Skip to main content
SpringerLink
Log in

Fair scans of the seesaw. Consequences for predictions on LFV processes

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

Abstract

We give a straightforward procedure to scan the seesaw parameter-space, using the common “R-parametrization”, in a complete way. This includes a very simple rule to incorporate the perturbativity requirement as a condition for the entries of the R-matrix. As a relevant application, we show that the somewhat propagated belief that BR(μ → e, γ) in supersymmetric seesaw models depends strongly on the value of θ 13 is an “optical effect” produced by incomplete scans, and does not hold after a careful analytical and numerical study. When the complete scan is done, BR(μ → e, γ) gets very insensitive to θ 13. This holds even if the right-handed neutrino masses are kept constant or under control (as is required for succesful leptogenesis). In most cases the values of BR(μ → e, γ) are larger than the experimental upper bound. Including (unflavoured) leptogenesis does not introduce any further dependence on θ 13, although decreases the typical value of BR(μ → e, γ).

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. M. Raidal et al., Flavour physics of leptons and dipole moments, Eur. Phys. J. C 57 (2008) 13 [arXiv:0801.1826] [SPIRES].

    Article  ADS  Google Scholar 

  2. S. Antusch, E. Arganda, M.J. Herrero and A.M. Teixeira, Impact of θ 13 on lepton flavour violating processes within SUSY seesaw, JHEP 11 (2006) 090 [hep-ph/0607263] [SPIRES].

    Article  ADS  Google Scholar 

  3. J. Hisano, T. Moroi, K. Tobe and M. Yamaguchi, Lepton-flavor violation via right-handed neutrino Yukawa couplings in supersymmetric standard model, Phys. Rev. D 53 (1996) 2442 [hep-ph/9510309] [SPIRES].

    ADS  Google Scholar 

  4. F. Borzumati and A. Masiero, Large muon and electron number violations in supergravity theories, Phys. Rev. Lett. 57 (1986) 961 [SPIRES].

    Article  ADS  Google Scholar 

  5. J. Hisano and D. Nomura, Solar and atmospheric neutrino oscillations and lepton flavor violation in supersymmetric models with the right-handed neutrinos, Phys. Rev. D 59 (1999) 116005 [hep-ph/9810479] [SPIRES].

    ADS  Google Scholar 

  6. S. Lavignac, I. Masina and C.A. Savoy, τ → μγ and μ → eγ as probes of neutrino mass models, Phys. Lett. B 520 (2001) 269 [hep-ph/0106245] [SPIRES].

    ADS  Google Scholar 

  7. S.T. Petcov and T. Shindou, Charged lepton decays l i → l j + γ, leptogenesis CP-violating parameters and Majorana phases, Phys. Rev. D 74 (2006) 073006 [hep-ph/0605151] [SPIRES].

    ADS  Google Scholar 

  8. J. Hisano, M. Nagai, P. Paradisi and Y. Shimizu, Waiting for μ → eγ from the MEG experiment, JHEP 12 (2009) 030 [arXiv:0904.2080] [SPIRES].

    Article  ADS  Google Scholar 

  9. A. Kageyama, S. Kaneko, N. Shimoyama and M. Tanimoto, Lepton flavor violating process in degenerate and inverse-hierarchical neutrino models, Phys. Lett. B 527 (2002) 206 [hep-ph/0110283] [SPIRES].

    ADS  Google Scholar 

  10. J.R. Ellis, J. Hisano, M. Raidal and Y. Shimizu, A new parametrization of the seesaw mechanism and applications in supersymmetric models, Phys. Rev. D 66 (2002) 115013 [hep-ph/0206110] [SPIRES].

    ADS  Google Scholar 

  11. J. Girrbach, S. Mertens, U. Nierste and S. Wiesenfeldt, Lepton flavour violation in the MSSM, JHEP 05 (2010) 026 [arXiv:0910.2663] [SPIRES].

    Article  ADS  Google Scholar 

  12. E. Arganda, Lepton flavour violation in supersymmetric models with seesaw mechanism, Ph.D. thesis in physics, Universidad Autónoma de Madrid, Madrid Spain (2008).

  13. J.R. Ellis and M. Raidal, Leptogenesis and the violation of lepton number and CP at low energies, Nucl. Phys. B 643 (2002) 229 [hep-ph/0206174] [SPIRES].

    Article  ADS  Google Scholar 

  14. S.T. Petcov, W. Rodejohann, T. Shindou and Y. Takanishi, The see-saw mechanism, neutrino Yukawa couplings, LFV decays l i → l j + γ and leptogenesis, Nucl. Phys. B 739 (2006) 208 [hep-ph/0510404] [SPIRES].

    Article  ADS  Google Scholar 

  15. A. de Gouvêa, W.-C. Huang and S. Shalgar, Parameterizing Majorana neutrino couplings in the Higgs sector, arXiv:1007.3664 [SPIRES].

  16. J.A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys. B 618 (2001) 171 [hep-ph/0103065] [SPIRES].

    Article  ADS  Google Scholar 

  17. S. Davidson and A. Ibarra, Determining seesaw parameters from weak scale measurements?, JHEP 09 (2001) 013 [hep-ph/0104076] [SPIRES].

    Article  ADS  Google Scholar 

  18. J.A. Casas, A. Ibarra and F. Jimenez-Alburquerque, Hints on the high-energy seesaw mechanism from the low-energy neutrino spectrum, JHEP 04 (2007) 064 [hep-ph/0612289] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  19. J.N. Esteves et al., Flavour violation at the LHC: type-Iversus type-II seesaw in minimal supergravity, JHEP 05 (2009) 003 [arXiv:0903.1408] [SPIRES].

    Article  ADS  Google Scholar 

  20. N. Haba, S. Matsumoto and K. Yoshioka, Observable seesaw and its collider signatures, Phys. Lett. B 677 (2009) 291 [arXiv:0901.4596] [SPIRES].

    ADS  Google Scholar 

  21. S. Pascoli, S.T. Petcov and C.E. Yaguna, Quasi-degenerate neutrino mass spectrum, μ → e + γ decay and leptogenesis, Phys. Lett. B 564 (2003) 241 [hep-ph/0301095] [SPIRES].

    ADS  Google Scholar 

  22. W. Buchmüller, P. Di Bari and M. Plümacher, The neutrino mass window for baryogenesis, Nucl. Phys. B 665 (2003) 445 [hep-ph/0302092] [SPIRES].

    Article  ADS  Google Scholar 

  23. F. Deppisch, H. Pas, A. Redelbach and R. Ruckl, Constraints on SUSY seesaw parameters from leptogenesis and lepton flavor violation, Phys. Rev. D 73 (2006) 033004 [hep-ph/0511062] [SPIRES].

    ADS  Google Scholar 

  24. W. Porod, SPheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at e + e − colliders, Comput. Phys. Commun. 153 (2003) 275 [hep-ph/0301101] [SPIRES].

    Article  ADS  Google Scholar 

  25. D.M. Pierce, J.A. Bagger, K.T. Matchev and R.-j. Zhang, Precision corrections in the minimal supersymmetric standard model, Nucl. Phys. B 491 (1997) 3 [hep-ph/9606211] [SPIRES].

    Article  ADS  Google Scholar 

  26. A. Masiero, S.K. Vempati and O. Vives, Massive neutrinos and flavour violation, New J. Phys. 6 (2004) 202 [hep-ph/0407325] [SPIRES].

    Article  ADS  Google Scholar 

  27. WMAP collaboration, E. Komatsu et al., Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation, Astrophys. J. Suppl. 192 (2011) 18 [arXiv:1001.4538] [SPIRES].

    Article  ADS  Google Scholar 

  28. M. Fukugita and T. Yanagida, Baryogenesis without grand unification, Phys. Lett. B 174 (1986) 45 [SPIRES].

    ADS  Google Scholar 

  29. S. Davidson, E. Nardi and Y. Nir, Leptogenesis, Phys. Rept. 466 (2008) 105 [arXiv:0802.2962] [SPIRES].

    Article  ADS  Google Scholar 

  30. V.A. Kuzmin, V.A. Rubakov and M.E. Shaposhnikov, On the anomalous electroweak baryon number nonconservation in the early universe, Phys. Lett. B 155 (1985) 36 [SPIRES].

    ADS  Google Scholar 

  31. G.F. Giudice, A. Notari, M. Raidal, A. Riotto and A. Strumia, Towards a complete theory of thermal leptogenesis in the SM and MSSM, Nucl. Phys. B 685 (2004) 89 [hep-ph/0310123] [SPIRES].

    Article  ADS  Google Scholar 

  32. A. Abada, S. Davidson, F.-X. Josse-Michaux, M. Losada and A. Riotto, Flavour issues in leptogenesis, JCA P 04 (2006) 004 [hep-ph/0601083] [SPIRES].

    ADS  Google Scholar 

  33. E. Nardi, Y. Nir, E. Roulet and J. Racker, The importance of flavor in leptogenesis, JHEP 01 (2006) 164 [hep-ph/0601084] [SPIRES].

    Article  ADS  Google Scholar 

  34. A. Abada et al., Flavour matters in leptogenesis, JHEP 09 (2006) 010 [hep-ph/0605281] [SPIRES].

    Article  ADS  Google Scholar 

  35. S. Davidson, J. Garayoa, F. Palorini and N. Rius, CP violation in the SUSY seesaw: leptogenesis and low energy, JHEP 09 (2008) 053 [arXiv:0806.2832] [SPIRES].

    Article  ADS  Google Scholar 

  36. W. Buchmüller, P. Di Bari and M. Plümacher, Leptogenesis for pedestrians, Ann. Phys. 315 (2005) 305 [hep-ph/0401240] [SPIRES].

    Article  ADS  MATH  Google Scholar 

  37. L. Covi, E. Roulet and F. Vissani, CP violating decays in leptogenesis scenarios, Phys. Lett. B 384 (1996) 169 [hep-ph/9605319] [SPIRES].

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto de Física Teórica, IFT - UAM/CSIC, Nicolas Cabrera 13, UAM, Cantoblanco, 28049, Madrid, Spain

    J. Alberto Casas, Jesús M. Moreno & Bryan Zaldívar

  2. Instituto de Física Corpuscular, IFIC-UV/CSIC, Apartado de Correos 22085, 46071, Valencia, Spain

    Nuria Rius & Roberto Ruiz de Austri

Authors
  1. J. Alberto Casas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jesús M. Moreno
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Nuria Rius
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Roberto Ruiz de Austri
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Bryan Zaldívar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jesús M. Moreno.

Additional information

ArXiv ePr int: 1010.5751

Rights and permissions

Reprints and permissions

About this article

Cite this article

Casas, J.A., Moreno, J.M., Rius, N. et al. Fair scans of the seesaw. Consequences for predictions on LFV processes. J. High Energ. Phys. 2011, 34 (2011). https://doi.org/10.1007/JHEP03(2011)034

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP03(2011)034

Keywords

Search

Navigation