Higgs Vacuum Stability in a Mass-Dependent Renormalisation Scheme

Abstract

Using a physical renormalisation scheme we derive mass-dependent renormalisation group equations for the running of the Higgs quartic coupling within the Standard Model. Subsequently, we accurately take into account weak scale thresholds, resulting in a reduction of the error in the determination of the maximum $M_t$ required for absolute stability of the vacuum to 0.28 GeV. For the first time, we conclusively establish the fate of the electroweak vacuum, finding that absolute stability of the Higgs vacuum state is excluded at 99.98% C.L. We also discuss the consequences when this new result is combined with the BICEP Collaboration's recent observation of B-mode polarisation in the cosmic microwave background, finding the Standard Model electroweak vacuum lifetime to be too short to have survived inflation. The implications for inflationary and new physics models are also discussed.

19 pages, 2 figures

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Cited by in corpus (10)

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• A study of electroweak vacuum metastability with a singlet scalar dark matter
• Embedding inflation into the Standard Model - more evidence for classical scale invariance
• Enhanced $thj$ signal at the LHC with $h\to \gamma \gamma$ decay and $\mathcal{C}\mathcal{P}$-violating top-Higgs coupling
• Topological Higgs inflation: The origin of the Standard Model criticality
• Higgs vacuum stability and inflationary dynamics after BICEP2 and PLANCK dust polarisation data
• Gravitational effects on vanishing Higgs potential at the Planck scale
• Criticality in the scale invariant standard model (squared)
• Top-Goldstone coupling spoils renormalization of Higgs inflation