Skip to main content
Log in

CP violation in charged Higgs production and decays in the Complex Two Higgs Doublet Model

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

Abstract

We study the effects of CP violation in charged Higgs boson production pptH ± + X at the LHC, as well as in the charged Higgs boson decays H ±tb and H ±W ± H i 0, i = 1, 2, 3. The study is done in the framework of the type II complex Two Higgs Doublet Model (2HDM) with softly broken Z 2 symmetry. In this model violation of CP invariance is induced by the complex parameter m 212 of the tree-level Higgs potential. We calculate the CP violating rate asymmetries for H + and H production and decays as well as for the combined processes at one-loop level and perform a detailed numerical analysis. All calculations are done with the automatic amplitude generator FeynArts and the calculational tool FormCalc, for which we have written a complete complex 2HDM model file and relevant fortran drivers. The implementation of the complex 2HDM in FeynArts and FormCalc is described. In comparison with the analogous results in the MSSM, all considered CP violating asymmetries are smaller by an order of magnitude and do not exceed 2 ÷ 3%.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Riotto, Theories of baryogenesis, lectures delivered at the Summer School in High Energy Physics and Cosmology, Trieste Italy, June–July 1998 [hep-ph/9807454] [SPIRES].

  2. A.D. Dolgov, Baryogenesis, 30 years after, lectures given at the 25th ITEP Winter School of Physics, Moscow Russia, February 1997. [hep-ph/9707419] [SPIRES].

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

    Article  ADS  Google Scholar 

  4. G.C. Branco, L. Lavoura and J.P. Silva, CP violation, Int. Ser. Monogr. Phys. 103 (1999) 1.

    Google Scholar 

  5. J.F. Gunion and H.E. Haber, Conditions for CP-violation in the general two-Higgs-doublet model, Phys. Rev. D 72 (2005) 095002 [hep-ph/0506227] [SPIRES].

    ADS  Google Scholar 

  6. G.C. Branco, M.N. Rebelo and J.I. Silva-Marcos, CP-odd invariants in models with several Higgs doublets, Phys. Lett. B 614 (2005) 187 [hep-ph/0502118] [SPIRES].

    ADS  Google Scholar 

  7. M.S. Carena, J.R. Ellis, A. Pilaftsis and C.E.M. Wagner, Renormalization-group-improved effective potential for the MSSM Higgs sector with explicit CP-violation, Nucl. Phys. B 586 (2000) 92 [hep-ph/0003180] [SPIRES].

    Article  ADS  Google Scholar 

  8. E. Christova, H. Eberl, W. Majerotto and S. Kraml, CP violation in charged Higgs decays in the MSSM with complex parameters, Nucl. Phys. B 639 (2002) 263 [hep-ph/0205227] [SPIRES].

    Article  ADS  Google Scholar 

  9. E. Christova, H. Eberl, E. Ginina and W. Majerotto, CP violation in charged Higgs decays in the MSSM, JHEP 02 (2007) 075 [hep-ph/0612088] [SPIRES].

    Article  ADS  Google Scholar 

  10. E. Christova, E. Ginina and M. Stoilov, Supersymmetry through CP-violation in H ±W ± h 0, JHEP 11 (2003) 027 [hep-ph/0307319] [SPIRES].

    Article  ADS  Google Scholar 

  11. W. Hollik and D.T. Nhung, CP violating asymmetry in H ±W ± h 1 decays, JHEP 01 (2011) 060 [arXiv:1008.2659] [SPIRES].

    Article  ADS  Google Scholar 

  12. T.N. Dao, W. Hollik and D.N. Le, W H ± production and CP asymmetry at the LHC, arXiv:1011.4820 [SPIRES].

  13. E. Christova, H. Eberl, E. Ginina and W. Majerotto, CP violation in H ± t production at the LHC, Phys. Rev. D 79 (2009) 096005 [arXiv:0812.4392] [SPIRES].

    ADS  Google Scholar 

  14. E. Ginina, E. Christova and H. Eberl, CP violation in associated production of charged Higgs boson and top quark at the LHC, PoS(CHARGED2008)013 [arXiv:0812.1129] [SPIRES].

  15. E. Christova, H. Eberl and E. Ginina, Charged Higgs production at the LHC and CP asymmetries, AIP Conf. Proc. 1200 (2010) 522 [arXiv:0912.3156] [SPIRES].

    Article  ADS  Google Scholar 

  16. T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun. 140 (2001) 418 [hep-ph/0012260] [SPIRES].

    Article  ADS  MATH  Google Scholar 

  17. J. Küblbeck, M. Böhm and A. Denner, Feyn arts: computer-algebraic generation of Feynman graphs and amplitudes, Comput. Phys. Commun. 60 (1990) 165 [SPIRES].

    Article  ADS  Google Scholar 

  18. T. Hahn and J.I. Illana, Excursions into FeynArts and FormCalc, Nucl. Phys. Proc. Suppl. 160 (2006) 101 [hep-ph/0607049] [SPIRES].

    Article  ADS  Google Scholar 

  19. T. Hahn and M. Pérez-Victoria, Automatized one-loop calculations in four and D dimensions, Comput. Phys. Commun. 118 (1999) 153 [hep-ph/9807565] [SPIRES].

    Article  ADS  Google Scholar 

  20. J.F. Gunion, H.E. Haber, G. Kane and S. Dawson, The Higgs Hunter’s Guide, Addison-Wesley Publishing Co, New York U.S.A. (1990).

    Google Scholar 

  21. R.A. Diaz, Phenomenological analysis of the two Higgs doublet model, hep-ph/0212237 [SPIRES].

  22. W.-S. Hou, Enhanced charged Higgs boson effects in \( {B^{-} } \to \tau \bar{\nu } \) , \( \mu \bar{\nu } \) and \( b \to \tau \bar{\nu } + X \), Phys. Rev. D 48 (1993) 2342 [SPIRES].

    ADS  Google Scholar 

  23. A.G. Akeroyd and F. Mahmoudi, Constraints on charged Higgs bosons from D(s)±mu ± v and D(s)±τ ± ν, JHEP 04 (2009) 121 [arXiv:0902.2393] [SPIRES].

    Article  ADS  Google Scholar 

  24. T.D. Lee, A Theory of Spontaneous T Violation, Phys. Rev. D 8 (1973) 1226 [SPIRES].

    ADS  Google Scholar 

  25. G.C. Branco and M.N. Rebelo, The Higgs Mass In A Model With Two Scalar Doublets And Spontaneous CP Violation, Phys. Lett. B 160 (1985) 117 [SPIRES].

    ADS  Google Scholar 

  26. S. Weinberg, Gauge Theory of CP-violation, Phys. Rev. Lett. 37 (1976) 657 [SPIRES].

    Article  ADS  Google Scholar 

  27. J. Liu and L. Wolfenstein, Spontaneous CP-violation in the SU(2) L × U(1) Y Model with Two Higgs Doublets, Nucl. Phys. B 289 (1987) 1 [SPIRES].

    Article  ADS  Google Scholar 

  28. I.F. Ginzburg and M. Krawczyk, Symmetries of two Higgs doublet model and CP-violation, Phys. Rev. D 72 (2005) 115013 [hep-ph/0408011] [SPIRES].

    ADS  Google Scholar 

  29. P. Osland, P.N. Pandita and L. Selbuz, Trilinear Higgs couplings in the two Higgs doublet model with CP-violation, Phys. Rev. D 78 (2008) 015003 [arXiv:0802.0060] [SPIRES].

    ADS  Google Scholar 

  30. A.W. El Kaffas, W. Khater, O.M. Ogreid and P. Osland, Consistency of the Two Higgs Doublet Model and CP-violation in top production at the LHC, Nucl. Phys. B 775 (2007) 45 [hep-ph/0605142] [SPIRES].

    Article  ADS  Google Scholar 

  31. S.L. Glashow and S. Weinberg, Natural Conservation Laws for Neutral Currents, Phys. Rev. D 15 (1977) 1958 [SPIRES].

    ADS  Google Scholar 

  32. W. Khater and P. Osland, CP violation in top quark production at the LHC and two-Higgs-doublet models, Nucl. Phys. B 661 (2003) 209 [hep-ph/0302004] [SPIRES].

    ADS  Google Scholar 

  33. B. Grzadkowski and P. Osland, Tempered Two-Higgs-Doublet Model, Phys. Rev. D 82 (2010) 125026 [arXiv:0910.4068] [SPIRES].

    ADS  Google Scholar 

  34. A.W. El Kaffas, P. Osland and O.M. Ogreid, CP violation, stability and unitarity of the two Higgs doublet model, Nonlin. Phenom. Complex Syst. 10 (2007) 347 [hep-ph/0702097] [SPIRES].

    Google Scholar 

  35. A. Wahab El Kaffas, P. Osland and O.M. Ogreid, Constraining the Two-Higgs-Doublet-Model parameter space, Phys. Rev. D 76 (2007) 095001 [arXiv:0706.2997] [SPIRES].

    ADS  Google Scholar 

  36. R.M. Barnett, G. Senjanović and D. Wyler, Tracking Down Higgs Scalars W ith Enhanced Couplings, Phys. Rev. D 30 (1984) 1529 [SPIRES].

    ADS  Google Scholar 

  37. R.M. Barnett, G. Senjanović, L. Wolfenstein and D. Wyler, Implications Of A Light Higgs Scalar, Phys. Lett. B 136 (1984) 191 [SPIRES].

    ADS  Google Scholar 

  38. A.G. Akeroyd, Non-minimal neutral Higgs bosons at LEP2, Phys. Lett. B 377 (1996) 95 [hep-ph/9603445] [SPIRES].

    ADS  Google Scholar 

  39. M. Aoki, S. Kanemura, K. Tsumura and K. Yagyu, Models of Yukawa interaction in the two Higgs doublet model and their collider phenomenology, Phys. Rev. D 80 (2009) 015017 [arXiv:0902.4665] [SPIRES].

    ADS  Google Scholar 

  40. H.E. Logan and D. MacLennan, Charged Higgs phenomenology in the lepton-specific two Higgs doublet model, Phys. Rev. D 79 (2009) 115022 [arXiv:0903.2246] [SPIRES].

    ADS  Google Scholar 

  41. S. Su and B. Thomas, The LHC Discovery Potential of a Leptophilic Higgs, Phys. Rev. D 79 (2009) 095014 [arXiv:0903.0667] [SPIRES].

    ADS  Google Scholar 

  42. G.J. van Oldenborgh, FF: A Package to evaluate one loop Feynman diagrams, Comput. Phys. Commun. 66 (1991) 1 [SPIRES].

    Article  ADS  MATH  Google Scholar 

  43. T. Hahn, Loop calculations with FeynArts, FormCalc and LoopTools, Acta Phys. Polon. B 30 (1999) 3469 [hep-ph/9910227] [SPIRES].

    ADS  Google Scholar 

  44. T. Hahn, FeynArts User’s Guide, FormCalc User’s Guide and LoopTools User’s Guide, http://www.feynarts.de.

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

    ADS  Google Scholar 

  46. Tevatron Electroweak Working Group and CDF and D0 collaboration, Combination of CDF and D0 Results on the Mass of the Top Quark, arXiv:0903.2503 [SPIRES].

  47. T. Hayashi, Y. Koide, M. Matsuda, M. Tanimoto and S. Wakaizumi, Electric dipole moments of neutron and electron in two Higgs doublet model with maximal CP-violation, Phys. Lett. B 348 (1995) 489 [hep-ph/9410413] [SPIRES].

    ADS  Google Scholar 

  48. A.W. El Kaffas, O.M. Ogreid and P. Osland, Profile of Two-Higgs-Doublet-Model Parameter Space, in Proceedings of 2007 International Linear Collider Workshop (LCWS07 and ILC07), Hamburg Germany, 30 May–3 Jun 2007 [arXiv:0709.4203] [SPIRES].

  49. A. Arhrib, R. Benbrik and C.-W. Chiang, Probing triple Higgs couplings of the Two Higgs Doublet Model at Linear Collider, Phys. Rev. D 77 (2008) 115013 [arXiv:0802.0319] [SPIRES].

    ADS  Google Scholar 

  50. Particle Data Group collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021 [SPIRES].

    ADS  Google Scholar 

  51. LEP Working Group for Higgs boson searches collaboration, R. Barate et al., Search for the standard model Higgs boson at LEP, Phys. Lett. B 565 (2003) 61 [hep-ex/0306033] [SPIRES].

    ADS  Google Scholar 

  52. ALEPH collaboration, S. Schael et al., Search for neutral MSSM Higgs bosons at LEP, Eur. Phys. J. C 47 (2006) 547 [hep-ex/0602042] [SPIRES].

    Article  ADS  Google Scholar 

  53. CDF collaboration, A. Abulencia et al., Search for charged Higgs bosons from top quark decays in \( p\bar{p} \) collisions at \( \sqrt {s} = 1.96\;TeV \), Phys. Rev. Lett. 96 (2006) 042003 [hep-ex/0510065] [SPIRES].

    Article  ADS  Google Scholar 

  54. D0 collaboration, V.M. Abazov et al., Direct search for charged Higgs bosons in decays of top quarks, Phys. Rev. Lett. 88 (2002) 151803 [hep-ex/0102039] [SPIRES].

    Article  ADS  Google Scholar 

  55. M. Ciuchini, G. Degrassi, P. Gambino and G.F. Giudice, Next-to-leading QCD corrections to BX s γ: Standard model and two-Higgs doublet model, Nucl. Phys. B 527 (1998) 21 [hep-ph/9710335] [SPIRES].

    Article  ADS  Google Scholar 

  56. P. Ciafaloni, A. Romanino and A. Strumia, Two-loop QCD corrections to charged-Higgs-mediated bsγ decay, Nucl. Phys. B 524 (1998) 361 [hep-ph/9710312] [SPIRES].

    Article  ADS  Google Scholar 

  57. F. Borzumati and C. Greub, 2HDMs predictions for \( \bar{B} \to {X_s}\gamma \) in NLO QCD, Phys. Rev. D 58 (1998) 074004 [hep-ph/9802391] [SPIRES].

    ADS  Google Scholar 

  58. T.M. Aliev and E.O. Iltan, B s γγ decay in the two Higgs doublet model with flavor changing neutral currents, Phys. Rev. D 58 (1998) 095014 [hep-ph/9803459] [SPIRES].

    ADS  Google Scholar 

  59. M. Misiak and M. Steinhauser, NNLO QCD corrections to the BX s γ matrix elements using interpolation in m c , Nucl. Phys. B 764 (2007) 62 [hep-ph/0609241] [SPIRES].

    Article  ADS  Google Scholar 

  60. M. Misiak et al., The first estimate of \( B\left( {\bar{B} \to {X_s}\gamma } \right) \) at O(α s 2 ), Phys. Rev. Lett. 98 (2007) 022002 [hep-ph/0609232] [SPIRES].

    Article  ADS  Google Scholar 

  61. T. Becher and M. Neubert, Analysis of Br(BX s γ) at NNLO with a cut on photon energy, Phys. Rev. Lett. 98 (2007) 022003 [hep-ph/0610067] [SPIRES].

    Article  ADS  Google Scholar 

  62. D.A. Ross and M.J.G. Veltman, Neutral Currents in Neutrino Experiments, Nucl. Phys. B 95 (1975) 135 [SPIRES].

    Article  ADS  Google Scholar 

  63. M.B. Einhorn, D.R.T. Jones and M.J.G. Veltman, Heavy Particles and the rho Parameter in the Standard Model, Nucl. Phys. B 191 (1981) 146 [SPIRES].

    Article  ADS  Google Scholar 

  64. A. Belyaev, D. Garcia, J. Guasch and J. Solà, Prospects for heavy supersymmetric charged Higgs boson searches at hadron colliders, JHEP 06 (2002) 059 [hep-ph/0203031] [SPIRES].

    Article  ADS  Google Scholar 

  65. D. Eriksson, J. Rathsman and O. Stal, 2HDMC: Two-Higgs-doublet model calculator, Comput. Phys. Commun. 181 (2010) 833 [SPIRES].

    Article  ADS  Google Scholar 

  66. D. Eriksson, J. Rathsman and O. Stal, 2HDMC-Two-Higgs-Doublet Model Calculator Physics and Manual, Comput. Phys. Commun. 181 (2010) 189 [arXiv:0902.0851] [SPIRES].

    Article  ADS  MATH  Google Scholar 

  67. N.D. Christensen and C. Duhr, FeynRules-Feynman rules made easy, Comput. Phys. Commun. 180 (2009) 1614 [arXiv:0806.4194] [SPIRES].

    Article  ADS  Google Scholar 

  68. A. Arhrib, R. Benbrik, C.-H. Chen, R. Guedes and R. Santos, Double Neutral Higgs production in the Two-Higgs doublet model at the LHC, JHEP 08 (2009) 035 [arXiv:0906.0387] [SPIRES].

    Article  ADS  Google Scholar 

  69. M.N. Dubinin and A.V. Semenov, Triple and quartic interactions of Higgs bosons in the two-Higgs-doublet model with CP-violation, Eur. Phys. J. C 28 (2003) 223 [hep-ph/0206205] [SPIRES].

    ADS  Google Scholar 

  70. M. Malinsky and J. Horejsi, Triple gauge vertices at one-loop level in THDM, Eur. Phys. J. C 34 (2004) 477 [hep-ph/0308247] [SPIRES].

    ADS  Google Scholar 

  71. J.A.M. Vermaseren, New features of FORM, math-ph/0010025 [SPIRES].

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. Ginina.

Additional information

ArXiv ePrint: 1011.6560

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arhrib, A., Christova, E., Eberl, H. et al. CP violation in charged Higgs production and decays in the Complex Two Higgs Doublet Model. J. High Energ. Phys. 2011, 89 (2011). https://doi.org/10.1007/JHEP04(2011)089

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP04(2011)089

Keywords

Navigation