Phase structure of complete asymptotically free SU($N_c$) theories with quarks and scalar quarks

Abstract

We determine the phase diagram of complete asymptotically free SU($N_c$) gauge theories featuring $N_s$ complex scalars and $N_f$ Dirac quarks transforming according to the fundamental representation of the gauge group. The analysis is performed at the maximum known order in perturbation theory. We unveil a very rich dynamics and associated phase structure. Intriguingly we discover that the complete asymptotically free conditions guarantee that the infrared dynamics displays long distance conformality, and in a regime when perturbation theory is applicable. We conclude our analysis by determining the quantum corrected potential of the theory and summarising the possible patterns of radiative symmetry breaking. These theories are of potential phenomenological interest as either elementary or composite ultraviolet finite extensions of the Standard Model.

arXiv comment37 pages, 16 figures, including several appendices

References in corpus (30)

• Lectures on supersymmetric gauge theories and electric-magnetic duality
• The Lightest Higgs Boson Mass in the Minimal Supersymmetric Standard Model
• Asymptotic safety guaranteed
• Fundamental Composite (Goldstone) Higgs Dynamics
• UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond
• An asymptotically safe solution to the U(1) triviality problem
• Viability of quantum-gravity induced ultraviolet completions for matter
• Vacuum stability of asymptotically safe gauge-Yukawa theories
• Implications of TeV Flavor Physics for the ΔI =1/2 Rule and the B-meson Semileptonic Branching Ratio
• Softened Gravity and the Extension of the Standard Model up to Infinite Energy
• Is the Higgs Boson Associated with Coleman-Weinberg Dynamical Symmetry Breaking?
• Uncovering Mass Generation Through Higgs Flavor Violation
• Fundamental partial compositeness
• Viable dark matter via radiative symmetry breaking in a scalar singlet Higgs portal extension of the standard model
• Asymptotically Safe Grand Unification
• The a theorem for Gauge-Yukawa theories beyond Banks-Zaks
• Stable Asymptotically Free Extensions (SAFEs) of the Standard Model
• Radiative symmetry breaking from interacting UV fixed points
• Fermion Masses without Higgs: A Supersymmetric Technicolor Model
• Conformal Complex Singlet Extension of the Standard Model: Scenario for Dark Matter and a Second Higgs Boson
• Quantum Critical Behaviour of Semi-Simple Gauge Theories
• Is Radiative Electroweak Symmetry Breaking Consistent with a 125 GeV Higgs Mass?
• Is scale-invariance in gauge-Yukawa systems compatible with the graviton?
• Nonabelian Higgs models: paving the way for asymptotic freedom
• Multi-scale Renormalization Group Methods for Effective Potentials with Multiple Scalar Fields
• Minimal Fundamental Partial Compositeness
• Asymptotically safe and free chiral theories with and without scalars
• Naturalness of asymptotically safe Higgs
• Asymptotic freedom in certain $SO(N)$ and $SU(N)$ models
• Conformal Phase Diagram of Complete Asymptotically Free Theories

Cited by in corpus (20)

• Flavor Physics and Flavor Anomalies in Minimal Fundamental Partial Compositeness
• Gravitational Waves from Pati-Salam Dynamics
• Charging the Walking U(N)$\times$U(N) Higgs Theory as a Complex CFT
• Conformality Loss, Walking, and 4D Complex Conformal Field Theories at Weak Coupling
• Phase transitions in perturbative walking dynamics
• Holographic Complex Conformal Field Theories
• Safe Trinification
• General scalar renormalisation group equations at three-loop order
• The free and safe fate of symmetry non-restoration
• Thermal order in large N conformal gauge theories
• Scheme dependence of asymptotically free solutions
• Multiple Mass Hierarchies from Complex Fixed Point Collisions
• Renormalization Group Flow of the Higgs Potential
• Light Higgs boson from multi-phase criticality in dynamical symmetry breaking
• Conformal Data of Fundamental Gauge-Yukawa Theories
• Real and Complex Fundamental Partial Compositeness
• Tests of the Charge Convexity Conjecture in Caswell-Banks-Zaks Theory
• On Convexity of Charged Operators in CFTs and the Weak Gravity Conjecture
• Non-perturbative Aspects of Quantum Field Theories from Holography
• RG Flow and Symmetry Breaking in a Weakly Coupled Model