Vacuum stability of asymptotically safe gauge-Yukawa theories

Abstract

We study the phase diagram and the stability of the ground state for certain four-dimensional gauge-Yukawa theories whose high-energy behaviour is controlled by an interacting fixed point. We also provide analytical and numerical results for running couplings, their crossover scales, the separatrix, and the Coleman-Weinberg effective potential. Classical and quantum stability of the vacuum is established.

22 pages, 7 figures; explanations added, match with published version

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• Asymptotic safety guaranteed
• Softened Gravity and the Extension of the Standard Model up to Infinite Energy
• Stable Asymptotically Free Extensions (SAFEs) of the Standard Model

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