Asymptotically safe and free chiral theories with and without scalars

Abstract

We unveil the dynamics of four dimensional chiral gauge-Yukawa theories featuring several scalar degrees of freedom transforming according to distinct representations of the underlying gauge group. We consider generalized Georgi-Glashow and Bars-Yankielowicz theories. We determine, to the maximum known order in perturbation theory, the phase diagram of these theories and further disentangle their ultraviolet asymptotic nature according to whether they are asymptotically free or safe. We therefore extend the number of theories that are known to be fundamental in the Wilsonian sense to the case of chiral gauge theories with scalars.

ReVTeX, 28 pages, 14 figures

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Cited by in corpus (13)

• Towards apparent convergence in asymptotically safe quantum gravity
• Asymptotically Safe Standard Model via Vector-Like Fermions
• Asymptotically Safe Standard Model Extensions?
• Asymptotically Safe Grand Unification
• Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality
• Phase structure of complete asymptotically free SU($N_c$) theories with quarks and scalar quarks
• Assessing Perturbativity and Vacuum Stability in High-Scale Leptogenesis
• Safe Trinification
• Safe Glueballs and Baryons
• Safe SUSY
• Scheme dependence of asymptotically free solutions
• Naturalness of asymptotically safe Higgs
• Conformal Data of Fundamental Gauge-Yukawa Theories