Quantum gravity fluctuations flatten the Planck-scale Higgs-potential

• Verfasst von: Eichhorn, Astrid [VerfasserIn]
• Verfasst von: Lumma, Johannes [VerfasserIn]
• Verfasst von: Yamada, Masatoshi [VerfasserIn]
• Titel: Quantum gravity fluctuations flatten the Planck-scale Higgs-potential
• Verf.angabe: Astrid Eichhorn, Yuta Hamada, Johannes Lumma, and Masatoshi Yamada
• Ausgabe: Version v2
• E-Jahr: 2018
• Jahr: 31 Mar 2018
• Jahr des Originals: 2017
• Umfang: 16 S.
• Fussnoten: Version 1 vom 1. Dezember 2017, Version 2 vom 31. März 2018 ; Gesehen am 05.10.2022
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2018
• Band/Heft Quelle: (2018), Artikel-ID 1712.00319, Seite 1-16
• DOI: doi:10.48550/arXiv.1712.00319
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: High Energy Physics - Phenomenology
• Sach-SW: High Energy Physics - Theory
• Sach-SW: General Relativity and Quantum Cosmology
• K10plus-PPN: 1567049613

Abstract

We investigate asymptotic safety of a toy model of a singlet-scalar extension of the Higgs sector including two real scalar fields under the impact of quantum-gravity fluctuations. Employing functional renormalization group techniques, we search for fixed points of the system which provide a tentative ultraviolet completion of the system. We find that in a particular regime of the gravitational parameter space the canonically marginal and relevant couplings in the scalar sector -- including the mass parameters -- become irrelevant at the ultraviolet fixed point. The infrared potential for the two scalars that can be reached from that fixed point is fully predicted and features no free parameters. In the remainder of the gravitational parameter space, the values of the quartic couplings in our model are predicted. In light of these results, we discuss whether the singlet-scalar could be a dark-matter candidate. Furthermore, we highlight how "classical scale invariance" in the sense of a flat potential of the scalar sector at the Planck scale could arise as a consequence of asymptotic safety.