Skip to main content
SpringerLink
Log in

Two Higgs bi-doublet left-right model with spontaneous P and CP violation

  • Published:
Science in China Series G: Physics, Mechanics and Astronomy Aims and scope Submit manuscript

Abstract

A left-right symmetric model with two Higgs bi-doublet is shown to be a consistent model for both spontaneous P and CP violation. The flavor changing neutral currents can be suppressed by the mechanism of approximate global U(1) family symmetry. The constraints from neural K meson mass difference Δm K are calculated and it is demonstrated that a right-handed gauge boson W 2 contribution in box-diagrams with mass well below 1 TeV is allowed due to a cancelation caused by a light-charged Higgs boson with a mass range of 150–300 GeV. The W 2 contribution to ε K can be suppressed from an appropriate choice of additional CP phases appearing in the right-handed Cabbibo-Kobayashi-Maskawa matrix. The model is also found to be fully consistent with B 0 mass difference Δm B and the mixing induced CP violation sin2β J/ Ψ, which is usually difficult for the model with only one Higgs bi-doublet. The new physics beyond the standard model can be directly searched at the colliders LHC and ILC.

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. Lee T D, Yang C N. Question of parity conservation in weak interactions. Phys Rev, 1956, 104: 254

    Article  ADS  Google Scholar 

  2. Wu C S, Ambler E, Hayward R W, et al. Experimental test of parity conservation in beta decay. Phys Rev, 1957, 105: 1413

    Article  ADS  Google Scholar 

  3. Christenson J H, Cronin J W, Fitch V L, et al. Evidence for the 2 pi decay of the K(2)0 meson. Phys Rev Lett, 1964, 13: 138

    Article  ADS  Google Scholar 

  4. Glashow S L. Partial symmetries of weak interactions. Nucl Phys, 1961, 22: 579

    Article  Google Scholar 

  5. Weinberg S. A model of leptons. Phys Rev Lett, 1967, 19: 1264

    Article  ADS  Google Scholar 

  6. Salam A. In: Svartholm N, ed. Proceedings of the Eight Nobel Symposium. Stockholm: Almqvist and Wikell, 1968

    Google Scholar 

  7. Kobayashi M, Maskawa T. CP violation in the renormalizable theory of weak interaction. Prog Theor Phys, 1973, 49: 652

    Article  ADS  Google Scholar 

  8. Wu Y L. A new prediction for direct CP violation epsilon’/epsilon and Delta(I) = ½ rule. Phys Rev D, 2001, 64: 016001

    Article  ADS  Google Scholar 

  9. Bertolini S. Theory Status of ε’/ε. Frascati Phys Ser, 2002, 28: 275–290

    Google Scholar 

  10. Batley J R, et al. [NA48 Collaboration]. A precision measurement of direct CP violation in the decay of neutral kaons into two pions. Phys Lett B, 2002, 544: 97

    Article  ADS  Google Scholar 

  11. Alavi-Harati A, et al. [KTeV Collaboration]. Measurements of direct CP violation, CPT symmetry, and other parameters in the neutral kaon system. Phys Rev D, 2003, 67: 012005 [Erratum-ibid. D, 2004, 70: 079904]

    Article  ADS  Google Scholar 

  12. Wu Y L, Zhou Y F. Implications of charmless B decays with large direct CP violation. Phys Rev D, 2005, 71: 021701

    Article  ADS  Google Scholar 

  13. Wu Y L, Zhou Y F. Charmless decays B→pi pi, pi K and K K in broken SU(3) symmetry. Phys Rev D, 2005, 72: 034037

    Article  ADS  Google Scholar 

  14. Wu Y L, Zhou Y F, Zhuang C. Implications of new data in charmless B decays. Phys Rev D, 2006, 74: 094007

    Article  ADS  Google Scholar 

  15. Abe K, et al. [Belle Collaboration]. Observation of large CP violation and evidence for direct CP violation in B 0→pi + pi-decays. Phys Rev Lett, 2004, 93: 021601

    Article  ADS  Google Scholar 

  16. Aubert B, et al. [BaBar Collaboration]. Observation of direct CP violation in B 0→K +π−. decays. Phys Rev Lett, 2004, 93: 131801

    Article  ADS  Google Scholar 

  17. Lee T D. A theory of spontaneous T violation. Phys Rev D, 1973, 8: 1226

    Article  ADS  Google Scholar 

  18. Lee T D. CP nonconservation and spontaneous symmetry breaking. Phys Rept, 1974, 9: 143

    Article  ADS  Google Scholar 

  19. Weinberg S. Phys Rev Lett, 1976, 37: 657

    Article  ADS  Google Scholar 

  20. Hall L J, Weinberg S. Flavor changing scalar interactions. Phys Rev D, 1993, 48: 979

    Article  ADS  Google Scholar 

  21. Wu Y L, Wolfenstein L. Sources of CP violation in the two Higgs doublet model. Phys Rev Lett, 1994, 73: 1762

    Article  ADS  Google Scholar 

  22. Wu Y L. hep-ph/9404241, 1994; In: Seestrom S J, ed. Proceedings of the 5th Conference on the Intersections of Particle and Nuclear Physics, St. Petersburg, FL. New York: AIP, 1995. 338, hep-ph/9406306

    Google Scholar 

  23. Wolfenstein L, Wu Y L. CP violation in the decay b→s gamma in the two Higgs doublet model. Phys Rev Lett, 1994, 73: 2809

    Article  ADS  Google Scholar 

  24. Wu Y L. Probing new physics from CP violation in radiative B decays. Chin Phys Lett, 1999, 16: 339

    Article  Google Scholar 

  25. Wu Y L, Zhou Y F. F0 anti-F0 mixing and CP violation in the general two Higgs doublet model. Phys Rev D, 2000, 61: 096001

    Article  ADS  Google Scholar 

  26. Wu Y L, Zhou Y F. Muon anomalous magnetic moment in the standard model with two Higgs doublets. Phys Rev D, 2001, 64: 115018

    Article  ADS  Google Scholar 

  27. Wu Y L, Zhuang C. Exclusive B→P V decays and CP violation in the general two-Higgs-doublet model. Phys Rev D, 2007, 75: 115006

    Article  ADS  Google Scholar 

  28. Pati J C, Salam A. Lepton number as the fourth color. Phys Rev D, 1974, 10: 275 [Erratum-ibid. D, 1975, 11: 703]

    Article  ADS  Google Scholar 

  29. Mohapatra R N, Pati J C. Left-right gauge symmetry and an isoconjugate model of CP violation. Phys Rev D, 1975, 11: 566

    Article  ADS  Google Scholar 

  30. Senjanovic G, Mohapatra R N. Exact left-right symmetry and spontaneous violation of parity. Phys Rev D, 1975, 12: 1502

    Article  ADS  Google Scholar 

  31. Chang D. A minimal model of spontaneous CP violation with the gauge group SU(2)-L × SU(2)-R × U(1)-(B-L). Nucl Phys B, 1983, 214: 435

    Article  ADS  Google Scholar 

  32. Frere J M, Galand J, Le Yaouanc A, et al. K0 anti-K0 in the SU(2)-L × SU(2)-R × U(1) model of CP violation. Phys Rev D, 1992, 46: 337

    Article  ADS  Google Scholar 

  33. Barenboim G, Bernabeu J, Raidal M. Spontaneous CP-violation in the left-right model and the kaon system. Nucl Phys B, 1996, 478: 527

    Article  ADS  Google Scholar 

  34. Ball P, Frere J M, Matias J. Anatomy of mixing-induced CP asymmetries in left-right-symmetric models with spontaneous CP violation. Nucl Phys B, 2000, 572: 3

    Article  ADS  Google Scholar 

  35. Pospelov M E. FCNC in left-right symmetric theories and constraints on the right-handed scale. Phys Rev D, 1997, 56: 259

    Article  ADS  Google Scholar 

  36. Deshpande N G, Gunion J F, Kayser B, et al. Left-right symmetric electroweak models with triplet Higgs. Phys Rev D, 1991, 44: 837

    Article  ADS  Google Scholar 

  37. Barenboim G, Gorbahn M, Nierste U, et al. Higgs sector of the minimal left-right symmetric model. Phys Rev D, 2002, 65: 095003

    Article  ADS  Google Scholar 

  38. Langacker P, Uma Sankar S. Bounds on the mass of W(R) and the W(L)-W(R) mixing angle xi in general SU(2)-L × SU(2)-R × U(1) models. Phys Rev D, 1989, 40: 1569

    Article  ADS  Google Scholar 

  39. Barenboim G, Bernabeu J, Prades J, et al. Constraints on the W(R) mass and CP-violation in left-right models. Phys Rev D, 1997, 55: 4213

    Article  ADS  Google Scholar 

  40. Zhang Y, An H, Ji X, et al. Right-handed quark mixings in minimal left-right symmetric model with general CP violation. Phys Rev D, 2007, 76: 091301

    Article  ADS  Google Scholar 

  41. Lee T D, Yang C N. Question of parity conservation in weak interactions. Phys Rev, 1956, 104: 254

    Article  ADS  Google Scholar 

  42. Kobzarev L, Okun L, Pomeranchuk I, et al. Nucl Phys, 1966, 3: 837

    Google Scholar 

  43. Wu Y L. Maximally symmetric minimal unification model SO(32) with three families in ten dimensional space-time. Mod Phys Lett, A, 2007, 22: 259

    Article  ADS  Google Scholar 

  44. Wu Y L. Stability of proton and maximally symmetric minimal unification model for basic forces and building blocks of matter. Sci China Ser G-Phys Mech Astron, 2007, 50(3): 303–310

    Article  ADS  Google Scholar 

  45. Branco G C, Lavoura L. Natural CP breaking in left-right symmetric theories. Phys Lett B, 1985, 165: 327

    Article  ADS  Google Scholar 

  46. Akeroyd A G, Aoki M, Okada M. Lepton flavour violating tau decays in the left-right symmetric model. Phys Rev D, 2007, 76: 013004

    Article  ADS  Google Scholar 

  47. Cheng T P, Sher M. Mass matrix ansatz and flavor nonconservation in models with multiple Higgs doublets. Phys Rev D, 1987, 35: 3484

    Article  ADS  Google Scholar 

  48. Inami T, Lim C S. Effects of superheavy quarks and leptons in low-energy weak processes K(L)→Mu Anti-Mu, K+→Pi+Neutrino Anti-Neutrino and K0→Anti-K0. Prog Theor Phys, 1981, 65: 297

    Article  ADS  Google Scholar 

  49. Herrlich S, Nierste U. The complete |ΔS| = 2 Hamiltonian in the next-to-leading order. Nucl Phys B, 1996, 476: 27

    Article  ADS  Google Scholar 

  50. Lellouch L. Light hadron weak matrix elements. Nucl Phys Proc Suppl, 2001, 94: 142

    Article  ADS  Google Scholar 

  51. Beall G, Bander M, Soni M. Constraint on the mass scale of a left-right symmetric electroweak theory from the K(L) K(S) mass difference. Phys Rev Lett, 1982, 48: 848

    Article  ADS  Google Scholar 

  52. Mohapatra R N, Senjanovic G, Tran M D. Strangeness changing processes and the limit on the right-handed gauge boson mass. Phys Rev D, 1983, 28: 546

    Article  ADS  Google Scholar 

  53. Gilman F J, Reno M H. Restrictions from the neutral k and b meson systems on left-right symmetric gauge theories. Phys Rev D, 1984, 29: 937

    Article  ADS  Google Scholar 

  54. Chang D, Basecq J, Li L F, et al. Comment on the K(L) K(S) mass difference in left-right model. Phys Rev D, 1984, 30: 1601

    Article  ADS  Google Scholar 

  55. Hou W S, Soni A. Gauge invariance of the K(L) K(S) mass difference in left-right symmetric model. Phys Rev D, 1985, 32: 163

    Article  ADS  Google Scholar 

  56. Basecq J, Li L F, Pal P B. Gauge invariant calculation of the K(L) K(S) mass difference in the left-right model. Phys Rev D, 1985, 32: 175

    Article  ADS  Google Scholar 

  57. Ecker G, Grimus W. CP violation and left-right symmetry. Nucl Phys B, 1985, 258: 328

    Article  ADS  Google Scholar 

  58. Sahoo S, Maharana L, Roul A, et al. The masses of W(R) triplet Higgs, and Z-prime bosons in the left-right symmetric model. Int J Mod Phys A, 2005, 20: 2625

    Article  MATH  ADS  Google Scholar 

  59. Abbott L F, Sikivie P, Wise M B. Constraints on charged Higgs couplings. Phys Rev D, 1980, 21: 1393

    Article  ADS  Google Scholar 

  60. Charles J, et al. [CKMfitter Group]. CP violation and the CKM matrix: Assessing the impact of the asymmetric B factories. Eur Phys J C, 2005, 41: 1. Updated results may be found on the website: http://ckmfitter.in2p3.fr/

    Article  ADS  Google Scholar 

  61. Evans H G. [CDF Collaboration]. Bs physics at CDF and D0. arXiv:0705.4598 [hep-ex]

Download references

Author information

Authors and Affiliations

  1. Kavli Institute for Theoretical Physics China, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China

    YueLiang Wu

  2. KEK, Tsukuba, 305-0801, Japan

    YuFeng Zhou

Authors
  1. YueLiang Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. YuFeng Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to YueLiang Wu.

Additional information

Supported by the National Natural Science Foundation of China (NSFC) (Grant Nos. 10475105 and 10491306) and the Key Project of Chinese Academy of Sciences (CAS)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, Y., Zhou, Y. Two Higgs bi-doublet left-right model with spontaneous P and CP violation. Sci. China Ser. G-Phys. Mech. Astron. 51, 1808–1825 (2008). https://doi.org/10.1007/s11433-008-0193-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11433-008-0193-4

Keywords

Search

Navigation