Skip to main content
Log in

The physics of the θ-angle for composite extensions of the standard model

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

We analyse the θ-angle physics associated to extensions of the standard model of particle interactions featuring new strongly coupled sectors. We start by providing a pedagogical review of the θ-angle physics for Quantum Chromodynamics (QCD) including also the axion properties. We then move to analyse composite extensions of the standard model elucidating the interplay between the new θ-angle with the QCD one. We consider first QCD-like dynamics and then generalise it to consider several kinds of new strongly coupled gauge theories with fermions transforming according to different matter representations. Our analysis is of immediate use for different models of composite Higgs dynamics, composite dark matter and inflation.

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. Planck Collaboration (P. Ade) arXiv:1303.5076 [astro-ph.CO] (2013).

  2. R. Crewther, P. Di Vecchia, G. Veneziano, E. Witten, Phys. Lett. B 88, 123 (1979).

    Article  ADS  Google Scholar 

  3. E. Witten, Nucl. Phys. B 156, 269 (1979).

    Article  ADS  MathSciNet  Google Scholar 

  4. G. Veneziano, Nucl. Phys. B 159, 213 (1979).

    Article  ADS  MathSciNet  Google Scholar 

  5. P. Di Vecchia, Phys. Lett. B 85, 357 (1979).

    Article  ADS  Google Scholar 

  6. C. Rosenzweig, J. Schechter, C. Trahern, Phys. Rev. D 21, 3388 (1980).

    Article  ADS  Google Scholar 

  7. P. Di Vecchia, G. Veneziano, Nucl. Phys. B 171, 253 (1980).

    Article  ADS  Google Scholar 

  8. R. Crewther, NATO Adv. Study Inst. Ser. B Phys. 55, 529 (1980).

    Google Scholar 

  9. E. Witten, Ann. Phys. 128, 363 (1980).

    Article  ADS  Google Scholar 

  10. P. Di Vecchia, Acta Phys. Austr. XXII, 341 (1980) Lecture given at the XIX Internationale Universitaetswochen fuer Kernphysik, Schladming, Austria, February 20-29, 1980.

    Google Scholar 

  11. K. Kawarabayashi, N. Ohta, Nucl. Phys. B 175, 477 (1980).

    Article  ADS  Google Scholar 

  12. K. Kawarabayashi, N. Ohta, Prog. Theor. Phys. 66, 1789 (1981).

    Article  ADS  Google Scholar 

  13. N. Ohta, Prog. Theor. Phys. 66, 1408 (1981).

    Article  ADS  MATH  Google Scholar 

  14. S. Narison, Phys. Lett. B 666, 455 (2008) arXiv:0806.2618 [hep-ph].

    Article  ADS  Google Scholar 

  15. Particle Data Group (J. Beringer et al.), Phys. Rev. D 86, 010001 (2012).

    Article  ADS  Google Scholar 

  16. ATLAS Collaboration (G. Aad et al.), Phys. Lett. B 716, 1 (2012) arXiv:1207.7214 [hep-ex].

    Article  ADS  Google Scholar 

  17. CMS Collaboration (S. Chatrchyan et al.), Phys. Lett. B 716, 30 (2012) arXiv:1207.7235 [hep-ex].

    Article  ADS  Google Scholar 

  18. A.H. Guth, Phys. Rev. D 23, 347 (1981).

    Article  ADS  Google Scholar 

  19. A.D. Linde, Phys. Lett. B 108, 389 (1982).

    Article  ADS  MathSciNet  Google Scholar 

  20. F. Sannino, K. Tuominen, Phys. Rev. D 71, 051901 (2005) arXiv:hep-ph/0405209 [hep-ph].

    Article  ADS  Google Scholar 

  21. D.D. Dietrich, F. Sannino, K. Tuominen, Phys. Rev. D 72, 055001 (2005) arXiv:hep-ph/0505059 [hep-ph].

    Article  ADS  Google Scholar 

  22. D.D. Dietrich, F. Sannino, K. Tuominen, Phys. Rev. D 73, 037701 (2006) arXiv:hep-ph/0510217 [hep-ph].

    Article  ADS  Google Scholar 

  23. D.D. Dietrich, F. Sannino, Phys. Rev. D 75, 085018 (2007) arXiv:hep-ph/0611341 [hep-ph].

    Article  ADS  MathSciNet  Google Scholar 

  24. S.B. Gudnason, T.A. Ryttov, F. Sannino, Phys. Rev. D 76, 015005 (2007) arXiv:hep-ph/0612230 [hep-ph].

    Article  ADS  Google Scholar 

  25. T.A. Ryttov, F. Sannino, Phys. Rev. D 78, 115010 (2008) arXiv:0809.0713 [hep-ph].

    Article  ADS  Google Scholar 

  26. F. Sannino, Phys. Rev. D 79, 096007 (2009) arXiv:0902.3494 [hep-ph].

    Article  ADS  Google Scholar 

  27. M.T. Frandsen, F. Sannino, Phys. Rev. D 81, 097704 (2010) arXiv:0911.1570 [hep-ph].

    Article  ADS  Google Scholar 

  28. S.B. Gudnason, C. Kouvaris, F. Sannino, Phys. Rev. D 73, 115003 (2006) arXiv:hep-ph/0603014 [hep-ph].

    Article  ADS  Google Scholar 

  29. S.B. Gudnason, C. Kouvaris, F. Sannino, Phys. Rev. D 74, 095008 (2006) arXiv:hep-ph/0608055 [hep-ph].

    Article  ADS  Google Scholar 

  30. E. Del Nobile, C. Kouvaris, F. Sannino, Phys. Rev. D 84, 027301 (2011) arXiv:1105.5431 [hep-ph].

    Article  ADS  Google Scholar 

  31. P. Channuie, J.J. Joergensen, F. Sannino, JCAP 05, 007 (2011) arXiv:1102.2898 [hep-ph].

    Article  ADS  Google Scholar 

  32. F. Bezrukov, P. Channuie, J.J. Joergensen, F. Sannino, Phys. Rev. D 86, 063513 (2012) arXiv:1112.4054 [hep-ph].

    Article  ADS  Google Scholar 

  33. P. Channuie, J.J. Jorgensen, F. Sannino, Phys. Rev. D 86, 125035 (2012) arXiv:1209.6362 [hep-ph].

    Article  ADS  Google Scholar 

  34. P. Channuie, K. Karwan, arXiv:1307.2880 [hep-ph] (2013).

  35. M. Gell-Mann, R. Oakes, B. Renner, Phys. Rev. 175, 2195 (1968).

    Article  ADS  Google Scholar 

  36. R. Peccei, H.R. Quinn, Phys. Rev. Lett. 38, 1440 (1977).

    Article  ADS  Google Scholar 

  37. R. Peccei, H.R. Quinn, Phys. Rev. D 16, 1791 (1977).

    Article  ADS  Google Scholar 

  38. F. Sannino, Acta Phys. Pol. B 40, 3533 (2009) arXiv:0911.0931 [hep-ph].

    Google Scholar 

  39. S. Nussinov, Phys. Lett. B 165, 55 (1985).

    Article  ADS  Google Scholar 

  40. S.M. Barr, R.S. Chivukula, E. Farhi, Phys. Lett. B 241, 387 (1990).

    Article  ADS  Google Scholar 

  41. R. Foadi, M.T. Frandsen, F. Sannino, Phys. Rev. D 80, 037702 (2009) arXiv:0812.3406 [hep-ph].

    Article  ADS  Google Scholar 

  42. E. Nardi, F. Sannino, A. Strumia, JCAP 01, 043 (2009) arXiv:0811.4153 [hep-ph].

    Article  ADS  Google Scholar 

  43. F. Sannino, R. Zwicky, Phys. Rev. D 79, 015016 (2009) arXiv:0810.2686 [hep-ph].

    Article  ADS  Google Scholar 

  44. M.R. Buckley, E.T. Neil, Phys. Rev. D 87, 043510 (2013) arXiv:1209.6054 [hep-ph].

    Article  ADS  Google Scholar 

  45. R. Lewis, C. Pica, F. Sannino, Phys. Rev. D 85, 014504 (2012) arXiv:1109.3513 [hep-ph].

    Article  ADS  Google Scholar 

  46. A. Hietanen, C. Pica, F. Sannino, U.I. Sondergaard, Phys. Rev. D 87, 034508 (2013) arXiv:1211.5021 [hep-lat].

    Article  ADS  Google Scholar 

  47. T. Appelquist, R. Brower, M. Buchoff, M. Cheng, S. Cohen et al., Phys. Rev. D 88, 014502 (2013) arXiv:1301.1693 [hep-ph].

    Article  ADS  Google Scholar 

  48. A. Hietanen, R. Lewis, C. Pica, F. Sannino, arXiv:1308.4130 [hep-ph] (2013).

  49. P. Di Vecchia, G. Veneziano, Phys. Lett. B 95, 247 (1980).

    Article  ADS  Google Scholar 

  50. E. Corrigan, P. Ramond, Phys. Lett. B 87, 73 (1979).

    Article  ADS  Google Scholar 

  51. E.B. Kiritsis, J. Papavassiliou, Phys. Rev. D 42, 4238 (1990).

    Article  ADS  Google Scholar 

  52. A. Armoni, M. Shifman, G. Veneziano, Nucl. Phys. B 667, 170 (2003).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  53. F. Sannino, M. Shifman, Phys. Rev. D 69, 125004 (2004) arXiv:hep-th/0309252 [hep-th].

    Article  ADS  MathSciNet  Google Scholar 

  54. F. Sannino, J. Schechter, Phys. Rev. D 76, 014014 (2007) arXiv:0704.0602 [hep-ph].

    Article  ADS  Google Scholar 

  55. D.K. Hong, S.D. Hsu, F. Sannino, Phys. Lett. B 597, 89 (2004) arXiv:hep-ph/0406200 [hep-ph].

    Article  ADS  Google Scholar 

  56. S. Catterall, F. Sannino, Phys. Rev. D 76, 034504 (2007) arXiv:0705.1664 [hep-lat].

    Article  ADS  Google Scholar 

  57. S. Catterall, J. Giedt, F. Sannino, J. Schneible, JHEP 11, 009 (2008) arXiv:0807.0792 [hep-lat].

    Article  ADS  Google Scholar 

  58. A.J. Hietanen, J. Rantaharju, K. Rummukainen, K. Tuominen, JHEP 05, 025 (2009) arXiv:0812.1467 [hep-lat].

    Article  ADS  Google Scholar 

  59. S. Catterall, J. Giedt, F. Sannino, J. Schneible, arXiv:0910.4387 [hep-lat] (2009).

  60. L. Del Debbio, B. Lucini, A. Patella, C. Pica, A. Rago, Phys. Rev. D 82, 014510 (2010) arXiv:1004.3206 [hep-lat].

    Article  ADS  Google Scholar 

  61. J. Kogut, D. Sinclair, Phys. Rev. D 81, 114507 (2010) arXiv:1002.2988 [hep-lat].

    Article  ADS  Google Scholar 

  62. J. Kogut, D. Sinclair, Phys. Rev. D 85, 054505 (2012) arXiv:1111.3353 [hep-lat].

    Article  ADS  Google Scholar 

  63. F. Bursa, L. Del Debbio, D. Henty, E. Kerrane, B. Lucini et al., Phys. Rev. D 84, 034506 (2011) arXiv:1104.4301 [hep-lat].

    Article  ADS  Google Scholar 

  64. J. Giedt, E. Weinberg, Phys. Rev. D 85, 097503 (2012) arXiv:1201.6262 [hep-lat].

    Article  ADS  Google Scholar 

  65. Z. Fodor, K. Holland, J. Kuti, D. Nogradi, C. Schroeder et al., Phys. Lett. B 718, 657 (2012) arXiv:1209.0391 [hep-lat].

    Article  ADS  MathSciNet  Google Scholar 

  66. T. Appelquist, F. Sannino, Phys. Rev. D 59, 067702 (1999) arXiv:hep-ph/9806409 [hep-ph].

    Article  ADS  Google Scholar 

  67. R. Foadi, M.T. Frandsen, T.A. Ryttov, F. Sannino, Phys. Rev. D 76, 055005 (2007) arXiv:0706.1696 [hep-ph].

    Article  ADS  Google Scholar 

  68. A. Belyaev, R. Foadi, M.T. Frandsen, M. Jarvinen, F. Sannino et al., Phys. Rev. D 79, 035006 (2009) arXiv:0809.0793 [hep-ph].

    Article  ADS  Google Scholar 

  69. J. Andersen et al., Eur. Phys. J. Plus 126, 81 (2011) arXiv:1104.1255 [hep-ph].

    Article  Google Scholar 

  70. D.B. Franzosi, R. Foadi arXiv:1209.5913 [hep-ph] (2012).

    Article  Google Scholar 

  71. R. Foadi, M.T. Frandsen, F. Sannino, Phys. Rev. D 87, 095001 (2013) arXiv:1211.1083 [hep-ph].

    Article  ADS  Google Scholar 

  72. T.A. Ryttov, F. Sannino, Phys. Rev. D 78, 065001 (2008) arXiv:0711.3745 [hep-th].

    Article  ADS  Google Scholar 

  73. C. Pica, F. Sannino, Phys. Rev. D 83, 116001 (2011) arXiv:1011.3832 [hep-ph].

    Article  ADS  Google Scholar 

  74. C. Pica, F. Sannino, Phys. Rev. D 83, 035013 (2011) arXiv:1011.5917 [hep-ph].

    Article  ADS  Google Scholar 

  75. F. Sannino, J. Schechter, Phys. Rev. D 52, 96 (1995) arXiv:hep-ph/9501417 [hep-ph].

    Article  ADS  Google Scholar 

  76. M. Harada, F. Sannino, J. Schechter, Phys. Rev. D 54, 1991 (1996) arXiv:hep-ph/9511335 [hep-ph].

    Article  ADS  Google Scholar 

  77. M. Harada, F. Sannino, J. Schechter, Phys. Rev. Lett. 78, 1603 (1997).

    Article  ADS  Google Scholar 

  78. D. Black, A.H. Fariborz, F. Sannino, J. Schechter, Phys. Rev. D 59, 074026 (1999) arXiv:hep-ph/9808415 [hep-ph].

    Article  ADS  Google Scholar 

  79. G. Colangelo, J. Gasser, H. Leutwyler, Nucl. Phys. B 603, 125 (2001).

    Article  ADS  Google Scholar 

  80. B. Ananthanarayan, G. Colangelo, J. Gasser, H. Leutwyler, Phys. Rep. 353, 207 (2001) arXiv:hep-ph/0005297 [hep-ph].

    Article  ADS  MATH  Google Scholar 

  81. R. Kaminski, L. Lesniak, B. Loiseau, Phys. Lett. B 551, 241 (2003) arXiv:hep-ph/0210334 [hep-ph].

    Article  ADS  Google Scholar 

  82. I. Caprini, G. Colangelo, H. Leutwyler, Phys. Rev. Lett. 96, 132001 (2006) arXiv:hep-ph/0512364 [hep-ph].

    Article  ADS  Google Scholar 

  83. R. Garcia-Martin, R. Kaminski, J. Pelaez, J. Ruiz de Elvira, F. Yndurain, Phys. Rev. D 83, 074004 (2011) arXiv:1102.2183 [hep-ph].

    Article  ADS  Google Scholar 

  84. B. Moussallam, Eur. Phys. J. C 71, 1814 (2011) arXiv:1110.6074 [hep-ph].

    Article  ADS  Google Scholar 

  85. S. Roy, Phys. Lett. B 36, 353 (1971).

    Article  ADS  Google Scholar 

  86. M. Johnson, E. Teller, Phys. Rev. 98, 783 (1955).

    Article  ADS  MATH  Google Scholar 

  87. M. Gell-Mann, M. Levy, Nuovo Cimento 16, 705 (1960).

    Article  MATH  MathSciNet  Google Scholar 

  88. F. Sannino, arXiv:1306.6346 [hep-ph] (2013).

  89. G. Degrassi et al., JHEP 08, 098 (2012) arXiv:1205.6497 [hep-ph].

    Article  ADS  Google Scholar 

  90. O. Antipin, M. Gillioz, J. Krog, E. Mlgaard, F. Sannino, arXiv:1306.3234 [hep-ph] (2013).

  91. O. Antipin, M. Gillioz, E. Mlgaard, F. Sannino, Phys. Rev. D 87, 125017 (2013) arXiv:1303.1525 [hep-th].

    Article  ADS  Google Scholar 

  92. S. Weinberg, Phys. Rev. D 19, 1277 (1979).

    Article  ADS  Google Scholar 

  93. L. Susskind, Phys. Rev. D 20, 2619 (1979).

    Article  ADS  Google Scholar 

  94. A. Belyaev, M.S. Brown, R. Foadi, M.T. Frandsen, arXiv:1309.2097 [hep-ph] (2013).

  95. R. Foadi, F. Sannino, Phys. Rev. D 87, 015008 (2013) arXiv:1207.1541 [hep-ph].

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Paolo Di Vecchia.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Di Vecchia, P., Sannino, F. The physics of the θ-angle for composite extensions of the standard model. Eur. Phys. J. Plus 129, 262 (2014). https://doi.org/10.1140/epjp/i2014-14262-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2014-14262-4

Keywords

Navigation