Matter, Baryogenesis and Neutrino Oscillations from Right Handed Neutrinos (2012, methodology): “ mH = 126 GeV suggested by recent LHC data [135, 136], corresponding to electroweak scale of TEW ∼ 140 GeV. This is consistent with the νMSM being a valid description of nature up to the Planck scale [137]. We present our results in ﬁgure 6, which shows the allowed region in the ∆M−Imω plane for sev”
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].”
Higgs inflation from Standard Model criticality (2014, unknown): “[4–16] for latest analyses.”