Landau pole in the Standard Model with weakly interacting scalar fields

Abstract

We consider the Standard Model with a new scalar field $X$ which is a $n_X^{}$ representation of the $SU(2{)}_L$ with a hypercharge $Y_X$. The renormalization group running effects on the new scalar quartic coupling constants are evaluated. Even if we set the scalar quartic coupling constants to be zero at the scale of the new scalar field, the coupling constants are induced by the one-loop effect of the weak gauge bosons. Once non-vanishing couplings are generated, the couplings rapidly increase by renormalization group effect of the quartic coupling constant itself. As a result, the Landau pole appears below Planck scale if $n_X^{}\ge 4$. We find that the scale of the obtained Landau pole is much lower than that evaluated by solving the one-loop beta function of the gauge coupling constants.

arXiv comment8 pages, 2 figures, 2 tables(v1); published version(v2)

References in corpus (37)

• 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
• The Standard Model Higgs boson as the inflaton
• Higgs mass and vacuum stability in the Standard Model at NNLO
• Investigating the near-criticality of the Higgs boson
• Minimal Dark Matter
• Progress in Electroweak Baryogenesis
• Cosmology and Astrophysics of Minimal Dark Matter
• Higgs boson mass and new physics
• The top quark and Higgs boson masses and the stability of the electroweak vacuum
• Classically Conformal B-L extended Standard Model
• Higgs coupling constants as a probe of new physics
• Stability, Higgs Boson Mass and New Physics
• Higgs inflation at the critical point
• Standard Model Criticality Prediction: Top mass 173 +/- 5 GeV and Higgs mass 135 +/- 9 GeV
• A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
• Higgs inflation still alive
• Minimal Dark Matter: model and results
• The minimal B-L model naturally realized at TeV scale
• Electroweak baryogenesis and quantum corrections to the triple Higgs boson coupling
• The lifetime of the electroweak vacuum and sensitivity to Planck scale physics
• Planck Scale Boundary Conditions and the Higgs Mass
• Higgs inflation from Standard Model criticality
• Effective Action, Conformal Anomaly and the Issue of Quadratic Divergences
• Higgs boson and Top quark masses as tests of Electroweak Vacuum Stability
• Bare Higgs mass at Planck scale
• Predictions on mass of Higgs portal scalar dark matter from Higgs inflation and flat potential
• Probing exotic Higgs sectors from the precise measurement of Higgs boson couplings
• Constraints on large scalar multiplets from perturbative unitarity
• Higgs Inflation at NNLO after the Boson Discovery
• The Standard model as a low-energy effective theory: what is triggering the Higgs mechanism?
• The Higgs boson mixes with an SU(2) septet representation
• Solving the Naturalness Problem by Baby Universes in the Lorentzian Multiverse
• Constraining models with a large scalar multiplet
• Evidence of the Big Fix
• Vanishing Higgs potential at the Planck scale in a singlet extension of the standard model
• Topological Higgs inflation: The origin of the Standard Model criticality

Cited by in corpus (39)

• Gamma ray tests of Minimal Dark Matter
• Implication of the 750 GeV diphoton resonance on two-Higgs-doublet model and its extensions with Higgs field
• Gamma-rays from Heavy Minimal Dark Matter
• The 750 GeV diphoton excess and its explanation in 2-Higgs Doublet Models with a real inert scalar multiplet
• A Radiative Model for the Weak Scale and Neutrino Mass via Dark Matter
• Phenomenology of left-right symmetric dark matter
• Minimal conformal extensions of the Higgs sector
• Millicharge or Decay: A Critical Take on Minimal Dark Matter
• Subdominant Left-Right Scalar Dark Matter as Origin of the 750 GeV Di-photon Excess at LHC
• Unification of Gauge Couplings in Radiative Neutrino Mass Models
• Custodial symmetry violation in the Georgi-Machacek model
• Perturbativity Limits for Scalar Minimal Dark Matter with Yukawa Interactions: Septuplet
• Systematic U(1)_{B-L} Extensions of Loop-Induced Neutrino Mass Models with Dark Matter
• An $SU(2{)}_L$ Septet Scalar Linking to Radiative Neutrino Model
• Scalar Electroweak Multiplet Dark Matter
• Portals into Higgs vacuum stability
• N-loop running should be combined with N-loop matching
• Models of LHC Diphoton Excesses Valid up to the Planck scale
• Revisiting the R$\nu$MDM Models
• Vanishing Higgs Potential in Minimal Dark Matter Models
• Impact of Fermionic Electroweak Multiplet Dark Matter on Vacuum Stability with One-loop Matching
• Resummation and renormalons in a general Quantum Field Theory
• A new radiative neutrino mass generation mechanism with higher dimensional scalar representations and custodial symmetry
• Extended Higgs Sectors in Radiative Neutrino Models
• Large scalar multiplet dark matter in the high-mass region
• Scalar Quintuplet Minimal Dark Matter with Yukawa Interactions: Perturbative up to the Planck Scale
• Lepton Flavor Violation in the Inert Scalar Model with Higher Representations
• Minimal Dark Matter in the Local $B-L$ Extension
• Radiative neutrino models in light of diphoton signals
• Constraining the scalar septet model through vector boson scattering
• Probing quadruplet scalar dark matter at current and future $pp$ colliders
• Saddle point inflation in string-inspired theory
• LHC constraints on large scalar multiplet models with a $Z_2$ symmetry
• Fate of the scalar quartic couplings in the inert models
• Hidden SU(2)_D vector dark matter with a scalar septuplet
• Radiative accidental matter
• Thermal Real Scalar Triplet Dark Matter
• BSM Matter providing Neutrino Masses and Gauge Unification
• Confronting the real scalar septuplet minimal dark matter model with vacuum stability, perturbativity, and Type-I and Type-III seesaws