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arXiv:2112.06314·v2·High Energy Physics — Theory

Effective quantum gravity, cosmological constant and the Standard Model of particle physics

Breno L. Giacchini🇨🇳 · Tibério de Paula Netto🇨🇳 · Ilya L. Shapiro🇧🇷

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Abstract

The renormalization group in effective quantum gravity can be consistently formulated using the Vilkovisky and DeWitt version of effective action and assuming a non-zero cosmological constant. Taking into account that the vacuum counterpart of the cosmological constant is dramatically different from the observed energy density of vacuum, the running of the last quantity in the late cosmology indicates strong constraints on the physics beyond the minimal Standard Model of particle physics.

Comments: 15 pages, no figures. Added discussions concerning the general status of the Vilkovisky-DeWitt effective action, corresponding references, and the new Appendix, illustrating the choice of the metric. Conclusions are unchanged. Fits the version accepted in PRD

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