- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Constraining mass spectra with sterile neutrinos from neutrinoless double beta decay, tritium beta decay, and cosmology

Srubabati Goswami1,2,* and Werner Rodejohann2,†

  • 1Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India
  • 2Physik-Department, Technische Universität München, James-Franck-Strasse, D-85748 Garching, Germany

  • *Email: sruba@ph.tum.de
  • †Email: werner_rodejohann@ph.tum.de
PDF

Phys. Rev. D 73, 113003 – Published 12 June, 2006

DOI: https://doi.org/10.1103/PhysRevD.73.113003

Abstract

We analyze the constraints on neutrino mass spectra with extra sterile neutrinos as implied by the LSND experiment. The various mass related observables in neutrinoless double beta decay, tritium beta decay and cosmology are discussed. Both neutrino oscillation results as well as recent cosmological neutrino mass bounds are taken into account. We find that some of the allowed mass patterns are severely restricted by the current constraints, in particular, by the cosmological constraints on the total sum of neutrino masses and by the nonmaximality of the solar neutrino mixing angle. Furthermore, we estimate the form of the four neutrino mass matrices and also comment on the situation in scenarios with two additional sterile neutrinos.

View figure in article

Article Text

References (75)

  1. C. Athanassopoulos et al. (LSND Collaboration), Phys. Rev. Lett. 75, 2650 (1995); A. Aguilar et al. (LSND Collaboration), Phys. Rev. D 64, 112007 (2001); C. Athanassopoulos et al. (LSND Collaboration), Phys. Rev. Lett. 81, 1774 (1998); LSND CollaborationPhys. Rev. C 54, 2685 (1996).
  2. J. J. Gomez-Cadenas and M. C. Gonzalez-Garcia, Z. Phys. C 71, 443 (1996); S. Goswami, Phys. Rev. D 55, 2931 (1997).
  3. S. M. Bilenky, C. Giunti, and W. Grimus, Eur. Phys. J. C 1, 247 (1998); V. D. Barger et al., Phys. Lett. B 489, 345 (2000); O. L. G. Peres and A. Y. Smirnov, Nucl. Phys. B599, 3 (2001); W. Grimus and T. Schwetz, Eur. Phys. J. C 20, 1 (2001); C. Giunti and M. Laveder, J. High Energy Phys. 02 (2001) 001.
  4. E. D. Church et al., Phys. Rev. D 66, 013001 (2002).
  5. Also see C. Giunti, Mod. Phys. Lett. A 18, 1179 (2003).
  6. K. S. Babu, R. K. Schaefer, and Q. Shafi, Phys. Rev. D 53, 606 (1996); N. Okada and O. Yasuda, Int. J. Mod. Phys. A 12, 3669 (1997); S. M. Bilenky, C. Giunti, W. Grimus, and T. Schwetz, Astropart. Phys. 11, 413 (1999).
  7. More recent analyzes are A. Pierce and H. Murayama, Phys. Lett. B 581, 218 (2004); M. Cirelli, G. Marandella, A. Strumia, and F. Vissani, Nucl. Phys. B708, 215 (2005).
  8. B. Armbruster et al. (KARMEN Collaboration), Phys. Rev. D 65, 112001 (2002).
  9. Y. Declais et al., Nucl. Phys. B434, 503 (1995).
  10. F. Dydak et al., Phys. Lett. B 134, 281 (1984).
  11. S. Fukuda et al. (Super-Kamiokande Collaboration), Phys. Rev. Lett. 85, 3999 (2000).
  12. Q. R. Ahmad et al. (SNO Collaboration), Phys. Rev. Lett. 87, 071301 (2001); SNO Collaboration 89, 011301 (2002); S. N. Ahmed et al. (SNO Collaboration), 92, 181301 (2004).
  13. M. C. Gonzalez-Garcia, M. Maltoni, and C. Pena-Garay, Phys. Rev. D 64, 093001 (2001).
  14. M. Maltoni, T. Schwetz, M. A. Tortola, and J. W. F. Valle, Nucl. Phys. B643, 321 (2002).
  15. M. Maltoni, T. Schwetz, M. A. Tortola, and J. W. F. Valle, New J. Phys. 6, 122 (2004).
  16. M. Sorel, J. M. Conrad, and M. Shaevitz, Phys. Rev. D 70, 073004 (2004).
  17. H. Murayama and T. Yanagida, Phys. Lett. B 520, 263 (2001); A. Strumia, 539, 91 (2002); G. Barenboim, L. Borissov, and J. Lykken, hep-ph/0212116; M. C. Gonzalez-Garcia, M. Maltoni, and T. Schwetz, Phys. Rev. D 68, 053007 (2003); V. Barger, D. Marfatia, and K. Whisnant, Phys. Lett. B 576, 303 (2003).
  18. G. Barenboim and N. E. Mavromatos, J. High Energy Phys. 01 (2005) 034.
  19. D. B. Kaplan, A. E. Nelson, and N. Weiner, Phys. Rev. Lett. 93, 091801 (2004).
  20. E. Ma, G. Rajasekaran, and I. Stancu, Phys. Rev. D 61, 071302 (2000); E. Ma and G. Rajasekaran, 64, 117303 (2001).
  21. K. S. Babu and S. Pakvasa, hep-ph/0204236.
  22. S. Palomares-Ruiz, S. Pascoli, and T. Schwetz, J. High Energy Phys. 09 (2005) 048.
  23. H. Päs, S. Pakvasa, and T. J. Weiler, Phys. Rev. D 72, 095017 (2005).
  24. C. Kraus et al., Eur. Phys. J. C 40, 447 (2005).
  25. A. Osipowicz et al. (KATRIN Collaboration), hep-ex/0109033; G. Drexlin (KATRIN Collaboration), Nucl. Phys. B, Proc. Suppl. 145, 263 (2005).
  26. J. Schechter and J. W. F. Valle, Phys. Rev. D 22, 2227 (1980).
  27. H. V. Klapdor-Kleingrothaus et al., Eur. Phys. J. A 12, 147 (2001).
  28. C. E. Aalseth et al. (IGEX Collaboration), Phys. Rev. D 65, 092007 (2002).
  29. Y. Shitov (NEMO Collaboration), nucl-ex/0405030.
  30. S. Capelli et al., hep-ex/0505045; C. Arnaboldi, S. Capelli et al., Phys. Rev. Lett. 95, 142501 (2005).
  31. R. Ardito et al., hep-ex/0501010.
  32. R. Gaitskell et al. (Majorana Collaboration), nucl-ex/0311013.
  33. I. Abt et al., hep-ex/0404039.
  34. M. Danilov et al., Phys. Lett. B 480, 12 (2000).
  35. H. Ejiri et al., Phys. Rev. Lett. 85, 2917 (2000).
  36. K. Zuber, Phys. Lett. B 519, 1 (2001).
  37. N. Ishihara, T. Ohama, and Y. Yamada, Nucl. Instrum. Methods Phys. Res., Sect. A 373, 325 (1996).
  38. S. Yoshida et al., Nucl. Phys. B, Proc. Suppl. 138, 214 (2005).
  39. G. Bellini et al., Eur. Phys. J. C 19, 43 (2001).
  40. C. Aalseth et al., hep-ph/0412300.
  41. H. V. Klapdor-Kleingrothaus et al., Mod. Phys. Lett. A 16, 2409 (2001); C. E. Aalseth et al., 17, 1475 (2002); H. L. Harney, hep-ph/0205293; H. V. Klapdor-Kleingrothaus, hep-ph/0205228; F. Feruglio, A. Strumia, and F. Vissani, Nucl. Phys. B637, 345 (2002); B659, 359 (2003); H. V. Klapdor-Kleingrothaus et al., Phys. Lett. B 586, 198 (2004).
  42. C. Giunti, Phys. Rev. D 61, 036002 (2000); S. M. Bilenky, C. Giunti, W. Grimus, B. Kayser, and S. T. Petcov, Phys. Lett. B 465, 193 (1999); A. Kalliomaki and J. Maalampi, 484, 64 (2000); Y. Farzan, O. L. G. Peres, and A. Y. Smirnov, Nucl. Phys. B612, 59 (2001); S. Pakvasa and P. Roy, Phys. Lett. B 535, 181 (2002).
  43. H. V. Klapdor-Kleingrothaus, H. Päs, and A. Y. Smirnov, Phys. Rev. D 63, 073005 (2001).
  44. S. M. Bilenky, S. Pascoli, and S. T. Petcov, Phys. Rev. D 64, 113003 (2001).
  45. V. Barger, J. P. Kneller, H. S. Lee, D. Marfatia, and G. Steigman, Phys. Lett. B 566, 8 (2003).
  46. R. H. Cyburt et al., Astropart. Phys. 23, 313 (2005).
  47. S. Hannestad, astro-ph/0511595.
  48. S. Hannestad and G. Raffelt, J. Cosmol. Astropart. Phys. 04 (2004) 008.
  49. S. Dodelson, A. Melchiorri, and A. Slosar, astro-ph/0511500.
  50. R. Foot and R. R. Volkas, Phys. Rev. Lett. 75, 4350 (1995).
  51. G. Gelmini, S. Palomares-Ruiz, and S. Pascoli, Phys. Rev. Lett. 93, 081302 (2004).
  52. J. F. Beacom, N. F. Bell, and S. Dodelson, Phys. Rev. Lett. 93, 121302 (2004); N. F. Bell, E. Pierpaoli, and K. Sigurdson, astro-ph/0511410.
  53. S. Hannestad, hep-ph/0602058 and references therein.
  54. M. H. Shaevitz (BooNE Collaboration), Nucl. Phys. B, Proc. Suppl. 145, 208 (2005).
  55. B. Pontecorvo, Zh. Eksp. Teor. Fiz. 33, 549 (1957); 34, 247 (1958); Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. Phys. 28, 870 (1962).
  56. S. M. Bilenky, J. Hosek, and S. T. Petcov, Phys. Lett. B 94, 495 (1980); M. Doi et al., 102, 323 (1981); J. Schechter and J. W. F. Valle, Phys. Rev. D 23, 1666 (1981).
  57. S. Goswami, talk given at XXII International Symposium on Lepton-Photon Interactions at High Energy “Lepton/Photon 05,” Uppsala, Sweden, 2005; http://lp2005.tsl.uu.se/~lp2005/LP2005/programme/index.htm; S. Choubey, hep-ph/0509217.
  58. G. L. Fogli, E. Lisi, A. Marrone, and A. Palazzo, hep-ph/0506083.
  59. M. Apollonio et al., Eur. Phys. J. C 27, 331 (2003); F. Boehm et al., Phys. Rev. D 64, 112001 (2001).
  60. M. Sorel, FERMILAB Report No. FERMILAB-THESIS-2005-07 (unpublished).
  61. F. Vissani, Nucl. Phys. B, Proc. Suppl. 100, 273 (2001); Y. Farzan and A. Y. Smirnov, Phys. Lett. B 557, 224 (2003).
  62. S. Pascoli, S. T. Petcov, and T. Schwetz, hep-ph/0505226; M. Lindner, A. Merle, and W. Rodejohann, Phys. Rev. D 73, 053005 (2006).
  63. S. Choubey and W. Rodejohann, Phys. Rev. D 72, 033016 (2005).
  64. A probably still incomplete list: J. T. Peltoniemi, D. Tommasini, and J. W. F. Valle, Phys. Lett. B 298, 383 (1993); J. T. Peltoniemi and J. W. F. Valle, Nucl. Phys. B406, 409 (1993); R. Foot and R. R. Volkas, Phys. Rev. D 52, 6595 (1995); Z. G. Berezhiani and R. N. Mohapatra, 52, 6607 (1995); E. Ma and P. Roy, 52, R4780 (1995); E. Ma, Phys. Lett. B 380, 286 (1996); E. J. Chun, A. S. Joshipura, and A. Y. Smirnov, Phys. Rev. D 54, 4654 (1996); Phys. Lett. B 357, 608 (1995); D. Suematsu, 392, 413 (1997); K. Benakli and A. Y. Smirnov, Phys. Rev. Lett. 79, 4314 (1997); E. J. Chun, C. W. Kim, and U. W. Lee, Phys. Rev. D 58, 093003 (1998); N. Arkani-Hamed and Y. Grossman, Phys. Lett. B 459, 179 (1999); S. Mohanty, D. P. Roy, and U. Sarkar, 445, 185 (1998); P. Langacker, Phys. Rev. D 58, 093017 (1998); M. Bando and K. Yoshioka, Prog. Theor. Phys. 100, 1239 (1998); G. R. Dvali and Y. Nir, J. High Energy Phys. 10 (1998) 014; C. Liu and J. H. Song, Phys. Rev. D 60, 036002 (1999); W. Grimus, R. Pfeiffer, and T. Schwetz, Eur. Phys. J. C 13, 125 (2000); Z. Chacko and R. N. Mohapatra, Phys. Rev. D 61, 053002 (2000); K. S. Babu and T. Yanagida, Phys. Lett. B 491, 148 (2000); D. O. Caldwell, R. N. Mohapatra, and S. J. Yellin, Phys. Rev. Lett. 87, 041601 (2001); F. Borzumati, K. Hamaguchi, and T. Yanagida, Phys. Lett. B 497, 259 (2001); A. Perez-Lorenzana and C. A. De S. Pires, 522, 297 (2001); B. Brahmachari, S. Choubey, and R. N. Mohapatra, 536, 94 (2002); K. L. McDonald and B. H. J. McKellar, hep-ph/0401073; G. J. Stephenson, T. Goldman, B. H. J. McKellar, and M. Garbutt, Int. J. Mod. Phys. A 20, 6373 (2005); K. S. Babu and G. Seidl, Phys. Rev. D 70, 113014 (2004); M. Frank, I. Turan, and M. Sher, 71, 113001 (2005); 71, 113002 (2005); J. Sayre, S. Wiesenfeldt, and S. Willenbrock, 72, 015001 (2005); A. de Gouvea, 72, 033005 (2005); J. Kang and T. Li, 71, 095011 (2005); A. G. Dias, C. A. de S. Pires, and P. S. Rodrigues da Silva, Phys. Lett. B 628, 85 (2005).
  65. S. Goswami and A. S. Joshipura, Phys. Rev. D 65, 073025 (2002).
  66. K. S. Babu and R. N. Mohapatra, Phys. Lett. B 522, 287 (2001).
  67. N. Gaur, A. Ghosal, E. Ma, and P. Roy, Phys. Rev. D 58, 071301 (1998); Y. Okamoto and M. Yasue, Prog. Theor. Phys. 101, 1119 (1999); P. Roy and S. K. Vempati, Phys. Rev. D 65, 073011 (2002).
  68. R. N. Mohapatra, Phys. Rev. D 64, 091301 (2001); R. N. Mohapatra, S. Nasri, and H. B. Yu, 72, 033007 (2005).
  69. R. N. Mohapatra et al., hep-ph/0510213; G. Altarelli and F. Feruglio, Phys. Rept. 320, 295 (1999); New J. Phys. 6, 106 (2004); W. Rodejohann, Phys. Rev. D 69, 033005 (2004); S. F. King, Rept. Prog. Phys. 67, 107 (2004); see also N. Haba, J. Sato, M. Tanimoto, and K. Yoshioka, Phys. Rev. D 64, 113016 (2001).
  70. A. Smirnov, Proceedings of the 9th International Conference On Astroparticle And Underground Physics (TAUP 2005), Zaragoza, Spain, 2005 (unpublished).
  71. C. S. Lam, Phys. Lett. B 507, 214 (2001); W. Grimus and L. Lavoura, J. High Energy Phys. 07 (2001) 045; E. Ma, Phys. Rev. D 66, 117301 (2002); P. F. Harrison and W. G. Scott, Phys. Lett. B 547, 219 (2002); an incomplete list of more recent studies is: Y. Koide, Phys. Rev. D 69, 093001 (2004); W. Grimus et al., Nucl. Phys. B713, 151 (2005); R. N. Mohapatra, J. High Energy Phys. 10 (2004) 027; I. Aizawa, T. Kitabayashi, and M. Yasue, Phys. Rev. D 72, 055014 (2005); C. S. Lam, 71, 093001 (2005); R. N. Mohapatra and W. Rodejohann, 72, 053001 (2005); I. Aizawa and M. Yasue, 73, 015002 (2006).
  72. S. T. Petcov, Phys. Lett. B 110, 245 (1982); an incomplete list of more recent studies is G. K. Leontaris, J. Rizos, and A. Psallidas, 597, 182 (2004); P. H. Frampton and R. N. Mohapatra, J. High Energy Phys. 01 (2005) 025; S. T. Petcov and W. Rodejohann, Phys. Rev. D 71, 073002 (2005); W. Grimus and L. Lavoura, J. Phys. G 31, 683 (2005); G. Altarelli and R. Franceschini, hep-ph/0512202.
  73. G. J. Stephenson, T. Goldman, B. H. J. McKellar, and M. Garbutt, hep-ph/0307245; K. S. Babu and G. Seidl, Phys. Lett. B 591, 127 (2004); K. L. McDonald, B. H. J. McKellar, and A. Mastrano, Phys. Rev. D 70, 053012 (2004); W. Krolikowski, Acta Phys. Pol. B 35, 1675 (2004); R. N. Mohapatra, S. Nasri, and H. B. Yu in Ref. [68]; W. Krolikowski, hep-ph/0506099.
  74. D. N. Spergel et al., astro-ph/0603449.
  75. U. Seljak, A. Slosar, and P. McDonald, astro-ph/0604335.

Outline

Information

Phys. Rev. D 73, 113003– Published 12 June, 2006
  • Received 23 January 2006

© 2006 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation