Thermodynamics of a Two-Step Electroweak Phase Transition
Abstract
New field content beyond that of the standard model of particle physics can alter the thermal history of electroweak symmetry breaking in the early Universe. In particular, the symmetry breaking may have occurred through a sequence of successive phase transitions. We study the thermodynamics of such a scenario in a real triplet extension of the standard model, using nonperturbative lattice simulations. Two-step electroweak phase transition is found to occur in a narrow region of allowed parameter space with the second transition always being first order. The first transition into the phase of nonvanishing triplet vacuum expectation value is first order in a non-negligible portion of the two-step parameter space. A comparison with two-loop perturbative calculation is provided and significant discrepancies with the nonperturbative results are identified.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Massachusetts, Amherst, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); Jenny and Antti Wihuri Foundation; Swiss National Science Foundation (SNSF); Academy of Finland; National Science Foundation of China; Ernest Rutherford Fellowship; University of Helsinki
- OSTI Identifier:
- 1780507
- Alternate Identifier(s):
- OSTI ID: 1851476
- Grant/Contract Number:
- SC0011095; 200020B-188712; 308791; 320123; 19Z103010239; ST/R003904/1; 324882; 328958
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 126 Journal Issue: 17; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; electroweak interaction; hypothetical particle physics models; extensions of Higgs sector; finite temperature field theory; quantum field theory; Monte Carlo methods
Citation Formats
Niemi, Lauri, Ramsey-Musolf, Michael J., Tenkanen, Tuomas V. I., and Weir, David J. Thermodynamics of a Two-Step Electroweak Phase Transition. United States: N. p., 2021.
Web. doi:10.1103/PhysRevLett.126.171802.
Niemi, Lauri, Ramsey-Musolf, Michael J., Tenkanen, Tuomas V. I., & Weir, David J. Thermodynamics of a Two-Step Electroweak Phase Transition. United States. https://doi.org/10.1103/PhysRevLett.126.171802
Niemi, Lauri, Ramsey-Musolf, Michael J., Tenkanen, Tuomas V. I., and Weir, David J. Tue .
"Thermodynamics of a Two-Step Electroweak Phase Transition". United States. https://doi.org/10.1103/PhysRevLett.126.171802.
@article{osti_1780507,
title = {Thermodynamics of a Two-Step Electroweak Phase Transition},
author = {Niemi, Lauri and Ramsey-Musolf, Michael J. and Tenkanen, Tuomas V. I. and Weir, David J.},
abstractNote = {New field content beyond that of the standard model of particle physics can alter the thermal history of electroweak symmetry breaking in the early Universe. In particular, the symmetry breaking may have occurred through a sequence of successive phase transitions. We study the thermodynamics of such a scenario in a real triplet extension of the standard model, using nonperturbative lattice simulations. Two-step electroweak phase transition is found to occur in a narrow region of allowed parameter space with the second transition always being first order. The first transition into the phase of nonvanishing triplet vacuum expectation value is first order in a non-negligible portion of the two-step parameter space. A comparison with two-loop perturbative calculation is provided and significant discrepancies with the nonperturbative results are identified.},
doi = {10.1103/PhysRevLett.126.171802},
journal = {Physical Review Letters},
number = 17,
volume = 126,
place = {United States},
year = {Tue Apr 27 00:00:00 EDT 2021},
month = {Tue Apr 27 00:00:00 EDT 2021}
}
https://doi.org/10.1103/PhysRevLett.126.171802
Works referenced in this record:
Baryon asymmetry from a two stage electroweak phase transition?
journal, March 1994
- Hammerschmitt, A.; Kripfganz, J.; Schmidt, M. G.
- Zeitschrift für Physik C Particles and Fields, Vol. 64, Issue 1
Integration by parts: The algorithm to calculate β-functions in 4 loops
journal, November 1981
- Chetyrkin, K. G.; Tkachov, F. V.
- Nuclear Physics B, Vol. 192, Issue 1
Two-step electroweak baryogenesis
journal, January 2016
- Inoue, Satoru; Ovanesyan, Grigory; Ramsey-Musolf, Michael J.
- Physical Review D, Vol. 93, Issue 1
Cosmological experiments in condensed matter systems
journal, November 1996
- Zurek, W. H.
- Physics Reports, Vol. 276, Issue 4
Electroweak bubble nucleation, nonperturbatively
journal, January 2001
- Moore, Guy D.; Rummukainen, Kari
- Physical Review D, Vol. 63, Issue 4
First and second order phase transitions in gauge theories at finite temperature
journal, December 1980
- Ginsparg, Paul
- Nuclear Physics B, Vol. 170, Issue 3
Detecting gravitational waves from cosmological phase transitions with LISA: an update
journal, March 2020
- Caprini, Chiara; Chala, Mikael; Dorsch, Glauber C.
- Journal of Cosmology and Astroparticle Physics, Vol. 2020, Issue 03
Impact of a complex singlet: Electroweak baryogenesis and dark matter
journal, March 2016
- Jiang, Minyuan; Bian, Ligong; Huang, Weicong
- Physical Review D, Vol. 93, Issue 6
Strong electroweak phase transitions in the Standard Model with a singlet
journal, January 2012
- Espinosa, J. R.; Konstandin, T.; Riva, F.
- Nuclear Physics B, Vol. 854, Issue 3
Electroweak baryogenesis from exotic electroweak symmetry breaking
journal, August 2015
- Blinov, Nikita; Kozaczuk, Jonathan; Morrissey, David E.
- Physical Review D, Vol. 92, Issue 3
3D physics and the electroweak phase transition: A framework for lattice Monte Carlo analysis
journal, May 1995
- Farakos, K.; Kajantie, K.; Rummukainen, K.
- Nuclear Physics B, Vol. 442, Issue 1-2
Electroweak phase transition in the real triplet extension of the SM: Dimensional reduction
journal, August 2019
- Niemi, Lauri; Patel, Hiren H.; Ramsey-Musolf, Michael J.
- Physical Review D, Vol. 100, Issue 3
Triplet scalars and dark matter at the LHC
journal, March 2009
- Fileviez Pérez, Pavel; Patel, Hiren H.; Ramsey-Musolf, Michael J.
- Physical Review D, Vol. 79, Issue 5
New Monte Carlo technique for studying phase transitions
journal, December 1988
- Ferrenberg, Alan M.; Swendsen, Robert H.
- Physical Review Letters, Vol. 61, Issue 23
Color breaking in the early universe
journal, July 2013
- Patel, Hiren H.; Ramsey-Musolf, Michael J.; Wise, Mark B.
- Physical Review D, Vol. 88, Issue 1
Efficient, Multiple-Range Random Walk Algorithm to Calculate the Density of States
journal, March 2001
- Wang, Fugao; Landau, D. P.
- Physical Review Letters, Vol. 86, Issue 10
IBP methods at finite temperature
journal, September 2012
- Nishimura, Madoka; Schröder, York
- Journal of High Energy Physics, Vol. 2012, Issue 9
Sphaleron Rate in the Minimal Standard Model
journal, October 2014
- D’Onofrio, Michela; Rummukainen, Kari; Tranberg, Anders
- Physical Review Letters, Vol. 113, Issue 14
Standard model cross-over on the lattice
journal, January 2016
- D’Onofrio, Michela; Rummukainen, Kari
- Physical Review D, Vol. 93, Issue 2
Testing electroweak baryogenesis with future colliders
journal, November 2014
- Curtin, David; Meade, Patrick; Yu, Chiu-Tien
- Journal of High Energy Physics, Vol. 2014, Issue 11
Standard model with a complex scalar singlet: Cosmological implications and theoretical considerations
journal, January 2018
- Chiang, Cheng-Wei; Ramsey-Musolf, Michael J.; Senaha, Eibun
- Physical Review D, Vol. 97, Issue 1
Erratum: Effective potential and first-order phase transitions: Beyond leading order [Phys. Rev. D 47 , 3546 (1993)]
journal, November 1994
- Arnold, Peter; Espinosa, Olivier
- Physical Review D, Vol. 50, Issue 10
On the validity of perturbative studies of the electroweak phase transition in the Two Higgs Doublet model
journal, June 2019
- Kainulainen, Kimmo; Keus, Venus; Niemi, Lauri
- Journal of High Energy Physics, Vol. 2019, Issue 6
Effective potential and first-order phase transitions: Beyond leading order
journal, April 1993
- Arnold, Peter; Espinosa, Olivier
- Physical Review D, Vol. 47, Issue 8
3d SU(N) + adjoint Higgs theory and finite-temperature QCD
journal, October 1997
- Kajantie, K.; Laine, M.; Rummukainen, K.
- Nuclear Physics B, Vol. 503, Issue 1-2
High-temperature Yang-Mills theories and three-dimensional quantum chromodynamics
journal, May 1981
- Appelquist, Thomas; Pisarski, Robert D.
- Physical Review D, Vol. 23, Issue 10
Two-step electroweak symmetry-breaking: theory meets experiment
journal, May 2020
- Bell, Nicole F.; Dolan, Matthew J.; Friedrich, Leon S.
- Journal of High Energy Physics, Vol. 2020, Issue 5
Unified Weak and Electromagnetic Interactions without Neutral Currents
journal, May 1972
- Georgi, Howard; Glashow, Sheldon L.
- Physical Review Letters, Vol. 28, Issue 22
Color breaking baryogenesis
journal, June 2018
- Ramsey-Musolf, Michael J.; White, Graham; Winslow, Peter
- Physical Review D, Vol. 97, Issue 12
How generic is cosmic string formation in supersymmetric grand unified theories
journal, November 2003
- Jeannerot, Rachel; Rocher, Jonathan; Sakellariadou, Mairi
- Physical Review D, Vol. 68, Issue 10
Gauge dependence of the high-temperature two-loop effective potential for the Higgs field
journal, April 1995
- Laine, M.
- Physical Review D, Vol. 51, Issue 8
A non-perturbative analysis of the finite-T phase transition in SU (2) × U (1) electroweak theory
journal, May 1997
- Kajantie, K.; Laine, M.; Rummukainen, K.
- Nuclear Physics B, Vol. 493, Issue 1-2
3D physics and the electroweak phase transition: Perturbation theory
journal, August 1994
- Farakos, K.; Kajantie, K.; Rummukainen, K.
- Nuclear Physics B, Vol. 425, Issue 1-2
Dynamics of electroweak phase transition in singlet-scalar extension of the standard model
journal, July 2017
- Kurup, Gowri; Perelstein, Maxim
- Physical Review D, Vol. 96, Issue 1
Strong first order EWPT & strong gravitational waves in Z3-symmetric singlet scalar extension
journal, February 2018
- Kang, Zhaofeng; Ko, P.; Matsui, Toshinori
- Journal of High Energy Physics, Vol. 2018, Issue 2
Lattice study of an electroweak phase transition at m h ≃ 126 GeV
journal, January 2013
- Laine, M.; Nardini, G.; Rummukainen, K.
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 01
Singlet Higgs phenomenology and the electroweak phase transition
journal, August 2007
- Profumo, Stefano; Ramsey-Musolf, Michael J.; Shaughnessy, Gabe
- Journal of High Energy Physics, Vol. 2007, Issue 08
Improved heatbath method for Monte Carlo calculations in lattice gauge theories
journal, June 1985
- Kennedy, A. D.; Pendleton, B. J.
- Physics Letters B, Vol. 156, Issue 5-6
Magnetic monopoles in unified gauge theories
journal, September 1974
- Hooft, G. 't
- Nuclear Physics B, Vol. 79, Issue 2
Is There a Hot Electroweak Phase Transition at ?
journal, September 1996
- Kajantie, K.; Laine, M.; Rummukainen, K.
- Physical Review Letters, Vol. 77, Issue 14
Baryon washout, electroweak phase transition, and perturbation theory
journal, July 2011
- Patel, Hiren H.; Ramsey-Musolf, Michael J.
- Journal of High Energy Physics, Vol. 2011, Issue 7
The electroweak phase transition: a collider target
journal, September 2020
- Ramsey-Musolf, Michael J.
- Journal of High Energy Physics, Vol. 2020, Issue 9
Collider probes of real triplet scalar dark matter
journal, January 2021
- Chiang, Cheng-Wei; Cottin, Giovanna; Du, Yong
- Journal of High Energy Physics, Vol. 2021, Issue 1
Science with the space-based interferometer eLISA. II: gravitational waves from cosmological phase transitions
journal, April 2016
- Caprini, Chiara; Hindmarsh, Mark; Huber, Stephan
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 04
The electroweak phase transition: a non-perturbative analysis
journal, April 1996
- Kajantie, K.; Laine, M.; Rummukainen, K.
- Nuclear Physics B, Vol. 466, Issue 1-2
Infrared problem in the thermodynamics of the Yang-Mills gas
journal, November 1980
- Linde, A. D.
- Physics Letters B, Vol. 96, Issue 3-4
Stepping into electroweak symmetry breaking: Phase transitions and Higgs phenomenology
journal, August 2013
- Patel, Hiren H.; Ramsey-Musolf, Michael J.
- Physical Review D, Vol. 88, Issue 3
Baryon asymmetry of the universe in standard electroweak theory
journal, January 1987
- Shaposhnikov, M. E.
- Nuclear Physics B, Vol. 287
Generic rules for high temperature dimensional reduction and their application to the standard model
journal, January 1996
- Kajantie, K.; Laine, M.; Rummukainen, K.
- Nuclear Physics B, Vol. 458, Issue 1-2
On anomalous electroweak baryon-number non-conservation in the early universe
journal, May 1985
- Kuzmin, V. A.; Rubakov, V. A.; Shaposhnikov, M. E.
- Physics Letters B, Vol. 155, Issue 1-2
Exact relation of lattice and continuum parameters in three-dimensional SU(2) + Higgs theories
journal, September 1995
- Laine, M.
- Nuclear Physics B, Vol. 451, Issue 1-2
Magnetic monopoles from gauge theory phase transitions
journal, July 2003
- Rajantie, A.
- Physical Review D, Vol. 68, Issue 2
Thermal phase transition with full 2-loop effective potential
journal, July 2017
- Laine, M.; Meyer, M.; Nardini, G.
- Nuclear Physics B, Vol. 920
End Point of the Hot Electroweak Phase Transition
journal, January 1999
- Csikor, F.; Fodor, Z.; Heitger, J.
- Physical Review Letters, Vol. 82, Issue 1
Two Higgs doublet dynamics at the electroweak phase transition: a non-perturbative study
journal, March 2001
- Laine, M.; Rummukainen, K.
- Nuclear Physics B, Vol. 597, Issue 1-3
Minimal dark matter
journal, October 2006
- Cirelli, Marco; Fornengo, Nicolao; Strumia, Alessandro
- Nuclear Physics B, Vol. 753, Issue 1-2