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The European Physical Journal C

, Volume 58, Issue 2, pp 301–309 | Cite as

Mixing-induced CP violating sources for electroweak baryogenesis from a semiclassical approach

  • Yu-Feng ZhouEmail author
Regular Article - Theoretical Physics

Abstract

The effects of flavor mixing in electroweak baryogenesis is investigated in a generalized semiclassical WKB approach. Through calculating the non-adiabatic corrections to the particle currents, it is shown that extra CP violation sources arise from the off-diagonal part of the equation of motion of particles moving inside the bubble wall. This type of mixing-induced source is of first order in a derivative expansion of the Higgs condensate, but it is oscillation suppressed. The numerical importance of the mixing-induced source is discussed in the minimal supersymmetric standard model and compared with the source term induced by a semiclassical force. It is found that in a large parameter space where oscillation suppression is not strong enough, the mixing-induced source can dominate over that from the semiclassical force.

PACS

98.80.Cq 11.30.Er 11.30.Fs 

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References

  1. 1.
    G.R. Farrar, M.E. Shaposhnikov, Phys. Rev. D 50, 774 (1994). hep-ph/9305275 CrossRefADSGoogle Scholar
  2. 2.
    G.R. Farrar, M.E. Shaposhnikov, Phys. Rev. Lett. 70, 2833 (1993). hep-ph/9305274 CrossRefADSGoogle Scholar
  3. 3.
    M.B. Gavela, P. Hernandez, J. Orloff, O. Pene, C. Quimbay, Nucl. Phys. B 430, 382 (1994). hep-ph/9406289 CrossRefADSGoogle Scholar
  4. 4.
    P. Huet, E. Sather, Phys. Rev. D 51, 379 (1995). hep-ph/9404302 CrossRefADSGoogle Scholar
  5. 5.
    K. Jansen, Nucl. Phys. Proc. Suppl. 47, 196 (1996). hep-lat/9509018 CrossRefADSGoogle Scholar
  6. 6.
    K. Rummukainen, K. Kajantie, M. Laine, M.E. Shaposhnikov, M. Tsypin, hep-ph/9809435
  7. 7.
    K. Rummukainen, M. Tsypin, K. Kajantie, M. Laine, M.E. Shaposhnikov, Nucl. Phys. B 532, 283 (1998). hep-lat/9805013 CrossRefADSGoogle Scholar
  8. 8.
    J.R. Espinosa, M. Quiros, F. Zwirner, Phys. Lett. B 307, 106 (1993). hep-ph/9303317 CrossRefADSGoogle Scholar
  9. 9.
    G.F. Giudice, Phys. Rev. D 45, 3177 (1992) CrossRefADSGoogle Scholar
  10. 10.
    S. Myint, Phys. Lett. B 287, 325 (1992). hep-ph/9206266 CrossRefADSGoogle Scholar
  11. 11.
    K. Funakubo, Prog. Theor. Phys. 96, 475 (1996). hep-ph/9608358 CrossRefADSGoogle Scholar
  12. 12.
    K. Funakubo, A. Kakuto, S. Otsuki, F. Toyoda, Prog. Theor. Phys. 98, 427 (1997). hep-ph/9704359 CrossRefADSGoogle Scholar
  13. 13.
    J.M. Cline, K. Kainulainen, A.P. Vischer, Phys. Rev. D 54, 2451 (1996). hep-ph/9506284 CrossRefADSGoogle Scholar
  14. 14.
    J.M. Cline, P.-A. Lemieux, Phys. Rev. D 55, 3873 (1997). hep-ph/9609240 CrossRefADSGoogle Scholar
  15. 15.
    A. Hammerschmitt, J. Kripfganz, M.G. Schmidt, Z. Phys. C 64, 105 (1994). hep-ph/9404272 CrossRefADSGoogle Scholar
  16. 16.
    S. Kanemura, Y. Okada, E. Senaha, Phys. Lett. B 606, 361 (2005). hep-ph/0411354 CrossRefADSGoogle Scholar
  17. 17.
    D. Land, E.D. Carlson, Phys. Lett. B 292, 107 (1992). hep-ph/9208227 CrossRefADSGoogle Scholar
  18. 18.
    N. Turok, J. Zadrozny, Nucl. Phys. B 358, 471 (1991) CrossRefADSGoogle Scholar
  19. 19.
    A.G. Cohen, D.B. Kaplan, A.E. Nelson, Nucl. Phys. B 349, 727 (1991) CrossRefADSGoogle Scholar
  20. 20.
    A.G. Cohen, D.B. Kaplan, A.E. Nelson, Phys. Lett. B 245, 561 (1990) CrossRefADSGoogle Scholar
  21. 21.
    A.E. Nelson, D.B. Kaplan, A.G. Cohen, Nucl. Phys. B 373, 453 (1992) CrossRefADSGoogle Scholar
  22. 22.
    J.M. Cline, G.D. Moore, Phys. Rev. Lett. 81, 3315 (1998). hep-ph/9806354 CrossRefADSGoogle Scholar
  23. 23.
    J.M. Moreno, M. Quiros, M. Seco, Nucl. Phys. B 526, 489 (1998). hep-ph/9801272 zbMATHCrossRefADSMathSciNetGoogle Scholar
  24. 24.
    J.M. Cline, M. Joyce, K. Kainulainen, hep-ph/0110031
  25. 25.
    J.M. Cline, M. Joyce, K. Kainulainen, J. High Energy Phys. 07, 018 (2000). hep-ph/0006119 CrossRefADSGoogle Scholar
  26. 26.
    J.M. Cline, M. Joyce, K. Kainulainen, Phys. Lett. B 417, 79 (1998). hep-ph/9708393 CrossRefADSGoogle Scholar
  27. 27.
    J.M. Cline, K. Kainulainen, Phys. Rev. Lett. 85, 5519 (2000). hep-ph/0002272 CrossRefADSGoogle Scholar
  28. 28.
    M. Joyce, T. Prokopec, N. Turok, Phys. Rev. D 53, 2958 (1996). hep-ph/9410282 CrossRefADSGoogle Scholar
  29. 29.
    M. Joyce, T. Prokopec, N. Turok, Phys. Rev. Lett. 75, 1695 (1995). hep-ph/9408339 CrossRefADSGoogle Scholar
  30. 30.
    M. Joyce, T. Prokopec, N. Turok, Phys. Lett. B 338, 269 (1994). hep-ph/9401352 CrossRefADSGoogle Scholar
  31. 31.
    S.J. Huber, M.G. Schmidt, Nucl. Phys. B 606, 183 (2001). hep-ph/0003122 CrossRefADSGoogle Scholar
  32. 32.
    T. Konstandin, T. Prokopec, M.G. Schmidt, Nucl. Phys. B 716, 373 (2005). hep-ph/0410135 zbMATHCrossRefADSGoogle Scholar
  33. 33.
    T. Konstandin, T. Prokopec, M.G. Schmidt, M. Seco, Nucl. Phys. B 738, 1 (2006). hep-ph/0505103 zbMATHCrossRefADSGoogle Scholar
  34. 34.
    T. Prokopec, M.G. Schmidt, S. Weinstock, Ann. Phys. 314, 208 (2004). hep-ph/0312110 zbMATHCrossRefADSGoogle Scholar
  35. 35.
    T. Prokopec, M.G. Schmidt, S. Weinstock, Ann. Phys. 314, 267 (2004). hep-ph/0406140 zbMATHCrossRefADSGoogle Scholar
  36. 36.
    C. Lee, V. Cirigliano, M.J. Ramsey-Musolf, Phys. Rev. D 71, 075010 (2005). hep-ph/0412354 CrossRefADSGoogle Scholar
  37. 37.
    A. Riotto, Phys. Rev. D 58, 095009 (1998). hep-ph/9803357 CrossRefADSGoogle Scholar
  38. 38.
    A. Riotto, Nucl. Phys. B 518, 339 (1998). hep-ph/9712221 CrossRefADSMathSciNetGoogle Scholar
  39. 39.
    M.S. Carena, J.M. Moreno, M. Quiros, M. Seco, C.E.M. Wagner, Nucl. Phys. B 599, 158 (2001). hep-ph/0011055 CrossRefADSGoogle Scholar
  40. 40.
    M.S. Carena, M. Quiros, C.E.M. Wagner, Nucl. Phys. B 524, 3 (1998). hep-ph/9710401 CrossRefADSGoogle Scholar
  41. 41.
    M. Laine, K. Rummukainen, Nucl. Phys. B 535, 423 (1998). hep-lat/9804019 CrossRefADSGoogle Scholar
  42. 42.
    B.C. Regan, E.D. Commins, C.J. Schmidt, D. DeMille, Phys. Rev. Lett. 88, 071805 (2002) CrossRefADSGoogle Scholar
  43. 43.
    M.V. Romalis, W.C. Griffith, E.N. Fortson, Phys. Rev. Lett. 86, 2505 (2001). hep-ex/0012001 CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  1. 1.Korea Institute for Advanced StudySeoulSouth Korea

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