Higgs potential from Wick rotation in conformal BSM
Abstract
It is well known that in order to make the path integral of general relativity converge, one has to perform the Wick rotation over the conformal factor in addition to the more familiar Wick rotation of the time axis to pass to the spacetime with Euclidean signature. In this paper, we will apply this technique to a scalar field in the conformally invariant scalar–tensor gravity with a conformally invariant beyond-standard-model (BSM). It is then shown that a potential term in the conformally invariant potential, which corresponds to the Higgs mass term in the Higgs potential of the Standard Model (SM), can have a negative coefficient. The change of sign of the potential term naturally induces spontaneous symmetry breakdown of the electroweak gauge symmetry after symmetry breaking of conformal symmetry (local scale symmetry) via the Coleman–Weinberg mechanism around the Planck scale. This study might shed light on the fact that the existence of a stable vacuum in quantum gravity is relevant to that in the SM.
References
- 1.
ATLAS Collab. (), Phys. Lett. B 716, 1 (2012). Crossref, ISI, ADS, Google Scholar - 2.
CMS Collab. (), Phys. Lett. B 716, 30 (2012). Crossref, ISI, ADS, Google Scholar - 3. , JHEP 1312, 089 (2013). Crossref, ISI, ADS, Google Scholar
- 4. , Phys. Rev. D 87, 053009 (2013) [Erratum-ibid. 89, 059901 (2014)]. Crossref, ISI, ADS, Google Scholar
- 5. , Eur. Phys. J. C 78, 798 (2018). Crossref, ISI, ADS, Google Scholar
- 6. , Phys. Rev. D 87, 065025 (2013). Crossref, ISI, ADS, Google Scholar
- 7. , Phys. Lett. B 724, 160 (2013). Crossref, ISI, ADS, Google Scholar
- 8. , Adv. Stud. Theor. Phys. 8, 215 (2014). Crossref, Google Scholar
- 9. , Eur. Phys. J. C 77, 284 (2017). Crossref, ISI, ADS, Google Scholar
- 10. , Ann. Phys. 528, 20 (2016). Crossref, ISI, Google Scholar
- 11. W. A. Bardeen, FERMILAB-CONF-95-391-T. Google Scholar
- 12. , Phys. Rev. D 7, 1888 (1973). Crossref, ISI, ADS, Google Scholar
- 13. , Phys. Lett. B 379, 153 (1996). Crossref, ISI, ADS, Google Scholar
- 14. , Phys. Lett. B 671, 162 (2009). Crossref, ISI, ADS, Google Scholar
- 15. , Nucl. Phys. B 138, 141 (1978). Crossref, ISI, ADS, Google Scholar
- 16. , Nucl. Phys. B 341, 187 (1990). Crossref, ISI, ADS, Google Scholar
- 17. , An Introduction to Covariant Quantum Gravity and Asymptotic Safety (World Scientific Publishing Co., 2017). Link, Google Scholar
- 18. , Gravitation (W. H. Freeman and Co., 1973). Google Scholar
- 19. , J. Math. Phys. 14, 456 (1973). Crossref, ISI, ADS, Google Scholar
| Remember to check out the Most Cited Articles! |
|---|
|
Boost your collection with these new physics books today! |
