Safe Pati-Salam

Abstract

We provide an asymptotically safe Pati-Salam embedding of the Standard Model. Safety is achieved by adding to the theory gauged vector-like fermions and by employing recently developed large number-of-flavor techniques and results. We show that the gauge, scalar quartic and Yukawa couplings achieve an interacting ultraviolet fixed point below the Planck scale. The minimal model is a relevant example of a Standard Model extension in which unification of all type of couplings occurs because of a dynamical principle, i.e. the presence of an ultraviolet fixed point. This extension differs from the usual Grand Unified Theories scenario in which only gauge couplings unify and become free with the remaining couplings left unsafe. We find renormalization group flow solutions that match the Standard Model couplings values at low energies allowing for realistic safe extensions of the Standard Model.

arXiv comment21 pages, 16 figures; New section of matching the Standard Model is added

References in corpus (44)

• Theory and phenomenology of two-Higgs-doublet models
• Orientifold theory dynamics and symmetry breaking
• Walking in the SU(N)
• Asymptotic safety guaranteed
• UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond
• New Limit on Muon and Electron Lepton Number Violation from $K_L^0\to {\mu }^{\pm }{e}^{\mp }$ Decay
• Upper bound on the Abelian gauge coupling from asymptotic safety
• The QCD beta-function at O(1/N_f)
• Vacuum stability of asymptotically safe gauge-Yukawa theories
• Quark-Lepton Unification and Rare Meson Decays
• Radiative Symmetry Breaking of the Minimal Left-Right Symmetric Model
• Directions for model building from asymptotic safety
• Nonminimal hints for asymptotic safety
• Large N flavor beta-functions: a recap
• Beta Function and Anomalous Dimensions
• Asymptotically Safe Standard Model via Vector-Like Fermions
• Asymptotically Safe Standard Model Extensions?
• Conformal Window 2.0: The Large $N_f$ Safe Story
• Study of Possible Ultraviolet Zero of the Beta Function in Gauge Theories with Many Fermions
• Quantum-gravity predictions for the fine-structure constant
• Asymptotically Safe Grand Unification
• Conformal Extensions of the Standard Model with Veltman Conditions
• Probing Baryogenesis through the Higgs Self-Coupling
• Asymptotic safety guaranteed in supersymmetry
• Constraints on ultraviolet-stable fixed points in supersymmetric gauge theories
• Gauge-Yukawa theories: Beta functions at large $N_f$
• Radiative symmetry breaking from interacting UV fixed points
• Resurrecting Minimal Yukawa Sector of SUSY SO(10)
• Gravity, Scale Invariance and the Hierarchy Problem
• Prospects for mass unification at low energy scales
• Collider Constraints and Prospects of a Scalar Singlet Extension to Higgs Portal Dark Matter
• Framework for an asymptotically safe Standard Model via dynamical breaking
• Assessing Perturbativity and Vacuum Stability in High-Scale Leptogenesis
• Gauge contribution to the $1/N_F$ expansion of the Yukawa coupling beta function
• Signal for a light singlet scalar at the LHC
• The $\beta$-function for Yukawa theory at large $N_f$
• $\beta$-functions in large-$N_f$ supersymmetric gauge theories
• Proton decay and new contribution to neutrino-less double beta decay in SO(10) with low-mass Z-prime boson, observable n-nbar oscillation, lepton flavor violation, and rare kaon decay
• Safe SUSY
• Naturalness of asymptotically safe Higgs
• High scale boundary conditions with an additional complex singlet
• Challenging Asymptotic Freedom
• Large-N supersymmetric beta-functions
• Asymptotic safety in the dark

Cited by in corpus (23)

• Zooming in on fermions and quantum gravity
• Gravitational Waves from Pati-Salam Dynamics
• Large $N_f$ quantum field theory
• Predictive power of grand unification from quantum gravity
• Safe Trinification
• Untangling scaling dimensions of fixed charge operators in Higgs Theories
• Safe Clockwork
• Towards the QED beta function and renormalons at $1/N_f^2$ and $1/N_f^3$
• The free and safe fate of symmetry non-restoration
• Beyond the standard model with six-dimensional spinors
• A complete asymptotically safe embedding of the Standard Model
• Yukawa interactions at Large Charge
• Asymptotically safe dark matter with gauged baryon number
• Minimal SU(5) Asymptotic Grand Unification
• A critical look at $\beta$-function singularities at large $N$
• Scheme dependence of asymptotically free solutions
• An asymptotically safe guide to quantum gravity and matter
• An asymptotically safe SU(5) GUT
• Is asymptotically safe inflation eternal?
• Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings
• Large $N_f$ for multiple representations
• Asymptotic grand unification in SO(10) with one extra dimension
• Asymptotic Ultraviolet-safe Unification of Gauge and Yukawa Couplings: The exceptional case