Abstract
We explore the phenomenology of scalar fields coupled to asymptotically safe quantum gravity, in light of their potential significance for dark matter, for the inflaton as well as dynamical dark energy, and in the Higgs sector in and beyond the Standard Model. This work is a step towards delineating the boundaries of the asymptotically safe swampland by exploiting the constraining power of the asymptotic-safety paradigm. Firstly, we strengthen indications that quantum gravitational fluctuations could drive scalar potentials towards flatness, with intriguing potential implications for inflation and dark energy. Secondly, we explore how asymptotic safety could rule out large parts of the parameter space in models for scalar dark matter. Thirdly, we discover hints that at an asymptotically safe fixed point with finite top quark mass, the non-minimal Higgs-curvature coupling could be constrained. Finally, by combining the constraining power of asymptotic safety in particle physics and cosmology, we find hints that Higgs inflation lies in the asymptotically safe swampland. In summary, we strengthen previous indications for the constraining power of asymptotic safety and the resulting large extent of the asymptotically safe swampland.
Highlights
We explore the phenomenology of scalar fields coupled to asymptotically safe quantum gravity, in light of their potential significance for dark matter, for the inflaton as well as dynamical dark energy, and in the Higgs sector in and beyond the Standard Model
Taking these manifold physics applications of fundamental scalars within the Standard Model, as dark matter, dark energy and as the inflaton as our motivation, we explore the interplay of asymptotically safe gravity with scalars and Yukawa systems, building on and extending previous work in [10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,35,36,37,38,39]
We have studied the interplay of scalar fields with quantum gravity
Summary
The experimental discovery of the Higgs particle [1,2] has shown that at least one fundamental scalar field might exist in nature. Planck constraints on inflationary potentials [42,48] might enable observational tests of the paradigm Taking these manifold physics applications of fundamental scalars within the Standard Model, as dark matter, dark energy and as the inflaton as our motivation, we explore the interplay of asymptotically safe gravity with scalars and Yukawa systems, building on and extending previous work in [10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,35,36,37,38,39]. We highlight that readers interested in formal aspects of functional renormalization group setups will find a study of auxiliary background-scalar field dependencies in Appendix A
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