Skip to main content
Log in

Higgs physics: Theory

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

The theoretical aspects of the physics of Higgs bosons are reviewed focussing on the elements that are relevant for the production and detection at present hadron colliders. After briefly summarizing the basics of electroweak symmetry breaking in the Standard Model, the Higgs production at the LHC and at the Tevatron is discussed, with some focus on the main production mechanism, the gluon–gluon fusion process, and the main Higgs decay modes and the experimental detection channels are discussed. Then the case of the minimal supersymmetric extension of the Standard Model is briefly surveyed. In the last section, the prospects for determining the fundamental properties of the Higgs particles are reviewed, once they have been experimentally observed.

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.

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
Figure 15

Similar content being viewed by others

References

  1. P Higgs, Phys. Lett. 12, 132 (1964); Phys. Rev. Lett. 13, 506 (1964) F Englert and R Brout, Phys. Rev. Lett. 13, 321 (1964) G Guralnik, C Hagen and T Kibble, Phys. Rev. Lett. 13, 585 (1964)

    Google Scholar 

  2. J Gunion, H Haber, G Kane and S Dawson, The Higgs hunter’s guide (Reading, 1990)

  3. A Djouadi, Phys. Rep. 457, 1 (2008), arXiv:hep-ph/0503172

    Article  ADS  Google Scholar 

  4. The LEP Working Group for Higgs Searches: R Barate et al, Phys. Lett. B565, 61 (2003)

    Google Scholar 

  5. The CDF and D0 Collaborations, arXiv:1107.5518 [hep-ex]

  6. Particle Data Group: K Nakamura et al, J. Phys. G37, 075021.1 (2010)

    ADS  Google Scholar 

  7. The LEP Collaborations and the LEP electroweak Working Group, hep-ex/0412015; regularly updated results can be found at http://lepewwg.web.cern.ch/LEPEWWG/

  8. The GFITTER Collaboration: M Baak et al, arXiv:1107.0975 [hep-ph]

  9. B W Lee, C Quigg and H B Thacker, Phys. Rev. D16, 1519 (1977)

    ADS  Google Scholar 

  10. C H Llewellyn Smith, Phys. Lett. B46, 233 (1973) J S Bell, Nucl. Phys. B60, 427 (1973) J Cornwall et al, Phys. Rev. Lett. 30, 1268 (1973); Phys. Rev. D10, 1145 (1974)

  11. See M Verzocchi for the CDF and D0 Collaborations, These proceedings

  12. ATLAS Collaboration: A Nisati, These proceedings

  13. CMS Collaboration: V Sharma, These proceedings

  14. E Accomando et al, ‘Workshop on CP Studies and Non-standard Higgs Physics,’ arXiv:hep-ph/0608079 R M Godbole, Pramana – J. Phys. 67, 835 (2006)

  15. U Ellwanger, C Hugonie and A Teixeira, Phys. Rep. 496, 1 (2010) U Ellwanger, J F Gunion and C Hugonie, J. High Energy Phys. 0507, 041 (2005) A Djouadi et al, J. High Energy Phys. 0807, 002 (2008)

  16. See e.g., S F King, S Moretti and R Nevzorov, Phys. Rev. D73, 035009 (2006) J Gunion, hep-ph/0212150 A Djouadi and R M Godbole, arXiv:0901.2030 and references therein

  17. G Bhattacharyya, These proceedings, arXiv:1201.1403 [hep-ph]

  18. M Peskin, These proceedings, arXiv:1110.3805 [hep-ph]

  19. J Baglio and A Djouadi, J. High Energy Phys. 1010, 064 (2010) J Baglio, A Djouadi, S Ferrag and R M Godbole, Phys. Lett. B699, 368 (2011); Erratum, ibid B702, 105 (2011)

  20. J Baglio and A Djouadi, J. High Energy Phys. 1103, 055 (2011)

    Article  ADS  Google Scholar 

  21. M Spira, Fortschr. Phys. 46, 203 (1998), hep-ph/9510347 See Michael Spira, http://people.web.psi.ch/spira/proglist.html

    Article  MATH  Google Scholar 

  22. A D Martin, W Strirling, R Thorne and G Watt, Eur. Phys. J. C63, 189 (2009)

    Article  ADS  Google Scholar 

  23. J Ellis, M K Gaillard and D V Nanopoulos, Nucl. Phys. B106, 292 (1976) H Georgi, S Glashow, M Machacek and D Nanopoulos, Phys. Rev. Lett. 40, 692 (1978)

  24. A Djouadi, M Spira and P M Zerwas, Phys. Lett. B264, 440 (1991) S Dawson, Nucl. Phys. B359, 283 (1991)

  25. M Spira, A Djouadi, D Graudenz and P M Zerwas, Phys. Lett. B318, 347 (1993) D Graudenz, M Spira and P M Zerwas, Phys. Rev. Lett. 70, 1372 (1993)

  26. M Spira, A Djouadi, D Graudenz and P M Zerwas, Nucl. Phys. B453, 17 (1995)

    Article  ADS  Google Scholar 

  27. R V Harlander and W Kilgore, Phys. Rev. Lett. 88, 201801 (2002) C Anastasiou and K Melnikov, Nucl. Phys. B646, 220 (2002) V Ravindran, J Smith and W L Van Neerven, Nucl. Phys. B665, 325 (2003)

  28. S Catani, D de Florian, M Grazzini and P Nason, J. High Energy Phys. 0307, 028 (2003)

    Article  ADS  Google Scholar 

  29. D de Florian and M Grazzini, Phys. Lett. B674, 291 (2009)

    ADS  Google Scholar 

  30. C Anastasiou, R Boughezal and F Pietriello, J. High Energy Phys. 0904, 003 (2009)

    Article  ADS  Google Scholar 

  31. S Moch and A Vogt, Phys. Lett. B631, 48 (2005)

    ADS  Google Scholar 

  32. V Ravindran, Nucl. Phys. B746, 58 (2006); Nucl. Phys. B752, 173 (2006) V E Laenen and L Magnea, Phys. Lett. B632, 270 (2006) V Ahrens, T Becher, M Neubert and L L Yang, Eur. Phys. J. C62, 333 (2009)

  33. R Harlander and K Ozeren, Phys. Lett. B679, 467 (2009); J. High Energy Phys. 0911, 088 (2009) A Pak, M Rogal and M Steinhauser, Phys. Lett. B679, 473 (2009); J. High Energy Phys. 1002, 025 (2010) R Harlander, H Mantler, S Marzani, K Ozeren, Eur. Phys. J. C66, 359 (2010) S Marzani et al, Nucl. Phys. B800, 127 (2008) S Marzani, R D Ball, V del Duca, S Forte and A Vicini, Nucl. Phys. B800, 127 (2008)

  34. A Djouadi and P Gambino, Phys. Rev. Lett. 73, 2528 (1994) A Djouadi, P Gambino and B A Kniehl, Nucl. Phys. B523, 17 (1998) U Aglietti, R Bonciani, G Degrassi and A Vicini, Phys. Lett. B595, 432 (2004) G Degrassi and F Maltoni, Phys. Lett. B600, 255 (2004) S Actis et al, Phys. Lett. B670, 12 (2008)

  35. S Actis, G Passarino, C Sturm and S Uccirati, Nucl. Phys. B811, 182 (2009)

    Article  ADS  Google Scholar 

  36. LHC Higgs Cross Section Working Group: S Dittmaier et al, Handbook of LHC Higgs Cross Sections: 1. Inclusive Observables, arXiv:1101.0593 [hep-ph]

  37. E Berger, C Qing-Hong, C Jackson and G Shaughnessy, Phys. Rev. D82, 053003 (2010) F Demartin, S Forte, E Mariani, J Rojo and A Vicini, Phys. Rev. D82, 014002 (2010) V Ahrens, T Becher, M Neubert and L L Yang, Phys. Lett. B698, 271 (2011) S Alekhin, J Blumlein, P Jimenez-Delgado, S Moch and E Reya, Phys. Lett. B697, 127 (2011) C Anastasiou, S Buehler, F Herzog and A Lazopoulos, J. High Energy Phys. 1112, 058 (2011) J M Campbell, R K Ellis and C Williams, J. High Energy Phys. 1110, 005 (2011) N Kauer, arXiv:1201.1667 [hep-ph] S Goria, G Passarino and D Rosco, arXiv:1121.5517 [hep-ph]

  38. S Dittmaier et al, Handbook of LHC Higgs Cross Sections: 2. Differential Distributions, arXiv:1201.3084 [hep-ph]

  39. V Ravindran, J Smith and W van Neerven, Nucl. Phys. B634, 247 (2002) C Anastasiou, K Melnikov and F Petriello, Nucl. Phys. B724, 197 (2005) S Catani and M Grazzini, Phys. Rev. Lett. 98, 222002 (2007) C Anastasiou, S Bucherer and Z Kunszt, J. High Energy Phys. 0910, 068 (2009)

  40. S L Glashow, D V Nanopoulos and A Yildiz, Phys. Rev. D18, 1724 (1978)

    ADS  Google Scholar 

  41. G Altarelli, R K Ellis and G Martinelli, Nucl. Phys. B157, 461 (1979) J Kubar-André and F Paige, Phys. Rev. D19, 221 (1979) T Han and S Willenbrock, Phys. Lett. B273, 167 (1991) J Ohnemus and W J Stirling, Phys. Rev. D47, 2722 (1993)

  42. See also, A Djouadi and M Spira, Phys. Rev. D62, 014004 (2000)

    ADS  Google Scholar 

  43. R Hamberg, W L van Neerven and T Matsuura, Nucl. Phys. B359, 343 (1991) O Brein, A Djouadi and R Harlander, Phys. Lett. B579, 149 (2004) O Brein et al, arXiv:1111.0761

  44. M L Ciccolini, S Dittmaier and M Krämer, Phys. Rev. D68, 073003 (2003)

    ADS  Google Scholar 

  45. See e.g. G Ferrera, M Grazzini and F Tramontano, Phys. Rev. Lett. 107, 152003 (2011)

    Article  ADS  Google Scholar 

  46. R N Cahn and S Dawson, Phys. Lett. B136, 196 (1984) K Hikasa, Phys. Lett. B164, 385 (1985) G Altarelli, B Mele and F Pitolli, Nucl. Phys. B287, 205 (1987)

  47. T Han, G Valencia and S Willenbrock, Phys. Rev. Lett. 69, 3274 (1992)

    Article  ADS  Google Scholar 

  48. P Bolzoni, F Maltoni, S Moch and M Zaro, Phys. Rev. Lett. 105, 011801 (2010)

    Article  ADS  Google Scholar 

  49. M Ciccolini, A Denner and S Dittmaier, Phys. Rev. D77, 013002 (2008)

    ADS  Google Scholar 

  50. T Figy, C Oleari and D Zeppenfeld. Phys. Rev. D68, 073005 (2003) K Arnold et al, Comput. Phys. Commun. 180, 1661 (2009), arXiv:1107.4038 [hep-ph]

    Google Scholar 

  51. R Raitio and W W Wada, Phys. Rev. D19, 941 (1979) Z Kunszt, Nucl. Phys. B247, 339 (1984) J Ng and P Zakarauskas, Phys. Rev. D29, 876 (1984)

  52. W Beenakker et al, Phys. Rev. Lett. 87, 201805 (2001); Nucl. Phys. B653, 151 (2003) S Dawson et al, Phys. Rev. Lett. 87, 201804 (2001); Phys. Rev. D67, 071503 (2003)

  53. CTEQ Collaboration: P M Nadolsky et al, Phys. Rev. D78, 013004 (2008) NNPDF Collaboration: R D Ball et al, Nucl. Phys. B823, 195 (2009) P Jimenez-Delgado and E Reya, Phys. Rev. D80, 114011 (2009) S Alekhin, J Blumlein, S Klein and S Moch, Phys. Rev. D81, 014032 (2010) The HERAPDF sets can be found at: www.desy.de/h1zeus/combined_results

  54. A Djouadi, J Kalinowski and M Spira, Comput. Phys. Commun. 108, 56 (1998) An update of the program with M Muhlleitner in addition appeared in hep-ph/0609292

    Article  ADS  MATH  Google Scholar 

  55. L Resnick, M K Sundaresan and P J S Watson, Phys. Rev. D8, 172 (1973) J Ellis et al in Ref. [9] B W Lee in Ref. [23] F Wilczek, Phys. Rev. Lett. 39, 1304 (1977) A I Vainshtein et al, Sov. J. Nucl. Phys. 30, 711 (1979) R Cahn, M Chanowitz and N Fleishon, Phys. Lett. 82B, 113 (1979) T Rizzo, Phys. Rev. D22, 178, 722 (1980) E Braaten and J P Leveille, Phys. Rev. D22, 715 (1980) N Sakai, Phys. Rev. D22, 2220 (1980) T Inami and T Kubota, Nucl. Phys. B179, 171 (1981) S G Gorishny, A L Kataev and S A Larin, Sov. J. Nucl. Phys. 40, 329 (1984) T Inami, T Kubota and Y Okada, Z. Phys. C18, 69 (1983) M Drees and K Hikasa, Phys. Rev. D41, 1547 (1990); Phys. Lett. B240, 455 (1990) A Djouadi, M Spira and P M Zerwas, Z. Phys. C70 427 (1996); Phys. Lett. B311, 255 (1993); B276, 350 (1992); B257, 187 (1991) A Djouadi, J Kalinowski, P Zerwas et al, Z. Phys. C70, 435 (1996); C74, 93 (1997); C57, 569 (1993); Phys. Lett. B376, 220 (1996) A Djouadi and P Gambino, Phys. Rev. D51, 218 (1995) J Illana et al, Eur. Phys. J. C1, 149 (1998) A Djouadi, Phys. Lett. B435, 101 (1998) B Kniehl, Phys. Rept. 240, 211 (1994) A Frink et al, Phys. Rev. D54, 4548 (1996) K Chetyrkin, B Kniehl and M Steinhauser, Phys. Rev. Lett. 79, 353 (1997); Phys. Lett. B408, 320 (1997) A Bredenstein et al, J. High Energy Phys. 0702, 080 (2007) S Actis et al, Nucl. Phys. B811, 182 (2009)

  56. A Denner, S Heinemeyer, I Puljak, D Rebuzzi and M Spira, Eur. Phys. J. C71, 1753 (2011)

    Article  ADS  Google Scholar 

  57. For a discussion of the main SM backgrounds, see the talks of F Petrielllo and G Zanderighi

  58. See e.g. J F Gunion et al, Phys. Rev. D34, 101 (1986) J Gunion, G Kane and J Wudka, Nucl. Phys. B299, 231 (1988) M Dittmar and H Dreiner, Phys. Rev. D55, 167 (1997)

  59. J Baglio and A Djouadi, arXiv:1103.6247 [hep-ph]

  60. C Anastasiou et al, J. High Energy Phys. 0908, 099 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  61. C F Berger et al, J. High Energy Phys. 1104, 092 (2011)

    Article  ADS  Google Scholar 

  62. V Barger et al, Phys. Rev. D44, 1426 (1991) V Barger, R Phillips and D Zeppenfeld, Phys. Lett. B346, 106 (1995) D Rainwater and D Zeppenfeld, J. High Energy Phys. 9712, 005 (1997)

  63. T Plehn, D Rainwater and D Zeppenfeld, Phys. Rev. D61, 093005 (2000) N Kauer, T Plehn, D Rainwater and D Zeppenfeld, Phys. Lett. B503, 113 (2001) N Kauer et al, Phys. Lett. B503, 113 (2001) V Büscher and K Jakobs, Int. J. Mod. Phys. A20, 2523 (2005)

  64. See e.g. R Kleiss, Z Kunszt and W J Stirling, Phys. Lett. B253, 269 (1991)

    ADS  Google Scholar 

  65. J Butterworth, A Davison, M Rubin and G Salam, Phys. Rev. Lett. 100, 242001 (2008)

    Article  ADS  Google Scholar 

  66. See e.g. J Gunion, Phys. Lett. B261, 510 (1991)

    ADS  Google Scholar 

  67. See e.g. D Froidevaux and E Richter-Was, Z. Phys. C67, 213 (1995) V Drollinger, T Muller and D Denegri, hep-ph/0111312 D Benedetti et al, J. Phys. G34, 995 (2007)

  68. A Bredenstein, A Denner, S Dittmaier and S Pozzorini, Phys. Rev. Lett. 103, 012002 (2009); J. High Energy Phys. 1003, 021 (2010) G Bevilacqua et al, Phys. Rev. Lett. 104, 162002 (2010)

  69. T Plehn, G P Salam and M Spannowsky, Phys. Rev. Lett. 104, 111801 (2010)

    Article  ADS  Google Scholar 

  70. See e.g. M Drees, R M Godbole and P Roy, Theory and phenomenology of sparticles (World Scien., 2005) H Baer and X Tata, Weak scale supersymmetry (Cambridge University Press, 2006)

  71. A Djouadi, Phys. Rep. 459, 1 (2008)

    Article  ADS  Google Scholar 

  72. M Carena and H Haber, Prog. Part. Nucl. Phys. 50, 63 (2003) S Heinemeyer, W Hollik and G Weiglein, Phys. Rep. 425, 265 (2006) B C Allanach et al , J. High Energy Phys. 0409, 044 (2004)

  73. See for instance, H E Haber, hep-ph/9505240

  74. See for instance, J F Gunion, A Stange, S Willenbrock et al, hep-ph/9602238

  75. E Boos et al, Phys. Rev. D66, 055004 (2002) E Boos et al, Phys. Lett. B578, 384 (2004)

  76. S Dittmaier, M Kramer and M Spira, Phys. Rev. D70, 074010 (2004) S Dawson, C Jackson, L Reina and D Wackeroth, Phys. Rev. D69, 074027 (2004)

    Google Scholar 

  77. D Dicus and S Willenbrock, Phys. Rev. D39, 751 (1989)

    ADS  Google Scholar 

  78. J Campbell, R K Ellis, F Maltoni and S Willenbrock, Phys. Rev. D67, 095002 (2003) F Maltoni, Z Sullivan and S Willenbrock, Phys. Rev. D67, 093005 (2003)

    Google Scholar 

  79. R Harlander and W Kilgore, Phys. Rev. D68, 013001 (2003)

    ADS  Google Scholar 

  80. M Carena, S Heinemeyer, C Wagner and G Weiglein, Eur. J. Phys. C26, 601 (2003)

    ADS  Google Scholar 

  81. ATLAS Collaboration, Technical Design Report, arXiv:0901.0512 [hep-ex]

  82. CMS Collaboration, Physics TDR, CERN/LHCC/2006-021, June 2006

  83. D Zeppenfeld, R Kinnunen, A Nikitenko and E Richter-Was, Phys. Rev. D62, 013009 (2000) M Dührssen et al, Phys. Rev. D70, 113009 (2004)

  84. R Lafaye, T Plehn, M Rauch, D Zerwas and M Duhrssen, J. High Energy Phys. 0908, 009 (2009) M Rauch, talk given at Moriond EW 2012

    Article  ADS  Google Scholar 

  85. A Djouadi, W Kilian, M Muhlleitner and P M Zerwas, Eur. Phys. J. C10, 45 (1999)

    Article  ADS  Google Scholar 

  86. U Baur, T Plehn and D L Rainwater, Phys. Rev. Lett. 89, 151801 (2002); Phys. Rev. D67, 033003 (2003); D69, 053004 (2004)

  87. ILC Collaboration: G Aarons et al, arXiv:0709.1893 LHC/ILC study group: G Weiglein et al, Phys. Rep. 426, 47 (2006) J Aguilar-Saavedra et al, hep-ph/0106315 T Abe et al, hep-ex/0106055 to 58 Abe et al, hep-ph/0109166 E Accomando, Phys. Rep. 299, 1 (1998) P M Zerwas, Acta Phys. Polon. B30, 1871 (1999) H Murayama and M Peskin, Ann. Rev. Nucl. Part. Sci. 46, 533 (1996) A Djouadi, Int. J. Mod. Phys. A10, 1 (1995)

    Google Scholar 

  88. V Barger et al, Phys. Rev. D49, 79 (1994)

    ADS  Google Scholar 

  89. S Y Choi et al, Phys. Lett. B553, 61 (2003)

    ADS  Google Scholar 

  90. V Hankele et al, Phys. Rev. D74, 095001 (2006)

    ADS  Google Scholar 

  91. T Plehn, D Rainwater and D Zeppenfeld, Phys. Rev. Lett. 88, 051801 (2002) B Zhang et al, Phys. Rev. D67, 114024 (2003) C P Buszello and P Marquard, arXiv:hep-ph/0603209 V Del Duca et al, arXiv:hep-ph/0109147 K Odagiri, J. High Energy Phys. 0303, 009 (2003)

  92. C P Buszello et al, Eur. Phys. J. C32, 209 (2004) C P Buszello, P Marquard and J J van der Bij, arXiv:hep-ph/0406181 R M Godbole et al, Pramana – J. Phys. 67, 617 (2006) R M Godbole, D J Miller and M M Muhlleitner, J. High Energy Phys. 0712, 031 (2007) A De Rujula et al, Phys. Rev. D82, 013003 (2010)

  93. W Bernreuther, M Flesch and P Haberl, Phys. Rev. D58, 114031 (1998) W Bernreuther, A Brandenburg and M Flesch, arXiv:hep-ph/9812387 W Khater and P Osland, Nucl. Phys. B661, 209 (2003) J F Gunion and X G He, Phys. Rev. Lett. 76, 4468 (1996) J Albert et al in [14] B Field, Phys. Rev. D66, 114007 (2002)

  94. V Khoze, A Martin and M Ryskin, Eur. Phys. J. C23, 311 (2002) A De Roeck et al, Eur. Phys. J. C25, 391 (2002) J Ellis, J S Lee and A Pilaftsis, Phys. Rev. D71, 075007 (2005)

  95. See e.g., S S Biswal et al, Phys. Rev. D73 (2006) 035001, arXiv:0809.0202 [hep-ph] S Dutta, K Hagiwara and Y Matsumoto, S Dutta et al, Phys. Rev. D78, 115016 (2008) P S  Bhupal Dev et al, Phys. Rev. Lett. 100, 051801 (2008)

  96. R Kinnunen, S Lehti, F Moortgat, A Nikitenko and M Spira, hep-ph/0406152

  97. See the reports ATLAS-CONF-2011-163 and CMS-PAS-HIG-11-032

  98. More than 100 papers appeared since December 13 on the implications for supersymmetry. See for instance, A Arbey et al, arXiv:1112.3028 A Djouadi et al, arXiv:1112.3299

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to ABDELHAK DJOUADI.

Rights and permissions

Reprints and permissions

About this article

Cite this article

DJOUADI, A. Higgs physics: Theory. Pramana - J Phys 79, 513–539 (2012). https://doi.org/10.1007/s12043-012-0361-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-012-0361-y

Keywords

PACS Nos

Navigation