Planck scale boundary conditions and the Higgs mass

By M. Holthausen, Kher Sham Lim, Manfred Lindner. Journal of High Energy Physics, 2011

191 citations recorded by the source corpus.

If the LHC does only find a Higgs boson in the low mass region and no other new physics, then one should reconsider scenarios where the Standard Model with three right-handed neutrinos is valid up to Planck scale. We assume in this spirit that the Standard Model couplings are remnants of quantum gravity which implies certain generic boundary conditions for the Higgs quartic coupling at Planck scale. This leads to Higgs mass predictions at the electroweak scale via renormalization group equations. We find that several physically well motivated conditions yield a range of Higgs masses from 127 − 142 GeV. We also argue that a random quartic Higgs coupling at the Planck scale favours MH  > 150 GeV, which is clearly excluded. We discuss also the prospects for differentiating different boundary conditions imposed for λ(Mpl) at the LHC. A striking example is MH = 127 ± 5 GeV corresponding to λ(Mpl) = 0, which would imply that the quartic Higgs coupling at the electroweak scale is entirely radiatively generated.

Subfields: Nuclear and High Energy Physics, Political Science and International Relations, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/26f61a63f69f79013388442539ef5d127e0edde1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. Alessandro Strumia
2. Fedor Bezrukov
3. M. Shaposhnikov
4. G. Giudice
5. A. Salvio
6. J. Espinosa
7. M. Schönherr
8. Bernd A. Kniehl

In Political Science and International Relations

1. G. Isidori
2. G. Giudice

In Statistical and Nonlinear Physics

1. M. Shaposhnikov
2. Fedor Bezrukov
3. A. Salvio
4. Bernd A. Kniehl
5. G. Giudice
6. K. Chetyrkin
7. S. Vita
8. M. Drewes

Citations in the corpus

• Higgs inflation from Standard Model criticality (2014, unknown): “[4–16] for latest analyses.”
• Higgs boson mass and new physics (2012, methodology): “and estimated the theoretical uncertainties as summarized in Table 1 (see also [17]).”
• Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the standard model (2012, background): “Note that the boundary condition λ(MP lanck) = 0, leading to the prediction of the Higgs mass close the the experimental evidence, has been also discussed recently in [9].”
• Dark matter and neutrino masses from a scale-invariant multi-Higgs portal (2015, background): “1285 [19,20], leads to negative values for the Higgs self-coupling λ(μ) above scales of O(1010 GeV) which means the vacuum is actually metastable [21–31].”
• Higgs mass and vacuum stability in the Standard Model at NNLO (2012, background): “[12, 13, 15, 24, 25] — the smallness of λ around MPl is quite remarkable (see figure 1).”
• Mass effects in the Higgs-gluon coupling: boosted vs. off-shell production (2014, background): “This coupling is crucial when extrapolating to more fundamental energy scales, which leaves space for new physics [10–13].”
• Investigating the near-criticality of the Higgs boson (2013, background): “The discovery of the SM near-criticality has led to many theoretical speculations [8, 31–55, 120, 121].”
• Stabilization of the electroweak vacuum by a scalar threshold effect (2012, unknown): “[3–20]).”