Abstract
The recently suggested Festina-Lente (FL) bound provides a lower bound on the masses of U(1) charged particles in terms of the positive vacuum energy. Since the charged particle masses in the Standard Model (SM) are generated by the Higgs mechanism, the FL bound provides a testbed of consistent Higgs potentials in the current dark energy-dominated universe as well as during inflation. We study the implications of the FL bound on the UV behavior of the Higgs potential for a miniscule vacuum energy, as in the current universe. We also present values of the Hubble parameter and the Higgs vacuum expectation value allowed by the FL bound during inflation, which implies that the Higgs cannot stay at the electroweak scale during this epoch.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
C. Vafa, The String landscape and the swampland, hep-th/0509212 [INSPIRE].
T.D. Brennan, F. Carta and C. Vafa, The String Landscape, the Swampland, and the Missing Corner, PoS TASI2017 (2017) 015 [arXiv:1711.00864] [INSPIRE].
E. Palti, The Swampland: Introduction and Review, Fortsch. Phys. 67 (2019) 1900037 [arXiv:1903.06239] [INSPIRE].
M. Graña and A. Herráez, The Swampland Conjectures: A Bridge from Quantum Gravity to Particle Physics, Universe 7 (2021) 273 [arXiv:2107.00087] [INSPIRE].
S.C. Park, Minimal gauge inflation and the refined Swampland conjecture, JCAP 01 (2019) 053 [arXiv:1810.11279] [INSPIRE].
D.Y. Cheong, S.M. Lee and S.C. Park, Higgs Inflation and the Refined dS Conjecture, Phys. Lett. B 789 (2019) 336 [arXiv:1811.03622] [INSPIRE].
M.-S. Seo, de Sitter swampland bound in the Dirac-Born-Infeld inflation model, Phys. Rev. D 99 (2019) 106004 [arXiv:1812.07670] [INSPIRE].
G. Obied, H. Ooguri, L. Spodyneiko and C. Vafa, de Sitter Space and the Swampland, arXiv:1806.08362 [INSPIRE].
D. Andriot and C. Roupec, Further refining the de Sitter swampland conjecture, Fortsch. Phys. 67 (2019) 1800105 [arXiv:1811.08889] [INSPIRE].
S.K. Garg and C. Krishnan, Bounds on Slow Roll and the de Sitter Swampland, JHEP 11 (2019) 075 [arXiv:1807.05193] [INSPIRE].
H. Ooguri, E. Palti, G. Shiu and C. Vafa, Distance and de Sitter Conjectures on the Swampland, Phys. Lett. B 788 (2019) 180 [arXiv:1810.05506] [INSPIRE].
M.-S. Seo, The entropic quasi-de Sitter instability time from the distance conjecture, Phys. Lett. B 807 (2020) 135580 [arXiv:1911.06441] [INSPIRE].
R.-G. Cai and S.-J. Wang, A refined trans-Planckian censorship conjecture, Sci. China Phys. Mech. Astron. 64 (2021) 210011 [arXiv:1912.00607] [INSPIRE].
A.G. Cohen, D.B. Kaplan and A.E. Nelson, Effective field theory, black holes, and the cosmological constant, Phys. Rev. Lett. 82 (1999) 4971 [hep-th/9803132] [INSPIRE].
M.-S. Seo, Implication of the swampland distance conjecture on the Cohen-Kaplan-Nelson bound in de Sitter space, arXiv:2106.00138 [INSPIRE].
R. Penrose, Gravitational collapse: The role of general relativity, Riv. Nuovo Cim. 1 (1969) 252 [INSPIRE].
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force, JHEP 06 (2007) 060 [hep-th/0601001] [INSPIRE].
M. Montero, T. Van Riet and G. Venken, Festina Lente: EFT Constraints from Charged Black Hole Evaporation in de Sitter, JHEP 01 (2020) 039 [arXiv:1910.01648] [INSPIRE].
M. Montero, C. Vafa, T. Van Riet and G. Venken, The FL bound and its phenomenological implications, JHEP 10 (2021) 009 [arXiv:2106.07650] [INSPIRE].
M. Sher, Electroweak Higgs Potentials and Vacuum Stability, Phys. Rept. 179 (1989) 273 [INSPIRE].
G. Degrassi et al., Higgs mass and vacuum stability in the Standard Model at NNLO, JHEP 08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
A. Hook, J. Kearney, B. Shakya and K.M. Zurek, Probable or Improbable Universe? Correlating Electroweak Vacuum Instability with the Scale of Inflation, JHEP 01 (2015) 061 [arXiv:1404.5953] [INSPIRE].
T. Markkanen, A. Rajantie and S. Stopyra, Cosmological Aspects of Higgs Vacuum Metastability, Front. Astron. Space Sci. 5 (2018) 40 [arXiv:1809.06923] [INSPIRE].
J.R. Espinosa et al., The cosmological Higgstory of the vacuum instability, JHEP 09 (2015) 174 [arXiv:1505.04825] [INSPIRE].
A.H. Guth, The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems, Phys. Rev. D 23 (1981) 347 [INSPIRE].
A.D. Linde, A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems, Phys. Lett. B 108 (1982) 389 [INSPIRE].
A. Albrecht and P.J. Steinhardt, Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking, Phys. Rev. Lett. 48 (1982) 1220 [INSPIRE].
V.F. Mukhanov and G.V. Chibisov, Quantum Fluctuations and a Nonsingular Universe, JETP Lett. 33 (1981) 532 [INSPIRE].
V.F. Mukhanov, H.A. Feldman and R.H. Brandenberger, Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions, Phys. Rept. 215 (1992) 203 [INSPIRE].
A. Hook, J. Huang and D. Racco, Searches for other vacua. Part II. A new Higgstory at the cosmological collider, JHEP 01 (2020) 105 [arXiv:1907.10624] [INSPIRE].
Y. Hamada, H. Kawai, K.-y. Oda and S.C. Park, Higgs Inflation is Still Alive after the Results from BICEP2, Phys. Rev. Lett. 112 (2014) 241301 [arXiv:1403.5043] [INSPIRE].
Y. Hamada, H. Kawai, K.-y. Oda and S.C. Park, Higgs inflation from Standard Model criticality, Phys. Rev. D 91 (2015) 053008 [arXiv:1408.4864] [INSPIRE].
Planck collaboration, Planck 2018 results. X. Constraints on inflation, Astron. Astrophys. 641 (2020) A10 [arXiv:1807.06211] [INSPIRE].
H. Kawai and K. Kawana, Multi-critical point principle as the origin of classical conformality and its generalizations, arXiv:2107.10720 [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2020 (2020) 083C01 [INSPIRE].
BICEP and Keck collaborations, Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season, Phys. Rev. Lett. 127 (2021) 151301 [arXiv:2110.00483] [INSPIRE].
H.P. Nilles, Supersymmetry, Supergravity and Particle Physics, Phys. Rept. 110 (1984) 1 [INSPIRE].
G.F. Giudice and R. Rattazzi, Theories with gauge mediated supersymmetry breaking, Phys. Rept. 322 (1999) 419 [hep-ph/9801271] [INSPIRE].
CMB-S4 collaboration, CMB-S4 Science Book, First Edition, arXiv:1610.02743 [INSPIRE].
CMB-S4 collaboration, CMB-S4: Forecasting Constraints on Primordial Gravitational Waves, arXiv:2008.12619 [INSPIRE].
LiteBIRD collaboration, LiteBIRD: JAXA’s new strategic L-class mission for all-sky surveys of cosmic microwave background polarization, Proc. SPIE Int. Soc. Opt. Eng. 11443 (2020) 114432F [arXiv:2101.12449] [INSPIRE].
S.H. Henry Tye, D. Wohns and Y. Zhang, Coleman-de Luccia Tunneling and the Gibbons-Hawking Temperature, Int. J. Mod. Phys. A 25 (2010) 1019 [arXiv:0811.3753] [INSPIRE].
S. Coleman, Aspects of Symmetry: Selected Erice Lectures, Cambridge University Press, Cambridge U.K. (1985) [DOI] [INSPIRE].
A.R. Brown and E.J. Weinberg, Thermal derivation of the Coleman-De Luccia tunneling prescription, Phys. Rev. D 76 (2007) 064003 [arXiv:0706.1573] [INSPIRE].
V. Balek and M. Demetrian, Euclidean action for vacuum decay in a de Sitter universe, Phys. Rev. D 71 (2005) 023512 [gr-qc/0409001] [INSPIRE].
Author information
Authors and Affiliations
Corresponding authors
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2111.04010
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Lee, S.M., Cheong, D.Y., Hyun, S.C. et al. Festina-Lente bound on Higgs vacuum structure and inflation. J. High Energ. Phys. 2022, 100 (2022). https://doi.org/10.1007/JHEP02(2022)100
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2022)100