Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking

Abstract

We investigate the effects of four-fermion interactions on the phase diagram of strongly interacting theories for any representation as function of the number of colors and flavors. We show that the conformal window, for any representation, shrinks with respect to the case in which the four-fermion interactions are neglected. The anomalous dimension of the mass increases beyond the unity value at the lower boundary of the new conformal window. We plot the new phase diagram which can be used, together with the information about the anomalous dimension, to propose ideal models of walking technicolor. We discover that when the extended technicolor sector, responsible for giving masses to the standard model fermions, is sufficiently strongly coupled the technicolor theory, in isolation, must have an infrared fixed point for the full model to be phenomenologically viable. Using the new phase diagram we show that the simplest one family and minimal walking technicolor models are the archetypes of models of dynamical electroweak symmetry breaking. Our predictions can be verified via first principle lattice simulations.

RevTeX4, 22 pages, 16 figures

References in corpus (29)

• WIMP Annihilation and Cooling of Neutron Stars
• Decaying Dark Matter can explain the electron/positron excesses
• Dark Matter from new Technicolor Theories
• Ultra Minimal Technicolor and its Dark Matter TIMP
• Minimal Walking Technicolor: Set Up for Collider Physics
• Towards Working Technicolor: Effective Theories and Dark Matter
• Supersymmetry Inspired QCD Beta Function
• Composite dark matter from a model with composite Higgs boson
• Nearly conformal gauge theories in finite volume
• Strong Interactive Massive Particles from a Strong Coupled Theory
• Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World
• Technicolor Walks at the LHC
• The infrared dynamics of Minimal Walking Technicolor
• Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Conformality or confinement: (IR)relevance of topological excitations
• Unparticle & Higgs as Composites
• Dark Majorana Particles from the Minimal Walking Technicolor
• Comments on lattice gauge theories with infrared-attractive fixed points
• The WIMP of a Minimal Technicolor Theory
• Study of the Change from Walking to Non-Walking Behavior in a Vectorial Gauge Theory as a Function of Nf
• The Electroweak Phase Transition in Nearly Conformal Technicolor
• Gauge Coupling Unification via A Novel Technicolor Model
• Constraining Walking and Custodial Technicolor
• Topology and higher dimensional representations
• Z Boson Propagator Correction in Technicolor Theories with ETC Effects Included
• Muon Flux Limits for Majorana Dark Matter Particles
• QCD Dual
• A mass-dependent beta-function
• Anatomy of Top-Mode Extended Technicolor Model

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• Mass anomalous dimension in SU(2) with six fundamental fermions
• Hot Conformal Gauge Theories
• Physics of the Non-Abelian Coulomb Phase: Insights from Padé Approximants
• Dual of QCD with One Adjoint Fermion
• The SU(3) Sextet Model with Wilson Fermions
• Technicolor and Beyond: Unification in Theory Space
• The Standard Model is Natural as Magnetic Gauge Theory
• Anomalous mass dimension of multi-flavor QCD
• Nambu-Jona-Lasinio model with Wilson fermions
• Any Room Left for Technicolor? Holographic Studies of NJL Assisted Technicolour
• Fundamental scalar field with zero dimension from anomaly cancelations
• Anomalous mass dimensions and Schwinger-Dyson equations boundary condition
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