The Higgs Mass and the Scale of New Physics

Abstract

In view of the measured Higgs mass of 125 GeV, the perturbative renormalization group evolution of the Standard Model suggests that our Higgs vacuum might not be stable. We connect the usual perturbative approach and the functional renormalization group which allows for a straightforward inclusion of higher-dimensional operators in the presence of an ultraviolet cutoff. In the latter framework we study vacuum stability in the presence of higher-dimensional operators. We find that their presence can have a sizable influence on the maximum ultraviolet scale of the Standard Model and the existence of instabilities. Finally, we discuss how such operators can be generated in specific models and study the relation between the instability scale of the potential and the scale of new physics required to avoid instabilities.

27 pages, 12 figures

References in corpus (20)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Exact evolution equation for the effective potential
• Gauge Singlet Scalars as Cold Dark Matter
• LHC Phenomenology of an Extended Standard Model with a Real Scalar Singlet
• Complex Singlet Extension of the Standard Model
• Higgs-field Portal into Hidden Sectors
• The Probable Fate of the Standard Model
• The lifetime of the electroweak vacuum and sensitivity to Planck scale physics
• Why should we care about the top quark Yukawa coupling?
• Top mass determination, Higgs inflation, and vacuum stability
• The Standard Model Higgs Boson-Inflaton and Dark Matter
• Scalar Dark Matter Effects in Higgs and Top Quark Decays
• Light Dark Matter, Naturalness, and the Radiative Origin of the Electroweak Scale
• Higgs Mass Bounds from Renormalization Flow for a Higgs-top-bottom model
• (No) Eternal Inflation and Precision Higgs Physics
• The Planck scale, the Higgs mass and scalar dark matter
• An upper limit on the scale of new physics phenomena from rising cross sections in high multiplicity Higgs and vector boson events
• Effective potential and vacuum stability
• Phase structure and Higgs boson mass in a Higgs-Yukawa model with a dimension-6 operator

Cited by in corpus (11)

• Gauge-Independent Scales Related to the Standard Model Vacuum Instability
• On avoiding Ostrogradski instabilities within Asymptotic Safety
• Asymptotically flat black holes sourced by a massless scalar field
• Impact of generalized Yukawa interactions on the lower Higgs mass bound
• Asymptotically free scaling solutions in nonabelian Higgs models
• A lattice study of a chirally invariant Higgs-Yukawa model including a higher dimensional ${\Phi }^6$-term
• Universal behavior of coupled order parameters below three dimensions
• Scheme dependence of asymptotically free solutions
• Dark Horse, Dark Matter: Revisiting the SO(16)x SO(16)' Nonsupersymmetric Model in the LHC and Dark Energy Era
• Towards a Higgs mass determination in asymptotically safe gravity with a dark portal
• Indian Contributions to LHC Theory