Skip to main content
SpringerLink
Log in

Non-relativistic pair annihilation of nearly mass degenerate neutralinos and charginos I. General framework and S-wave annihilation

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

Abstract

We compute analytically the tree-level annihilation rates of a collection of non- relativistic neutralino and chargino two-particle states in the general MSSM, including the previously unknown off-diagonal rates. The results are prerequisites to the calculation of the Sommerfeld enhancement in the MSSM, which will be presented in subsequent work. They can also be used to obtain concise analytic expressions for MSSM dark matter pair annihilation in the present Universe for a large number of exclusive two-particle final states.

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. Particle Data Group collaboration, J. Beringer et al., Review of Particle Physics (RPP), Phys. Rev. D 86 (2012) 010001 [INSPIRE].

    ADS  Google Scholar 

  2. G. Jungman, M. Kamionkowski and K. Griest, Supersymmetric dark matter, Phys. Rept. 267 (1996) 195 [hep-ph/9506380] [INSPIRE].

    Article  ADS  Google Scholar 

  3. G. Bertone, D. Hooper and J. Silk, Particle dark matter: evidence, candidates and constraints, Phys. Rept. 405 (2005) 279 [hep-ph/0404175] [INSPIRE].

    Article  ADS  Google Scholar 

  4. P. Gondolo et al., DarkSUSY: Computing supersymmetric dark matter properties numerically, JCAP 07 (2004) 008 [astro-ph/0406204] [INSPIRE].

    Article  ADS  Google Scholar 

  5. G. Bélanger et al., Indirect search for dark matter with MicrOMEGAs2.4, Comput. Phys. Commun. 182 (2011) 842 [arXiv:1004.1092] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  6. B. Herrmann and M. Klasen, SUSY-QCD Corrections to Dark Matter Annihilation in the Higgs Funnel, Phys. Rev. D 76 (2007) 117704 [arXiv:0709.0043] [INSPIRE].

    ADS  Google Scholar 

  7. B. Herrmann, M. Klasen and K. Kovarik, Neutralino Annihilation into Massive Quarks with SUSY-QCD Corrections, Phys. Rev. D 79 (2009) 061701 [arXiv:0901.0481] [INSPIRE].

    ADS  Google Scholar 

  8. B. Herrmann, M. Klasen and K. Kovarik, SUSY-QCD effects on neutralino dark matter annihilation beyond scalar or gaugino mass unification, Phys. Rev. D 80 (2009) 085025 [arXiv:0907.0030] [INSPIRE].

    ADS  Google Scholar 

  9. F. Boudjema, G. Drieu La Rochelle and S. Kulkarni, One-loop corrections, uncertainties and approximations in neutralino annihilations: examples, Phys. Rev. D 84 (2011) 116001 [arXiv:1108.4291] [INSPIRE].

    ADS  Google Scholar 

  10. A. Chatterjee, M. Drees and S. Kulkarni, Radiative Corrections to the Neutralino Dark Matter Relic Density — an Effective Coupling Approach, Phys. Rev. D 86 (2012) 105025 [arXiv:1209.2328] [INSPIRE].

    ADS  Google Scholar 

  11. N. Baro, F. Boudjema and A. Semenov, Full one-loop corrections to the relic density in the MSSM: a few examples, Phys. Lett. B 660 (2008) 550 [arXiv:0710.1821] [INSPIRE].

    ADS  Google Scholar 

  12. N. Baro, F. Boudjema, G. Chalons and S. Hao, Relic density at one-loop with gauge boson pair production, Phys. Rev. D 81 (2010) 015005 [arXiv:0910.3293] [INSPIRE].

    ADS  Google Scholar 

  13. J. Hisano, S. Matsumoto, M.M. Nojiri and O. Saito, Non-perturbative effect on dark matter annihilation and gamma ray signature from galactic center, Phys. Rev. D 71 (2005) 063528 [hep-ph/0412403] [INSPIRE].

    ADS  Google Scholar 

  14. J. Hisano, S. Matsumoto, M. Nagai, O. Saito and M. Senami, Non-perturbative effect on thermal relic abundance of dark matter, Phys. Lett. B 646 (2007) 34 [hep-ph/0610249] [INSPIRE].

    ADS  Google Scholar 

  15. M. Cirelli, A. Strumia and M. Tamburini, Cosmology and Astrophysics of Minimal Dark Matter, Nucl. Phys. B 787 (2007) 152 [arXiv:0706.4071] [INSPIRE].

    Article  ADS  Google Scholar 

  16. N. Arkani-Hamed, D.P. Finkbeiner, T.R. Slatyer and N. Weiner, A Theory of Dark Matter, Phys. Rev. D 79 (2009) 015014 [arXiv:0810.0713] [INSPIRE].

    ADS  Google Scholar 

  17. M. Drees, J. Kim and K. Nagao, Potentially Large One-loop Corrections to WIMP Annihilation, Phys. Rev. D 81 (2010) 105004 [arXiv:0911.3795] [INSPIRE].

    ADS  Google Scholar 

  18. A. Hryczuk, R. Iengo and P. Ullio, Relic densities including Sommerfeld enhancements in the MSSM, JHEP 03 (2011) 069 [arXiv:1010.2172] [INSPIRE].

    Article  ADS  Google Scholar 

  19. A. Hryczuk, The Sommerfeld enhancement for scalar particles and application to sfermion co-annihilation regions, Phys. Lett. B 699 (2011) 271 [arXiv:1102.4295] [INSPIRE].

    ADS  Google Scholar 

  20. A. Hryczuk and R. Iengo, The one-loop and Sommerfeld electroweak corrections to the Wino dark matter annihilation, JHEP 01 (2012) 163 [Erratum ibid. 1206 (2012) 137] [arXiv:1111.2916] [INSPIRE].

    Article  ADS  Google Scholar 

  21. G.T. Bodwin, E. Braaten and G.P. Lepage, Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium, Phys. Rev. D 51 (1995) 1125 [Erratum ibid. D 55 (1997) 5853] [hep-ph/9407339] [INSPIRE].

    ADS  Google Scholar 

  22. M. Drees and M.M. Nojiri, The neutralino relic density in minimal N = 1 supergravity, Phys. Rev. D 47 (1993) 376 [hep-ph/9207234] [INSPIRE].

    ADS  Google Scholar 

  23. C. Hellmann and P. Ruiz-Femenía, in preparation.

  24. M. Beneke, C. Hellmann and P. Ruiz-Femenía, in preparation.

  25. A. Djouadi, J.-L. Kneur and G. Moultaka, SuSpect: a Fortran code for the supersymmetric and Higgs particle spectrum in the MSSM, Comput. Phys. Commun. 176 (2007) 426 [hep-ph/0211331] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  26. J. Alwall, M. Herquet, F. Maltoni, O. Mattelaer and T. Stelzer, MadGraph 5: going beyond, JHEP 06 (2011) 128 [arXiv:1106.0522] [INSPIRE].

    Article  ADS  Google Scholar 

  27. P. Gondolo and G. Gelmini, Cosmic abundances of stable particles: improved analysis, Nucl. Phys. B 360 (1991) 145 [INSPIRE].

    Article  ADS  Google Scholar 

  28. K. Griest and D. Seckel, Three exceptions in the calculation of relic abundances, Phys. Rev. D 43 (1991) 3191 [INSPIRE].

    ADS  Google Scholar 

  29. N. Baro, F. Boudjema and A. Semenov, Automatised full one-loop renormalisation of the MSSM. I. The Higgs sector, the issue of tan β and gauge invariance, Phys. Rev. D 78 (2008) 115003 [arXiv:0807.4668] [INSPIRE].

    ADS  Google Scholar 

  30. J. Vermaseren, Axodraw, Comput. Phys. Commun. 83 (1994) 45 [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  31. D. Binosi, J. Collins, C. Kaufhold and L. Theussl, JaxoDraw: a graphical user interface for drawing Feynman diagrams. Version 2.0 release notes, Comput. Phys. Commun. 180 (2009) 1709 [arXiv:0811.4113] [INSPIRE].

    Article  ADS  Google Scholar 

  32. A. Denner, H. Eck, O. Hahn and J. Kublbeck, Feynman rules for fermion number violating interactions, Nucl. Phys. B 387 (1992) 467 [INSPIRE].

    Article  ADS  Google Scholar 

  33. J. Rosiek, Complete set of Feynman rules for the MSSM: erratum, hep-ph/9511250 [INSPIRE].

Download references

Author information

Authors and Affiliations

  1. Physik Department T31, Technische Universität München, James-Franck-Straße, D-85748, Garching, Germany

    M. Beneke & C. Hellmann

  2. Institut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen University, D-52056, Aachen, Germany

    M. Beneke & C. Hellmann

  3. Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090, Wien, Austria

    P. Ruiz-Femenía

  4. Instituto de Física Corpuscular (IFIC), CSIC-Universitat de València, Apdo. Correos 22085, E-46071, Valencia, Spain

    P. Ruiz-Femenía

Authors
  1. M. Beneke
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. Hellmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. Ruiz-Femenía
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to C. Hellmann.

Additional information

ArXiv ePrint: 1210.7928v1

Rights and permissions

Reprints and permissions

About this article

Cite this article

Beneke, M., Hellmann, C. & Ruiz-Femenía, P. Non-relativistic pair annihilation of nearly mass degenerate neutralinos and charginos I. General framework and S-wave annihilation. J. High Energ. Phys. 2013, 148 (2013). https://doi.org/10.1007/JHEP03(2013)148

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP03(2013)148

Keywords

Search

Navigation