Limits on the cosmogenic neutrino flux from observational cosmology

  • Alina-Mihaela Badescu
Regular Article


In this work we approximate the quintessence —a measure of the variation of density of dark energy through cosmic time— by a second Chebyshev polynomial that fits several observational data: angular luminosity, luminosity distance, the Hubble parameter. The number density of the “cosmogenic” neutrinos that one should observe today depends on the adiabatic expansion of the Universe (thus on the quintessence) thus it will be determined in the (100 PeV; 10 EeV) energy range for different types of Universe.


  1. 1.
    IceCube Collaboration (M.G. Aartsen et al.), Science 342, 1242856 (2013)CrossRefGoogle Scholar
  2. 2.
    IceCube Collaboration (M.G. Aartsen et al.), Phys. Rev. Lett. 113, 101101 (2014)ADSCrossRefGoogle Scholar
  3. 3.
    K. Greisen, Phys. Rev. Lett. 16, 748 (1966)ADSCrossRefGoogle Scholar
  4. 4.
    T. Stanev, D. de Marco, M.A. Malkan, F.W. Stecker, Phys. Rev. D 73, 043003 (2006)ADSCrossRefGoogle Scholar
  5. 5.
    D. Allard, M. Ave, N. Busca, M.A. Malkan, A.V. Olinto, E. Parizot, F.W. Stecker, T. Yamamoto, J. Cosmol. Astropart. Phys. 09, 005 (2006)ADSCrossRefGoogle Scholar
  6. 6.
    F.C. Adams, K. Freese, G. Laughlin, G. Tarle, N. Schwadron, Astrophys. J. 491, 6 (1997)ADSCrossRefGoogle Scholar
  7. 7.
    R. Alves Batista, M. Erdmann, C. Evoli, K.-H. Kampert, D. Kuempel, G. Muller, G. Sigl, A. van Vliet, D. Walz, T. Winchen, EPJ Web of Conferences 99, 13004 (2015)CrossRefGoogle Scholar
  8. 8.
    A.G. Riess et al., Astrophys. J. 659, 98 (2007)ADSCrossRefGoogle Scholar
  9. 9.
    C. Blake, S. Brough, M. Colless, C. Contreras, W. Couch, S. Croom et al., Mon. Not. R. Astron. Soc. 425, 405 (2012)ADSCrossRefGoogle Scholar
  10. 10.
    Xiaoying Xu,Antonio J. Cuesta, Nikhil Padmanabhan, Daniel J. Eisenstein, Cameron K. McBride, Mon. Not. R. Astron. Soc. 431, 2834 (2013)ADSCrossRefGoogle Scholar
  11. 11.
    L. Samushia, B. Reid, M. White, W. Percival, A.J. Cuesta, G. Zhao et al., Mon. Not. R. Astron. Soc. 439, 3504 (2013)ADSCrossRefGoogle Scholar
  12. 12.
    A. Font-Ribera, D. Kirkby, N. Busca, J. Miralda-Escude, N.P. Ross, A. Slosar et al., J. Cosmol. Astropart. Phys. 05, 027 (2014)ADSCrossRefGoogle Scholar
  13. 13.
    M. Bonamente, M.K. Joy, S.J. LaRouque, J.E. Carlstrom, E.D. Reese, K.S. Dawson, Astrophys. J. 647, 25 (2006)ADSCrossRefGoogle Scholar
  14. 14.
    A. Gromov, Y. Baryshev, P. Teerikorpi, Astron. Astrophys. 415, 813 (2004)ADSCrossRefGoogle Scholar
  15. 15.
    A.J. Peacock, Cosmological Physics (Cambridge University Press, Cambridge, 1999)Google Scholar
  16. 16.
    A.M. Badescu, C. Horrelou, Rom. Rep. Phys. 63, 852 (2011)Google Scholar
  17. 17.
    G.O. Zhao, J.Q. Xia, H. Li, C. Tao, J.M. Virey, Z.H. Zhu, X. Zhang, Phys. Lett. B 648, 1 (2006)Google Scholar
  18. 18.
    E. Linder, A. Jerkins, Mon. Not. R. Astron. Soc. 346, 573 (2003)ADSCrossRefGoogle Scholar
  19. 19.
    A. Melchiorri, O. Mena, A. Slosar, Phys. Rev. D 76, 041303 (2007)ADSCrossRefGoogle Scholar
  20. 20.
    J.C. Mason, D.C. Handscomb, Chebyshev Polynomials (CRC Press, 2003)Google Scholar
  21. 21.
    V. Bonvin, arXiv:1607.01790 (2016)
  22. 22.
    W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes (Cambridge University Press, 1986)Google Scholar
  23. 23.
    E.A. Kazin et al., Mon. Not. R. Astron. Soc. 441, 3524 (2014)ADSCrossRefGoogle Scholar
  24. 24.
    S. Yoshida, A. Ishihara, Phys. Rev. D 85, 063002 (2012)ADSCrossRefGoogle Scholar
  25. 25.
    M. Ahlersa, L.A. Anchordoquib, M.C. Gonzalez, C. Garciaa, F. Halzend, S. Sarkar, Astropart. Phys. 34, 106 (2010)ADSCrossRefGoogle Scholar
  26. 26.
    M. De Domenico, arXiv:1305.4364 [astro-ph.IM]
  27. 27.
    S. Palomares-Ruiz, A. Vincent, O. Mena, Phys. Rev. D 91, 103008 (2015)ADSCrossRefGoogle Scholar
  28. 28.
    E. Aeikens, X. Pas, S. Pakvasa, P. Sicking, J. Cosmol. Astropart. Phys. 10, 005 (2015)ADSCrossRefGoogle Scholar
  29. 29.
    IceCube Collaboration (M.G. Aartsen et al.), Phys. Rev. Lett. 114, 171102 (2015)ADSCrossRefGoogle Scholar
  30. 30.
    E. Waxman, J. Bahcall, Phys. Rev. D 59, 023002 (1999)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.University Politehnica of BucharestBucharestRomania

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