Abstract
In this work, a novel mechanism for spontaneous symmetry breaking is presented. This mechanism avoids quadratic divergencies and is thus capable of addressing the hierarchy problem in gauge theories. Using the scale-dependent effective action $\Gamma_{k}$ minimally coupled to a gravitational sector, variational parameter setting is applied. This provides a mass and vacuum expectation value as a function of the constants arising in the low scale expansion of Newtons' and cosmological couplings. A comparison with experimental data, such as the Higgs mass, allows putting restrictions on these constants. With this generic approach one can compare with explicit candidates for an effective field theory of gravity. As an example, we use the asymptotic safety scenario, where we find restrictions on the matter content of the theory.
Highlights
The Standard Model describes the elementary particles and their interactions in a successful way
[97]—Because the experimental uncertainty on the Higgs mass mH is much larger than the uncertainty on the vacuum expectation value (VEV) of the Higgs field measured in the muon decay vH, only the best fit value v 1⁄4 246.2197 will be considered to fix m0 as a function of the gravitational parameters ξΛ ;1 and ξΛ ;2. (ii) ξΛ ;2 > 0.—When the two preceding points are applied to (4.7b), the bound on ξΛ ;2 arises from imposing real values for mη
A novel mechanism for spontaneous symmetry breaking is suggested that circumvents the appearance of quadratic divergences by avoiding the breaking from taking place at the classical level
Summary
The Standard Model describes the elementary particles and their interactions in a successful way. It does not contain a description of gravitational interactions, and there are some problems with the natural implementation of spontaneous symmetry breaking (SSB) [1,2,3,4,5,6]
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