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

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access
  • Access by Xinjiang University

Empirical inference on the Majorana mass of the ordinary neutrinos

Stefano Dell’Oro1,*, Simone Marcocci2, and Francesco Vissani3,4,5,†

  • 1Center for Neutrino Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USA
  • 2Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA
  • 3INFN, Laboratori Nazionali del Gran Sasso, 67100 Assergi, L’Aquila, Italy
  • 4Gran Sasso Science Institute, 67100 L’Aquila, Italy
  • 5Institute for Advanced Studies (IdEA), University of Campinas, 13083-876 São Paulo, Brazil

  • *sdelloro@vt.edu
  • †francesco.vissani@lngs.infn.it
PDF

Phys. Rev. D 100, 073003 – Published 8 October, 2019

DOI: https://doi.org/10.1103/PhysRevD.100.073003

Abstract

There is a broad theoretical consensus on the idea that ordinary neutrinos have a Majorana mass, but we have no clear prediction about its value, and direct experimental measurements of this quantity are rather challenging. In this work, we argue that the current cosmological measurements allow us to obtain precise information on the effective Majorana mass, i.e., the electronic-type mass of ordinary neutrinos. We show that the numerical results that we obtain can be accurately reproduced, and hence tested, by a straightforward analytical procedure. We then discuss the stability of the assumptions at the basis of our analysis and the implications of our findings for neutrinoless double beta decay.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (55)

  1. Y. Fukuda et al. (Super-Kamiokande Collaboration), Phys. Rev. Lett. 81, 1562 (1998).
  2. Q. R. Ahmad et al. (SNO Collaboration), Phys. Rev. Lett. 89, 011301 (2002).
  3. K. Eguchi et al. (KamLAND Collaboration), Phys. Rev. Lett. 90, 021802 (2003).
  4. D. G. Michael et al. (MINOS Collaboration), Phys. Rev. Lett. 97, 191801 (2006).
  5. N. Agafonova et al. (OPERA Collaboration), Phys. Rev. Lett. 115, 121802 (2015).
  6. P. Minkowski, Phys. Lett. 67B, 421 (1977).
  7. T. Yanagida, Proceedings of the Workshop Baryon Number of the Universe and Unified Theories, Tsukuba, Japan, edited by O. Sawada and S. Sugamoto (Tsukuba, Japan,1979), p. 95.
  8. M. Gell-Mann, P. Ramond, and R. Slansky, Proceedings of the Supergravity Workshop, Stony Brook, New York, USA, edited by (North-Holland, Amsterdam, 1979), p. 315.
  9. R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 44, 912 (1980).
  10. W. H. Furry, Phys. Rev. 56, 1184 (1939).
  11. F. Vissani, J. High Energy Phys. 11 (1998) 025.
  12. S. Dell’Oro, S. Marcocci, and F. Vissani, J. Phys. Conf. Ser. 1056, 012059 (2018).
  13. B. Bajc, A. Melfo, G. Senjanovic, and F. Vissani, Phys. Rev. D 73, 055001 (2006).
  14. S. Bertolini, L. Di Luzio, and M. Malinsky, Phys. Rev. D 80, 015013 (2009).
  15. A. S. Joshipura and K. M. Patel, Phys. Rev. D 83, 095002 (2011).
  16. M. Abud, F. Buccella, and D. Falcone, Phys. Rev. D 86, 073014 (2012).
  17. G. Altarelli and D. Meloni, J. High Energy Phys. 08 (2013) 021.
  18. A. Dueck and W. Rodejohann, J. High Energy Phys. 09 (2013) 024.
  19. T. Ohlsson and M. Pernow, J. High Energy Phys. 06 (2019) 085.
  20. K. Matsuda, Y. Koide, T. Fukuyama, and H. Nishiura, Phys. Rev. D 65, 033008 (2002).
  21. F. Capozzi, E. Lisi, A. Marrone, and A. Palazzo, Prog. Part. Nucl. Phys. 102, 48 (2018).
  22. P. F. de Salas, D. V. Forero, C. A. Ternes, M. Tortola, and J. W. F. Valle, Phys. Lett. B 782, 633 (2018).
  23. I. Esteban, M. C. Gonzalez-Garcia, A. Hernandez-Cabezudo, M. Maltoni, and T. Schwetz, J. High Energy Phys. 01 (2019) 106.
  24. P. A. R. Ade et al. (Planck Collaboration), Astron. Astrophys. 594, A13 (2016).
  25. N. Palanque-Delabrouille et al., J. Cosmol. Astropart. Phys. 11 (2015) 011.
  26. E. Di Valentino, E. Giusarma, O. Mena, A. Melchiorri, and J. Silk, Phys. Rev. D 93, 083527 (2016).
  27. X. Zhang, Phys. Rev. D 93, 083011 (2016).
  28. A. J. Cuesta, V. Niro, and L. Verde, Phys. Dark Universe 13, 77 (2016).
  29. E. Giusarma, M. Gerbino, O. Mena, S. Vagnozzi, S. Ho, and K. Freese, Phys. Rev. D 94, 083522 (2016).
  30. C. Yèche, N. Palanque-Delabrouille, J. Baur, and H. du Mas des Bourboux, J. Cosmol. Astropart. Phys. 06 (2017) 047.
  31. N. Aghanim et al. (Planck Collaboration), arXiv:1807.06209.
  32. S. Roy Choudhury and S. Hannestad, arXiv:1907.12598.
  33. S. Dell’Oro, S. Marcocci, M. Viel, and F. Vissani, J. Cosmol. Astropart. Phys. 12 (2015) 023.
  34. S. Dell’Oro, S. Marcocci, M. Viel, and F. Vissani, Adv. High Energy Phys. 2016, 2162659 (2016).
  35. F. Vissani, J. High Energy Phys. 06 (1999) 022.
  36. G. Benato, Eur. Phys. J. C 75, 563 (2015).
  37. A. Caldwell, A. Merle, O. Schulz, and M. Totzauer, Phys. Rev. D 96, 073001 (2017).
  38. M. Agostini, G. Benato, and J. Detwiler, Phys. Rev. D 96, 053001 (2017).
  39. B. Pontecorvo, Zh. Eksp. Teor. Fiz. 34, 247 (1957) [Sov. Phys. JETP 7, 172 (1958)].
  40. M. Cirelli, G. Marandella, A. Strumia, and F. Vissani, Nucl. Phys. B708, 215 (2005).
  41. M. Dentler, A. Hernández-Cabezudo, J. Kopp, P. A. N. Machado, M. Maltoni, I. Martinez-Soler, and T. Schwetz, J. High Energy Phys. 08 (2018) 010.
  42. A. Diaz, C. A. Argüelles, G. H. Collin, J. M. Conrad, and M. H. Shaevitz, arXiv:1906.00045.
  43. I. Girardi, A. Meroni, and S. T. Petcov, J. High Energy Phys. 11 (2013) 146.
  44. C. Giunti and E. M. Zavanin, J. High Energy Phys. 07 (2015) 171.
  45. G. Y. Huang and S. Zhou, Nucl. Phys. B945, 114691 (2019).
  46. A. G. Riess, S. Casertano, W. Yuan, L. M. Macri, and D. Scolnic, Astrophys. J. 876, 85 (2019).
  47. L. Verde, T. Treu, and A. G. Riess, arXiv:1907.10625.
  48. P. C. de Holanda and A. Y. Smirnov, Phys. Rev. D 83, 113011 (2011).
  49. S. I. Alvis et al. (Majorana Collaboration), Phys. Rev. C 100, 025501 (2019).
  50. M. Agostini et al. (GERDA Collaboration), Phys. Rev. Lett. 120, 132503 (2018).
  51. C. Alduino et al. (CUORE Collaboration), Phys. Rev. Lett. 120, 132501 (2018).
  52. G. Anton et al. (EXO-200 Collaboration), arXiv:1906.02723.
  53. A. Gando et al. (KamLAND-Zen Collaboration), Phys. Rev. Lett. 117, 082503 (2016).
  54. S. Dell’Oro, S. Marcocci, and F. Vissani, Phys. Rev. D 90, 033005 (2014).
  55. S. D. Biller, Phys. Rev. D 87, 071301 (2013).

Outline

Information

Phys. Rev. D 100, 073003– Published 8 October, 2019
  • Received 15 August 2019
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation