Investigating the near-criticality of the Higgs boson

By D. Buttazzo, Giuseppe Degrassi, Pier Paolo Giardino, G. Giudice, F. Sala, A. Salvio, Alessandro Strumia. 2013

1,196 citations recorded by the source corpus.

A bstractWe extract from data the parameters of the Higgs potential, the top Yukawa coupling and the electroweak gauge couplings with full 2-loop NNLO precision, and we extrapolate the SM parameters up to large energies with full 3-loop NNLO RGE precision. Then we study the phase diagram of the Standard Model in terms of high-energy parameters, finding that the measured Higgs mass roughly corresponds to the minimum values of the Higgs quartic and top Yukawa and the maximum value of the gauge couplings allowed by vacuum metastability. We discuss various theoretical interpretations of the near-criticality of the Higgs mass.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ec9d4e9289d846de4d45ce4aad51ef30ee1484a9

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Building and testing models with extended Higgs sectors (2017, background): “assical values. Theoretical analyses of the Higgs potential stability, assuming that no New Physics is present up to Planck scale, indicate that the present low-energy vacuum is marginally metastable [374]. Although it does not run into immediate problems for the present-day physics, it does raise q”
New developments in FeynCalc 9.0 (2016, methodology): “Other studies where FeynCalc was used involve such fields as Higgs [25, 26, 27] and top quark physics [28], phenomena in hadronic interactions [29, 30], dark matter [31, 32], neutrino physics [33, 34, 35] or gravity [36].”
Higgs mass and unnatural supersymmetry (2014, methodology): “We assume that physics at the weak scale is described by the SM, and extract from data the MS-renormalized parameters with two-loop precision in all couplings, adopting the results of [4].”
Primordial gravitational waves, precisely: the role of thermodynamics in the Standard Model (2018, methodology): “;low(T) by minimizing f(’;T) numerically for a given value of T. For coupling parameters (), (), g2(), g02(), y2 t() dened in the MS scheme, we adopt threeloop order running evaluated in Ref. [93]. The renormalization scale is simply taken to be a xed value = m Z, where m Z ’91:19GeV is the Zboson m”
Agravity (2014, methodology): “Running of the quartic Higgs coupling in the SM [93].”
Standard Model—axion—seesaw—Higgs portal inflation. Five problems of particle physics and cosmology solved in one stroke (2016, methodology): “op quark’s mass in reference [120]. The curves have been obtained using the tree-level potential, improved by two-loop RGEs. the eective SM potential becomes negative at large Higgs values, see e.g. [13,14,17]. We show in Figure5the instability scale I at which the SM Higgs quartic coupling crosses ”
Testing electroweak baryogenesis with future colliders (2014, background): “of the phase transition. We conclude our RG discussion with a ﬁnal comment on vacuum stability. It is well understood that for the measured higgs mass in the SM, the universe is in a metastable state [107], since the y4 t term in the RGE pushes the quartic down towards negative values at high energi”
Cosmological implications of Dark Matter bound states (2017, methodology): “We adopted the couplings from [32] and normalized them at Mχ when computing annihilation rates, and at the inverse Bohr-radius α2Mχ when computing potentials.”
Dark matter and neutrino masses from a scale-invariant multi-Higgs portal (2015, methodology): “For the SM gauge couplings and the top quark Yukawa coupling we use the NNLO values at Mt [22, 83]:”
SusyHD: Higgs mass Determination in Supersymmetry (2015, methodology): “• The couplings are then evolved from the weak scale to the superpartner scale using the full three-loop renormalization group equations (RGE) for these couplings(3) [30].”