Skip to main content
SpringerLink
Log in

Electroweak phase transitions in the secluded U(1)′-extended MSSM

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

The electroweak phase transition (EWPT) in the secluded-U(1)′-extended MSSM (sMSSM) is studied. Using the effective potential at zero and finite temperatures, we search for the non-MSSM-like EWPT in which the light stop mass is larger than the top quark mass. Scanning the parameters relevant to the EWPT, the upper limits of the Higgs boson masses, which are consistent with the strong first order EWPT, are derived. For the lightest CP-even and -odd Higgs bosons, we find \( {m_{{H_1}}} \lesssim 160{\text{ GeV}} \) and \( {m_{{A_1}}} \lesssim 250{\text{ GeV}} \), respectively. In the sMSSM, the tree-level CP violation is possible by the complex soft supersymmetry breaking masses. It is observed that such a CP-violating effect does not spoil the strong first order EWPT for the typical parameter sets.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Particle Data Group collaboration, C. Amsler et al., Review of particle physics, Phys. Lett. B 667 (2008) 1 [SPIRES].

    ADS  Google Scholar 

  2. A.D. Sakharov, Violation of CP Invariance, c Asymmetry and Baryon Asymmetry of the Universe, Pisma Zh. Eksp. Teor. Fiz. 5 (1967) 32 [JETP Lett. 5 (1967) 24] [SPIRES].

    Google Scholar 

  3. N. Cabibbo, Unitary Symmetry and Leptonic Decays, Phys. Rev. Lett. 10 (1963) 531 [SPIRES].

    Article  ADS  Google Scholar 

  4. M. Kobayashi and T. Maskawa, CP Violation in the Renormalizable Theory of Weak Interaction, Prog. Theor. Phys. 49 (1973) 652 [SPIRES].

    Article  ADS  Google Scholar 

  5. 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] [SPIRES].

    ADS  Google Scholar 

  6. 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] [SPIRES].

    Article  ADS  Google Scholar 

  7. P. Huet and E. Sather, Electroweak baryogenesis and standard model CP-violation, Phys. Rev. D 51 (1995) 379 [hep-ph/9404302] [SPIRES].

    ADS  Google Scholar 

  8. T. Konstandin, T. Prokopec and M.G. Schmidt, Axial currents from CKM matrix CP-violation and electroweak baryogenesis, Nucl. Phys. B 679 (2004) 246 [hep-ph/0309291] [SPIRES].

    Article  ADS  Google Scholar 

  9. 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] [SPIRES].

    Article  ADS  Google Scholar 

  10. K. Rummukainen, M. Tsypin, K. Kajantie, M. Laine and M.E. Shaposhnikov, The universality class of the electroweak theory, Nucl. Phys. B 532 (1998) 283 [hep-lat/9805013] [SPIRES].

    Article  ADS  Google Scholar 

  11. F. Csikor, Z. Fodor and J. Heitger, Endpoint of the hot electroweak phase transition, Phys. Rev. Lett. 82 (1999) 21 [hep-ph/9809291] [SPIRES].

    Article  ADS  Google Scholar 

  12. Y. Aoki, F. Csikor, Z. Fodor and A. Ukawa, The endpoint of the first-order phase transition of the SU(2) gauge-Higgs model on a 4-dimensional isotropic lattice, Phys. Rev. D 60 (1999) 013001 [hep-lat/9901021] [SPIRES].

    ADS  Google Scholar 

  13. A.G. Cohen, D.B. Kaplan and A.E. Nelson, Progress in electroweak baryogenesis, Ann. Rev. Nucl. Part. Sci. 43 (1993) 27 [hep-ph/9302210] [SPIRES].

    Article  ADS  Google Scholar 

  14. M. Quirós, Field theory at finite temperature and phase transitions, Helv. Phys. Acta 67 (1994) 451 [SPIRES].

    MATH  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  16. K. Funakubo, CP violation and baryogenesis at the electroweak phase transition, Prog. Theor. Phys. 96 (1996) 475 [hep-ph/9608358] [SPIRES].

    Article  ADS  Google Scholar 

  17. M. Trodden, Electroweak baryogenesis, Rev. Mod. Phys. 71 (1999) 1463 [hep-ph/9803479] [SPIRES].

    Article  ADS  Google Scholar 

  18. W. Bernreuther, CP violation and baryogenesis, Lect. Notes Phys. 591 (2002) 237 [hep-ph/0205279] [SPIRES].

    Article  ADS  Google Scholar 

  19. M.S. Carena, M. Quirós and C.E.M. Wagner, Opening the Window for Electroweak Baryogenesis, Phys. Lett. B 380 (1996) 81 [hep-ph/9603420] [SPIRES].

    ADS  Google Scholar 

  20. D. Delepine, J.M. Gerard, R. Gonzalez Felipe and J. Weyers, A light stop and electroweak baryogenesis, Phys. Lett. B 386 (1996) 183 [hep-ph/9604440] [SPIRES].

    ADS  Google Scholar 

  21. P. Huet and A.E. Nelson, Electroweak baryogenesis in supersymmetric models, Phys. Rev. D 53 (1996) 4578 [hep-ph/9506477] [SPIRES].

    ADS  Google Scholar 

  22. B. de Carlos and J.R. Espinosa, The baryogenesis window in the MSSM, Nucl. Phys. B 503 (1997) 24 [hep-ph/9703212] [SPIRES].

    Article  ADS  Google Scholar 

  23. M.S. Carena, M. Quirós, A. Riotto, I. Vilja and C.E.M. Wagner, Electroweak baryogenesis and low energy supersymmetry, Nucl. Phys. B 503 (1997) 387 [hep-ph/9702409] [SPIRES].

    Article  ADS  Google Scholar 

  24. M.S. Carena, M. Quirós and C.E.M. Wagner, Electroweak baryogenesis and Higgs and stop searches at LEP and the Tevatron, Nucl. Phys. B 524 (1998) 3 [hep-ph/9710401] [SPIRES].

    Article  ADS  Google Scholar 

  25. K. Funakubo, A. Kakuto, S. Otsuki and F. Toyoda, Spontaneous CP-violation at finite temperature in the MSSM, Prog. Theor. Phys. 99 (1998) 1045 [hep-ph/9802276] [SPIRES].

    Article  ADS  Google Scholar 

  26. A. Riotto, The more relaxed supersymmetric electroweak baryogenesis, Phys. Rev. D 58 (1998) 095009 [hep-ph/9803357] [SPIRES].

    ADS  Google Scholar 

  27. K. Funakubo, Higgs mass, CP-violation and phase transition in the MSSM, Prog. Theor. Phys. 101 (1999) 415 [hep-ph/9809517] [SPIRES].

    Article  ADS  Google Scholar 

  28. K. Funakubo, S. Otsuki and F. Toyoda, Transitional CP-violation in MSSM and electroweak baryogenesis, Prog. Theor. Phys. 102 (1999) 389 [hep-ph/9903276] [SPIRES].

    Article  ADS  Google Scholar 

  29. J.M. Cline, M. Joyce and K. Kainulainen, Supersymmetric electroweak baryogenesis, JHEP 07 (2000) 018 [hep-ph/0006119] [SPIRES].

    Article  ADS  Google Scholar 

  30. M.S. Carena, J.M. Moreno, M. Quirós, M. Seco and C.E.M. Wagner, Supersymmetric CP-violating currents and electroweak baryogenesis, Nucl. Phys. B 599 (2001) 158 [hep-ph/0011055] [SPIRES].

    Article  ADS  Google Scholar 

  31. M.S. Carena, M. Quirós, M. Seco and C.E.M. Wagner, Improved results in supersymmetric electroweak baryogenesis, Nucl. Phys. B 650 (2003) 24 [hep-ph/0208043] [SPIRES].

    Article  ADS  Google Scholar 

  32. T. Prokopec, M.G. Schmidt and S. Weinstock, Transport equations for chiral fermions to order h-bar and electroweak baryogenesis, Ann. Phys. 314 (2004) 208 [hep-ph/0312110] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  33. T. Prokopec, M.G. Schmidt and S. Weinstock, Transport equations for chiral fermions to order h-bar and electroweak baryogenesis. II, Ann. Phys. 314 (2004) 267 [hep-ph/0406140] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  34. T. Konstandin, T. Prokopec and M.G. Schmidt, Kinetic description of fermion flavor mixing and CP-violating sources for baryogenesis, Nucl. Phys. B 716 (2005) 373 [hep-ph/0410135] [SPIRES].

    Article  ADS  Google Scholar 

  35. C. Lee, V. Cirigliano and M.J. Ramsey-Musolf, Resonant relaxation in electroweak baryogenesis, Phys. Rev. D 71 (2005) 075010 [hep-ph/0412354] [SPIRES].

    ADS  Google Scholar 

  36. V. Cirigliano, M.J. Ramsey-Musolf, S. Tulin and C. Lee, Yukawa and tri-scalar processes in electroweak baryogenesis, Phys. Rev. D 73 (2006) 115009 [hep-ph/0603058] [SPIRES].

    ADS  Google Scholar 

  37. T. Konstandin, T. Prokopec, M.G. Schmidt and M. Seco, MSSM electroweak baryogenesis and flavour mixing in transport equations, Nucl. Phys. B 738 (2006) 1 [hep-ph/0505103] [SPIRES].

    Article  ADS  Google Scholar 

  38. V. Cirigliano, S. Profumo and M.J. Ramsey-Musolf, Baryogenesis, electric dipole moments and dark matter in the MSSM, JHEP 07 (2006) 002 [hep-ph/0603246] [SPIRES].

    Article  ADS  Google Scholar 

  39. D.J.H. Chung, B. Garbrecht, M.J. Ramsey-Musolf and S. Tulin, Yukawa Interactions and Supersymmetric Electroweak Baryogenesis, Phys. Rev. Lett. 102 (2009) 061301 [arXiv:0808.1144] [SPIRES].

    Article  ADS  Google Scholar 

  40. M. Carena, G. Nardini, M. Quirós and C.E.M. Wagner, The Baryogenesis Window in the MSSM, Nucl. Phys. B 812 (2009) 243 [arXiv:0809.3760] [SPIRES].

    Article  ADS  Google Scholar 

  41. K. Funakubo, S. Tao and F. Toyoda, CP violation in the Higgs sector and phase transition in the MSSM, Prog. Theor. Phys. 109 (2003) 415 [hep-ph/0211238] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  42. U. Ellwanger, M. Rausch de Traubenberg and C.A. Savoy, Particle spectrum in supersymmetric models with a gauge singlet, Phys. Lett. B 315 (1993) 331 [hep-ph/9307322] [SPIRES].

    ADS  Google Scholar 

  43. T. Elliott, S.F. King and P.L. White, Radiative corrections to Higgs boson masses in the next-to-minimal supersymmetric Standard Model, Phys. Rev. D 49 (1994) 2435 [hep-ph/9308309] [SPIRES].

    ADS  Google Scholar 

  44. T. Moroi and Y. Okada, Upper bound of the lightest neutral Higgs mass in extended supersymmetric Standard Models, Phys. Lett. B 295 (1992) 73 [SPIRES].

    ADS  Google Scholar 

  45. J.-i. Kamoshita, Y. Okada and M. Tanaka, Neutral scalar Higgs masses and production cross-sections in and extended supersymmetric Standard Model, Phys. Lett. B 328 (1994) 67 [hep-ph/9402278] [SPIRES].

    ADS  Google Scholar 

  46. D.J. Miller, 2, R. Nevzorov and P.M. Zerwas, The Higgs sector of the next-to-minimal supersymmetric standard model, Nucl. Phys. B 681 (2004) 3 [hep-ph/0304049] [SPIRES].

    Article  ADS  Google Scholar 

  47. U. Ellwanger, J.F. Gunion, C. Hugonie and S. Moretti, Towards a no-lose theorem for NMSSM Higgs discovery at the LHC, hep-ph/0305109 [SPIRES].

  48. M. Maniatis, The NMSSM reviewed, arXiv:0906.0777 [SPIRES].

  49. U. Ellwanger, C. Hugonie and A.M. Teixeira, The Next-to-Minimal Supersymmetric Standard Model, arXiv:0910.1785 [SPIRES].

  50. K. Funakubo and S. Tao, The Higgs sector in the next-to-MSSM, Prog. Theor. Phys. 113 (2005) 821 [hep-ph/0409294] [SPIRES].

    Article  ADS  Google Scholar 

  51. C. Panagiotakopoulos and K. Tamvakis, Stabilized NMSSM without domain walls, Phys. Lett. B 446 (1999) 224 [hep-ph/9809475] [SPIRES].

    ADS  Google Scholar 

  52. C. Panagiotakopoulos and K. Tamvakis, New minimal extension of MSSM, Phys. Lett. B 469 (1999) 145 [hep-ph/9908351] [SPIRES].

    ADS  Google Scholar 

  53. C. Panagiotakopoulos and A. Pilaftsis, Higgs scalars in the minimal non-minimal supersymmetric standard model, Phys. Rev. D 63 (2001) 055003 [hep-ph/0008268] [SPIRES].

    ADS  Google Scholar 

  54. A. Dedes, C. Hugonie, S. Moretti and K. Tamvakis, Phenomenology of a new minimal supersymmetric extension of the standard model, Phys. Rev. D 63 (2001) 055009 [hep-ph/0009125] [SPIRES].

    ADS  Google Scholar 

  55. C. Balázs, M.S. Carena, A. Freitas and C.E.M. Wagner, Phenomenology of the NMSSM from colliders to cosmology, JHEP 06 (2007) 066 [arXiv:0705.0431] [SPIRES].

    Article  ADS  Google Scholar 

  56. D. Suematsu and Y. Yamagishi, Radiative symmetry breaking in a supersymmetric model with an extra U(1), Int. J. Mod. Phys. A 10 (1995) 4521 [hep-ph/9411239] [SPIRES].

    ADS  Google Scholar 

  57. D. Suematsu, Vacuum structure of the μ problem solvable extra U(1) models, Phys. Rev. D 59 (1999) 055017 [hep-ph/9808409] [SPIRES].

    ADS  Google Scholar 

  58. Y. Daikoku and D. Suematsu, Mass bound of the lightest neutral Higgs scalar in the extra U(1) models, Phys. Rev. D 62 (2000) 095006 [hep-ph/0003205] [SPIRES].

    ADS  Google Scholar 

  59. M. Cvetič, D.A. Demir, J.R. Espinosa, L.L. Everett and P. Langacker, Electroweak breaking and the mu problem in supergravity models with an additional U(1), Phys. Rev. D 56 (1997) 2861 [hep-ph/9703317] [SPIRES].

    ADS  Google Scholar 

  60. D.A. Demir, G.L. Kane and T.T. Wang, The minimal U(1)′ extension of the MSSM, Phys. Rev. D 72 (2005) 015012 [hep-ph/0503290] [SPIRES].

    ADS  Google Scholar 

  61. D.A. Demir, L. Solmaz and S. Solmaz, LEP indications for two light Higgs bosons and U(1)′ model, Phys. Rev. D 73 (2006) 016001 [hep-ph/0512134] [SPIRES].

    ADS  Google Scholar 

  62. J. Erler, P. Langacker and T.-j. Li, The Z-Z′ mass hierarchy in a supersymmetric model with a secluded U(1)-prime breaking sector, Phys. Rev. D 66 (2002) 015002 [hep-ph/0205001] [SPIRES].

    ADS  Google Scholar 

  63. T. Han, P. Langacker and B. McElrath, The Higgs sector in a U(1)′ extension of the MSSM, Phys. Rev. D 70 (2004) 115006 [hep-ph/0405244] [SPIRES].

    ADS  Google Scholar 

  64. J. Kang, P. Langacker, T.-j. Li and T. Liu, Electroweak baryogenesis in a supersymmetric U(1)-prime model, Phys. Rev. Lett. 94 (2005) 061801 [hep-ph/0402086] [SPIRES].

    Article  ADS  Google Scholar 

  65. C.-W. Chiang and E. Senaha, CP violation in the secluded U(1)′-extended MSSM, JHEP 06 (2008) 019 [arXiv:0804.1719] [SPIRES].

    Article  ADS  Google Scholar 

  66. J. Kang, P. Langacker, T. Li and T. Liu, Electroweak Baryogenesis, CDM and Anomaly-free Supersymmetric U(1)-prime Models, arXiv:0911.2939 [SPIRES].

  67. K. Funakubo, S. Tao and F. Toyoda, Phase transitions in the NMSSM, Prog. Theor. Phys. 114 (2005) 369 [hep-ph/0501052] [SPIRES].

    Article  ADS  Google Scholar 

  68. A. Menon, D.E. Morrissey and C.E.M. Wagner, Electroweak baryogenesis and dark matter in the NMSSM, Phys. Rev. D 70 (2004) 035005 [hep-ph/0404184] [SPIRES].

    ADS  Google Scholar 

  69. S.J. Huber, T. Konstandin, T. Prokopec and M.G. Schmidt, Electroweak Phase Transition and Baryogenesis in the NMSSM, Nucl. Phys. B 757 (2006) 172 [hep-ph/0606298] [SPIRES].

    Article  ADS  Google Scholar 

  70. S.W. Ham, E.J. Yoo and S.K. OH, Electroweak phase transitions in the MSSM with an extra U(1)′, Phys. Rev. D 76 (2007) 075011 [arXiv:0704.0328] [SPIRES].

    ADS  Google Scholar 

  71. S.W. Ham and S.K. OH, Electroweak phase transition in MSSM with U(1)′ in explicit CP-violation scenario, Phys. Rev. D 76 (2007) 095018 [arXiv:0708.1785] [SPIRES].

    ADS  Google Scholar 

  72. J. Erler, Chiral models of weak scale supersymmetry, Nucl. Phys. B 586 (2000) 73 [hep-ph/0006051] [SPIRES].

    Article  ADS  Google Scholar 

  73. J. Kang and P. Langacker, Z’ discovery limits for supersymmetric E 6 models, Phys. Rev. D 71 (2005) 035014 [hep-ph/0412190] [SPIRES].

    ADS  Google Scholar 

  74. S.R. Coleman and E.J. Weinberg, Radiative Corrections as the Origin of Spontaneous Symmetry Breaking, Phys. Rev. D 7 (1973) 1888 [SPIRES].

    ADS  Google Scholar 

  75. J. Erler, P. Langacker, S. Munir and E.R. Pena, Improved Constraints on Z′ Bosons from Electroweak Precision Data, JHEP 08 (2009) 017 [arXiv:0906.2435] [SPIRES].

    Article  ADS  Google Scholar 

  76. J. Erler, P. Langacker, S. Munir and E. Rojas, Constraints on the mass and mixing of Z′ bosons, AIP Conf. Proc. 1200 (2010) 790 [arXiv:0910.0269] [SPIRES].

    Article  ADS  Google Scholar 

  77. K. Funakubo and E. Senaha, Electroweak phase transition, critical bubbles and sphaleron decoupling condition in the MSSM, Phys. Rev. D 79 (2009) 115024 [arXiv:0905.2022] [SPIRES].

    ADS  Google Scholar 

  78. K. Funakubo, A. Kakuto, S. Tao and F. Toyoda, Sphalerons in the NMSSM, Prog. Theor. Phys. 114 (2006) 1069 [hep-ph/0506156] [SPIRES].

    Article  ADS  Google Scholar 

  79. L. Dolan and R. Jackiw, Symmetry Behavior at Finite Temperature, Phys. Rev. D 9 (1974) 3320 [SPIRES].

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  81. 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] [SPIRES].

    ADS  Google Scholar 

  82. 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] [SPIRES].

    Article  Google Scholar 

  83. M. Pietroni, The Electroweak phase transition in a nonminimal supersymmetric model, Nucl. Phys. B 402 (1993) 27 [hep-ph/9207227] [SPIRES].

    Article  ADS  Google Scholar 

  84. S.J. Huber and M.G. Schmidt, Electroweak baryogenesis: Concrete in a SUSY model with a gauge singlet, Nucl. Phys. B 606 (2001) 183 [hep-ph/0003122] [SPIRES].

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Center for Mathematics and Theoretical Physics, National Central University, 300 Jhongda Rd., Jhongli, Taiwan, 320, R.O.C.

    Cheng-Wei Chiang & Eibun Senaha

  2. Institute of Physics, Academia Sinica, 128 Sec. 2, Academia Rd., Nankang, Taipei, Taiwan, 115, R.O.C.

    Cheng-Wei Chiang

  3. Physics Division, National Center for Theoretical Sciences, 101, Sec. 2 Kuang Fu Rd., Hsinchu, Taiwan, 300, R.O.C.

    Eibun Senaha

Authors
  1. Cheng-Wei Chiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Eibun Senaha
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Eibun Senaha.

Additional information

ArXiv ePrint: 0912.5069

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chiang, CW., Senaha, E. Electroweak phase transitions in the secluded U(1)′-extended MSSM. J. High Energ. Phys. 2010, 30 (2010). https://doi.org/10.1007/JHEP06(2010)030

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP06(2010)030

Keywords

Search

Navigation