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Effective field theory and electroweak baryogenesis in the singlet-extended Standard Model

A preprint version of the article is available at arXiv.


Electroweak baryogenesis is a simple and attractive candidate mechanism for generating the observed baryon asymmetry in the Universe. Its viability is sometimes investigated in terms of an effective field theory of the Standard Model involving higher dimension operators. We investigate the validity of such an effective field theory approach to the problem of identifying electroweak phase transitions strong enough for electroweak baryogenesis to be successful. We identify and discuss some pitfalls of this approach due to the modest hierarchy between mass scales of heavy degrees or freedom and the Higgs, and the possibility of dimensionful couplings violating the decoupling between light and heavy degrees of freedom.


  1. V.A. Kuzmin, V.A. Rubakov and M.E. Shaposhnikov, On the Anomalous Electroweak Baryon Number Nonconservation in the Early Universe, Phys. Lett. B 155 (1985) 36 [INSPIRE].

    Article  ADS  Google Scholar 

  2. V.A. Rubakov and M.E. Shaposhnikov, Electroweak baryon number nonconservation in the early universe and in high-energy collisions, Phys. Usp. 39 (1996) 461 [Usp. Fiz. Nauk 166 (1996) 493] [hep-ph/9603208] [INSPIRE].

  3. K. Kajantie, M. Laine, K. Rummukainen and M.E. Shaposhnikov, Is there a hot electroweak phase transition at m H m W ?, Phys. Rev. Lett. 77 (1996) 2887 [hep-ph/9605288] [INSPIRE].

    Article  ADS  Google Scholar 

  4. M.E. Shaposhnikov, Possible Appearance of the Baryon Asymmetry of the Universe in an Electroweak Theory, JETP Lett. 44 (1986) 465 [Pisma Zh. Eksp. Teor. Fiz. 44 (1986) 364] [INSPIRE].

  5. M.E. Shaposhnikov, Structure of the High Temperature Gauge Ground State and Electroweak Production of the Baryon Asymmetry, Nucl. Phys. B 299 (1988) 797 [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  6. G.R. Farrar and M.E. Shaposhnikov, Baryon asymmetry of the universe in the minimal Standard Model, Phys. Rev. Lett. 70 (1993) 2833 [Erratum ibid. 71 (1993) 210] [hep-ph/9305274] [INSPIRE].

  7. M.B. Gavela, P. Hernández, J. Orloff and O. Pene, Standard model CP-violation and baryon asymmetry, Mod. Phys. Lett. A 9 (1994) 795 [hep-ph/9312215] [INSPIRE].

    Article  ADS  Google Scholar 

  8. M.B. Gavela, M. Lozano, J. Orloff and O. Pene, Standard model CP-violation and baryon asymmetry. Part 1: Zero temperature, Nucl. Phys. B 430 (1994) 345 [hep-ph/9406288] [INSPIRE].

    Article  ADS  Google Scholar 

  9. M.B. Gavela, P. Hernández, J. Orloff, O. Pene and C. Quimbay, Standard model CP-violation and baryon asymmetry. Part 2: Finite temperature, Nucl. Phys. B 430 (1994) 382 [hep-ph/9406289] [INSPIRE].

    Article  ADS  Google Scholar 

  10. T. Brauner, O. Taanila, A. Tranberg and A. Vuorinen, Temperature Dependence of Standard Model CP-violation, Phys. Rev. Lett. 108 (2012) 041601 [arXiv:1110.6818] [INSPIRE].

    Article  ADS  Google Scholar 

  11. G.W. Anderson and L.J. Hall, The Electroweak phase transition and baryogenesis, Phys. Rev. D 45 (1992) 2685 [INSPIRE].

    ADS  Google Scholar 

  12. S. Profumo, M.J. Ramsey-Musolf and G. Shaughnessy, Singlet Higgs phenomenology and the electroweak phase transition, JHEP 08 (2007) 010 [arXiv:0705.2425] [INSPIRE].

    Article  ADS  Google Scholar 

  13. D. Curtin, P. Jaiswal and P. Meade, Excluding Electroweak Baryogenesis in the MSSM, JHEP 08 (2012) 005 [arXiv:1203.2932] [INSPIRE].

    Article  ADS  Google Scholar 

  14. V. Barger, D.J.H. Chung, A.J. Long and L.-T. Wang, Strongly First Order Phase Transitions Near an Enhanced Discrete Symmetry Point, Phys. Lett. B 710 (2012) 1 [arXiv:1112.5460] [INSPIRE].

    Article  ADS  Google Scholar 

  15. D.J.H. Chung, A.J. Long and L.-T. Wang, 125 GeV Higgs boson and electroweak phase transition model classes, Phys. Rev. D 87 (2013) 023509 [arXiv:1209.1819] [INSPIRE].

    ADS  Google Scholar 

  16. D.E. Morrissey and M.J. Ramsey-Musolf, Electroweak baryogenesis, New J. Phys. 14 (2012) 125003 [arXiv:1206.2942] [INSPIRE].

    Article  ADS  Google Scholar 

  17. J.M. Cline and K. Kainulainen, Electroweak baryogenesis and dark matter from a singlet Higgs, JCAP 01 (2013) 012 [arXiv:1210.4196] [INSPIRE].

    Article  ADS  Google Scholar 

  18. P.H. Damgaard, D. O’Connell, T.C. Petersen and A. Tranberg, Constraints on New Physics from Baryogenesis and Large Hadron Collider Data, Phys. Rev. Lett. 111 (2013) 221804 [arXiv:1305.4362] [INSPIRE].

    Article  ADS  Google Scholar 

  19. J. Kozaczuk, Bubble Expansion and the Viability of Singlet-Driven Electroweak Baryogenesis, JHEP 10 (2015) 135 [arXiv:1506.04741] [INSPIRE].

    Article  ADS  Google Scholar 

  20. P. Huang, A. Joglekar, B. Li and C.E.M. Wagner, Probing the Electroweak Phase Transition at the LHC, arXiv:1512.00068 [INSPIRE].

  21. D. O’Connell, M.J. Ramsey-Musolf and M.B. Wise, Minimal Extension of the Standard Model Scalar Sector, Phys. Rev. D 75 (2007) 037701 [hep-ph/0611014] [INSPIRE].

    ADS  Google Scholar 

  22. A. Katz and M. Perelstein, Higgs Couplings and Electroweak Phase Transition, JHEP 07 (2014) 108 [arXiv:1401.1827] [INSPIRE].

    Article  ADS  Google Scholar 

  23. D. Curtin, P. Meade and C.-T. Yu, Testing Electroweak Baryogenesis with Future Colliders, JHEP 11 (2014) 127 [arXiv:1409.0005] [INSPIRE].

    Article  ADS  Google Scholar 

  24. K. Fuyuto, J. Hisano and E. Senaha, Toward verification of electroweak baryogenesis by electric dipole moments, arXiv:1510.04485 [INSPIRE].

  25. N. Arkani-Hamed, T. Han, M. Mangano and L.-T. Wang, Physics Opportunities of a 100 TeV Proton-Proton Collider, arXiv:1511.06495 [INSPIRE].

  26. X.-m. Zhang, Operators analysis for Higgs potential and cosmological bound on Higgs mass, Phys. Rev. D 47 (1993) 3065 [hep-ph/9301277] [INSPIRE].

  27. C. Grojean, G. Servant and J.D. Wells, First-order electroweak phase transition in the standard model with a low cutoff, Phys. Rev. D 71 (2005) 036001 [hep-ph/0407019] [INSPIRE].

    ADS  Google Scholar 

  28. D. Bödeker, L. Fromme, S.J. Huber and M. Seniuch, The Baryon asymmetry in the standard model with a low cut-off, JHEP 02 (2005) 026 [hep-ph/0412366] [INSPIRE].

    Article  Google Scholar 

  29. C. Delaunay, C. Grojean and J.D. Wells, Dynamics of Non-renormalizable Electroweak Symmetry Breaking, JHEP 04 (2008) 029 [arXiv:0711.2511] [INSPIRE].

    Article  ADS  Google Scholar 

  30. B. Grinstein and M. Trott, Electroweak Baryogenesis with a Pseudo-Goldstone Higgs, Phys. Rev. D 78 (2008) 075022 [arXiv:0806.1971] [INSPIRE].

    ADS  Google Scholar 

  31. F.P. Huang, P.-H. Gu, P.-F. Yin, Z.-H. Yu and X.-m. Zhang, Testing the electroweak phase transition and electroweak baryogenesis at LHC and CEPC, arXiv:1511.03969 [INSPIRE].

  32. M. Gorbahn, J.M. No and V. Sanz, Benchmarks for Higgs Effective Theory: Extended Higgs Sectors, JHEP 10 (2015) 036 [arXiv:1502.07352] [INSPIRE].

    Article  ADS  Google Scholar 

  33. A. Ahriche, What is the criterion for a strong first order electroweak phase transition in singlet models?, Phys. Rev. D 75 (2007) 083522 [hep-ph/0701192] [INSPIRE].

    ADS  Google Scholar 

  34. M. D’Onofrio, K. Rummukainen and A. Tranberg, The Sphaleron Rate through the Electroweak Cross-over, JHEP 08 (2012) 123 [arXiv:1207.0685] [INSPIRE].

    Article  ADS  Google Scholar 

  35. K. Fuyuto and E. Senaha, Improved sphaleron decoupling condition and the Higgs coupling constants in the real singlet-extended standard model, Phys. Rev. D 90 (2014) 015015 [arXiv:1406.0433] [INSPIRE].

    ADS  Google Scholar 

  36. J.R. Espinosa, T. Konstandin and F. Riva, Strong Electroweak Phase Transitions in the Standard Model with a Singlet, Nucl. Phys. B 854 (2012) 592 [arXiv:1107.5441] [INSPIRE].

    Article  ADS  Google Scholar 

  37. J.M. Cline, K. Kainulainen and M. Trott, Electroweak Baryogenesis in Two Higgs Doublet Models and B meson anomalies, JHEP 11 (2011) 089 [arXiv:1107.3559] [INSPIRE].

    Article  ADS  Google Scholar 

  38. P.B. Arnold and O. Espinosa, The Effective potential and first order phase transitions: Beyond leading-order, Phys. Rev. D 47 (1993) 3546 [Erratum ibid. D 50 (1994) 6662] [hep-ph/9212235] [INSPIRE].

  39. J.M. Cline and P.-A. Lemieux, Electroweak phase transition in two Higgs doublet models, Phys. Rev. D 55 (1997) 3873 [hep-ph/9609240] [INSPIRE].

    ADS  Google Scholar 

  40. M.E. Carrington, The Effective potential at finite temperature in the Standard Model, Phys. Rev. D 45 (1992) 2933 [INSPIRE].

    ADS  Google Scholar 

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Correspondence to A. Tranberg.

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Damgaard, P.H., Haarr, A., O’Connell, D. et al. Effective field theory and electroweak baryogenesis in the singlet-extended Standard Model. J. High Energ. Phys. 2016, 107 (2016).

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  • Beyond Standard Model
  • Cosmology of Theories beyond the SM
  • Thermal Field Theory
  • Effective field theories