Gradient effects on false vacuum decay in gauge theory
Open accessAbstract
We study false vacuum decay for a gauged complex scalar field in a polynomial potential with nearly degenerate minima. Radiative corrections to the profile of the nucleated bubble as well as the full decay rate are computed in the planar thin-wall approximation using the effective action. This allows to account for the inhomogeneity of the bounce background and the radiative corrections in a self-consistent manner. In contrast to scalar or fermion loops, for gauge fields one must deal with a coupled system that mixes the Goldstone boson and the gauge fields, which considerably complicates the numerical calculation of Green's functions. In addition to the renormalization of couplings, we employ a covariant gradient expansion in order to systematically construct the counterterm for the wave-function renormalization. The result for the full decay rate however does not rely on such an expansion and accounts for all gradient corrections at the chosen truncation of the loop expansion. The ensuing gradient effects are shown to be of the same order of magnitude as nonderivative one-loop corrections.
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The ratio of functional determinants is computed using the resolvent method, developed in prior work and used in other works.
“To do so, we employ the resolvent method , developed in [24-27] and used in, e.g., [17, 28-30].”
From Double-well instantons in finite volume (2024) · cites this paper as [30]
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Higgs mass and vacuum stability in the Standard Model at NNLO
Degrassi, G., Di Vita, S., Elias-Miró, J., Espinosa, J. R., Giudice, G. F., Isidori, G., & Strumia, A. (2012) · Journal of High Energy Physics · doi:10.1007/jhep08(2012)098 · Cited by 1,524 · see citing works
Investigating the near-criticality of the Higgs boson
Buttazzo, D., Degrassi, G., Giardino, P. P., Giudice, G. F., Sala, F., Salvio, A., & Strumia, A. (2013) · Journal of High Energy Physics · doi:10.1007/jhep12(2013)089 · Cited by 1,095 · see citing works
Convexity, gauge-dependence and tunneling rates
Plascencia, A. D., & Tamarit, C. (2016) · Journal of High Energy Physics · doi:10.1007/jhep10(2016)099 · Cited by 64 · see citing works
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Research works printed but not linked: 32
- G. Aad et al. (ATLAS Collaboration), Phys. Lett. B 716, 1 (2012). · DOI
- S. Chatrchyan et al. (CMS Collaboration), Phys. Lett. B 716, 30 (2012). · DOI
- J. Elias-Miro, J. R. Espinosa, G. F. Giudice, G. Isidori, A. Riotto, and A. Strumia, Phys. Lett. B 709, 222 (2012). · DOI · Paper page
- G. Isidori, G. Ridolfi, and A. Strumia, Nucl. Phys. B609, 387 (2001). · DOI
- V. Branchina, E. Messina, and M. Sher, Phys. Rev. D 91, 013003 (2015). · DOI
- L. Di Luzio, G. Isidori, and G. Ridolfi, Phys. Lett. B 753, 150 (2016). · DOI
- S. Chigusa, T. Moroi, and Y. Shoji, Phys. Rev. Lett. 119, 211801 (2017). · DOI
- A. Andreassen, W. Frost, and M. D. Schwartz, Phys. Rev. D 97, 056006 (2018). · DOI
- S. R. Coleman, Phys. Rev. D 15, 2929 (1977); 16, 1248(E) (1977). · DOI
- C. G. Callan, Jr. and S. R. Coleman, Phys. Rev. D 16, 1762 (1977). · DOI · Paper page
- S. R. Coleman and E. J. Weinberg, Phys. Rev. D 7, 1888 (1973). · DOI
- B. Garbrecht and P. Millington, Phys. Rev. D 91, 105021 (2015). · DOI · Paper page
- B. Garbrecht and P. Millington, Phys. Rev. D 92, 125022 (2015). · DOI
- W.-Y. Ai, B. Garbrecht, and P. Millington, Phys. Rev. D 98, 076014 (2018). · DOI · Paper page
- B. Garbrecht and P. Millington, Phys. Rev. D 98, 016001 (2018). · DOI · Paper page
- A. Andreassen, D. Farhi, W. Frost, and M. D. Schwartz, Phys. Rev. D 95, 085011 (2017). · DOI
- W.-Y. Ai, B. Garbrecht, and C. Tamarit, J. High Energy Phys. 12 (2019) 095. · DOI · Paper page
- J. L. Gervais and B. Sakita, Phys. Rev. D 11, 2943 (1975). · DOI
- R. Jackiw, Phys. Rev. D 9, 1686 (1974). · DOI · Paper page
- J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D 10, 2428 (1974). · DOI
- B. Garbrecht and P. Millington, Nucl. Phys. B906, 105 (2016). · DOI
- P. Millington and P. M. Saffin, J. Phys. A 52, 405401 (2019). · DOI · Paper page
- M. Endo, T. Moroi, M. M. Nojiri, and Y. Shoji, J. High Energy Phys. 11 (2017) 074. · DOI
- J. Baacke and S. Junker, Phys. Rev. D 49, 2055 (1994). · DOI · Paper page
- J. Baacke and S. Junker, Mod. Phys. Lett. A 08, 2869 (1993). · DOI · Paper page
- J. Baacke, Phys. Rev. D 78, 065039 (2008). · DOI · Paper page
- L.-H. Chan, Phys. Rev. Lett. 54, 1222 (1985). · DOI
- O. Cheyette, Phys. Rev. Lett. 55, 2394 (1985). · DOI
- M. K. Gaillard, Nucl. Phys. B268, 669 (1986). · DOI
- L.-H. Chan, Phys. Rev. Lett. 57, 1199 (1986). · DOI
- O. Cheyette, Nucl. Phys. B297, 183 (1988). · DOI
- B. Henning, X. Lu, and H. Murayama, J. High Energy Phys. 01 (2016) 023. · DOI
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Double-well instantons in finite volume
Ai, W.-Y., Alexandre, J., Carosi, M., Garbrecht, B., & Pla, S. (2024) · Journal of High Energy Physics · doi:10.1007/jhep05(2024)099 · Cited by 6 · see citing works
Self-citation
- Authors
- Ai, W.-Y., Cruz, J. S., Garbrecht, B., & Tamarit, C.
- Affiliations
- UCLouvain (BE)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2020-10-02
- Volume
- 102
- Issue
- 8
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W3035596487
- Cited by
- 17
- References
- 3
- Citations by year
- 2025: 2 · 2024: 5 · 2023: 3 · 2022: 3 · 2021: 2 · 2020: 2
- FWCI
- 1.11
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Physical review. D/Physical review. D. (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- mediaTUM – the media and publications repository of the Technical University Munich (Technical University Munich) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- Deutsche Forschungsgemeinschaft
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- false vacuum decay, gradient correction, thin-wall approximation, effective action, radiative corrections, bubble nucleation, Goldstone bosons, wave function renormalization, one-loop corrections, decay rate
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