Solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory

By Robin Foot, A. Kobakhidze, K. L. McDonald, R. Volkas. 2007

226 citations recorded by the source corpus.

If scale invariance is a classical symmetry then both the Planck scale and the weak scale should emerge as quantum effects. We show that this can be realized in simple scale invariant theories with a hidden sector. The weak/Planck scale hierarchy emerges in the (technically natural) limit in which the hidden sector decouples from the ordinary sector. In this limit, finite corrections to the weak scale are consequently small, while quadratic divergences are absent by virtue of classical scale invariance, so there is no hierarchy problem.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/13b1a188fe3373bc3814cd6013bdaf12f0751381

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In Nuclear and High Energy Physics

Citations in the corpus

Emergence of the electroweak scale through the Higgs portal (2013, methodology): “In a pre-LHC context this simple model has already been discussed in [8, 9] along with a variety of other similar scalar field models in [10–18].”
Natural tuning: towards a proof of concept (2013, result): “ronmental selection, this will be a truly novel behavior, never observed in the past. This scenario is partially inspired by several earlier discussions in the literature, including [11{14] (see also [15,16]). At the 1 most basic level it reduces to postulating that the ne-tuning problem is an artif”
The minimal scale invariant extension of the Standard Model (2010, background): “Addressing this problem lies beyond the scope of this work, but we note that attempts have been made in the literature [15, 16, 18, 19] to provide SI descriptions of quantum gravity.”
Higgs inflation from Standard Model criticality (2014, background): “In this paper, we pursue the possibility that λ(μmin) ' 0 is realized by a principle beyond the ordinary local field theory, such as the multiple point criticality principle [35, 113, 114], classical conformality [26–31, 115–117], asymptotic safety [118], the hidden duality and symmetry [119, 120], ”
Dynamically induced Planck scale and inflation (2015, background): “J H E P 0 5 ( 2 0 1 5 ) 0 6 5 classical scale invariance and dynamical generation of mass scales [8–39].”
Physics at a 100 TeV pp collider: Higgs and EW symmetry breaking studies (2016, background): “Such scenarios can for example arise from radiative symmetry breaking in the dark sector [363, 364].”