Renormalization Group Fixed Point with a Fourth Generation: Higgs-induced Bound States and Condensates

Abstract

In the Standard Model with four generations, the two-loop renormalization group equations for the Higgs quartic and Yukawa couplings have a fixed point structure. If the masses of the fourth family are sufficiently heavy, it will contain a natural scale ${\Lambda }_{FP}$ in the range of a few TeV to the order of $10^2$ TeV, above which the Higgs quartic and Yukawa couplings become practically constant. We found that around ${\Lambda }_{FP}$ the strong Yukawa couplings make it possible for the fourth generation to form bound states, including composite extra Higgs doublets. In this scenario the fourth generation condensates are obtained without introducing Technicolor or other unknown interactions.

22 pages, 10 figures

References in corpus (9)

• Low-Scale Technicolor at the Tevatron and LHC
• The discovery of the fourth family at the LHC: what if?
• Four Generations, the Electroweak Phase Transition, and Supersymmetry
• Experimental constraints on fourth generation quark masses
• Source of CP Violation for the Baryon Asymmetry of the Universe
• Source of CP Violation for Baryon Asymmetry of the Universe
• Implication of a Quasi Fixed Point with a Heavy Fourth Generation: The emergence of a TeV-scale physical cutoff
• Dynamical Electroweak Symmetry Breaking with a Heavy Fourth Generation
• Bounding CKM Mixing with a Fourth Family

Cited by in corpus (46)

• Less space for a new family of fermions
• Implication of a Quasi Fixed Point with a Heavy Fourth Generation: The emergence of a TeV-scale physical cutoff
• Two Higgs doublets with 4th generation fermions - models for TeV-scale compositeness
• Dynamical Electroweak Symmetry Breaking with a Heavy Fourth Generation
• Long Lived Fourth Generation and the Higgs
• Higgs data confronts Sequential Fourth Generation Fermions in the Higgs Triplet Model
• Scalar leptoquarks and Higgs pair production at the LHC
• Electroweak precision constraints on the electroweak-scale right-handed neutrino model
• Fourth Generation Bound States
• Approaching a strong fourth family
• Anomalous single production of fourth generation $t^{\prime }$ quarks at ILC and CLIC
• Proton stability from a fourth family
• Collider signals of a composite Higgs in the Standard Model with four generations
• An A_5 Model of Four Lepton Generations
• The 125 GeV Higgs in the context of four generations with 2 Higgs doublets
• A unified composite model of inflation and dark matter in the Nambu-Jona-Lasinio theory
• Neutrino dark matter candidate in fourth generation scenarios
• Large mass splittings for fourth generation fermions allowed by LHC Higgs exclusion
• K_1(1270)-K_1(1400) mixing and the fourth generation SM effects in B-->K_1l^+l^- decays
• Probing the fourth generation Majorana neutrino dark matter
• Observation of CP violation in $D^0\to K^{-}{\pi }^{+}$ as a smoking gun for New Physics
• Electroweak Constraints on the Fourth Generation at Two Loop Order
• Hybrid dynamical electroweak symmetry breaking with heavy quarks and the 125 GeV Higgs
• Status of the Fourth Generation - A Brief Summary of B3SM-III Workshop in Four Parts
• Fourth Generation Majorana Neutrinos
• The Need for New Search Strategies for Fourth Generation Quarks at the LHC
• Neutrino Masses and a Fourth Generation of Fermions
• Fourth generation quark mass limits in CKM-element space
• Detecting Fourth Generation Quarks at Hadron Colliders
• Binary Icosahedral Flavor Symmetry for Four Generations of Quarks and Leptons
• Two heavy fermions bound via Higgs boson exchange
• Three Generations in Minimally Extended Standard Models
• Fourth generation Majorana neutrino, dark matter and Higgs physics
• Fourth-generation SM imprints in B -> K^*l^+l^- decays with polarized K^*
• Dynamical Symmetry Breaking With a Fourth Generation
• Chiral heavy fermions in a two Higgs doublet model: 750 GeV resonance or not
• Higgs Phenomenology in Warped Extra-Dimensions with a 4th Generation
• Conformal Completion of the Standard Model with a Fourth Generation
• Is the Higgs Boson Composed of Neutrinos?
• Finite-size scaling for four-dimensional Higgs-Yukawa model near the Gaussian fixed point
• Bounds on fourth generation induced Lepton Flavour Violating double insertions in Supersymmetry
• Anomalous single production of fourth family up type quark associated with neutral gauge bosons at the LHC
• Natural Four-Generation Mass Textures in MSSM Brane Worlds
• Z'-> ggg decay in left-right symmetric models with three and four fermion families
• Analyzing the anomalous dipole moment type couplings of heavy quarks with FCNC interactions at the CLIC
• Dynamical Electroweak Symmetry Breaking with a heavy fermion in light of recent LHC results