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Advances in High Energy Physics
Volume 2018, Article ID 2863184, 13 pages
https://doi.org/10.1155/2018/2863184
Research Article

The Texture One-Zero Neutrino Mass Matrix with Vanishing Trace

Department of Physics, National Institute of Technology Kurukshetra, Haryana 136119, India

Correspondence should be addressed to Madan Singh; moc.liamg@971nadamhgnis

Received 14 October 2017; Accepted 6 December 2017; Published 5 April 2018

Academic Editor: Andrzej Okniński

Copyright © 2018 Madan Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Linked References

  1. Y. Abe, T. Akiri, J. Dos Anjos et al., “Indication of reactor disappearance in the double chooz experiment,” Physical Review Letters, vol. 108, no. 13, 2012. View at Publisher · View at Google Scholar
  2. F. P. An, J. Z. Bai, A. B. Balantekin et al., “Observation of electron-antineutrino disappearance at daya bay,” Physical Review Letters, vol. 108, no. 17, 2012. View at Publisher · View at Google Scholar
  3. S.-B. Kim and RENO collaboration, “Observation of reactor electron antineutrinos disappearance in the RENO experiment,” Physical Review Letters, vol. 108, p. 191802, 2012. View at Publisher · View at Google Scholar
  4. P. H. Frampton, S. L. Glashow, and D. Marfatia, “Zeroes of the neutrino mass matrix,” Physics Letters B, vol. 536, no. 1-2, pp. 79–82, 2002. View at Publisher · View at Google Scholar · View at Scopus
  5. Z.-Z. Xing, “Texture zeros and majorana phases of the neutrino mass matrix,” Physics Letters B, vol. 530, no. 1–4, pp. 159–166, 2002. View at Publisher · View at Google Scholar
  6. R. Bipin, R. Desai, D. P. Roy, R. Alexander, and R. Vaucher, “Three-neutrino mass matrices with two texture zeros,” Modern Physics Letters A, vol. 18, no. 20, pp. 1355–1365, 2003. View at Publisher · View at Google Scholar
  7. A. Merle and W. Rodejohann, “Elements of the neutrino mass matrix: allowed ranges and implications of texture zeros,” Physical Review D, vol. 73, no. 7, Article ID 073012, 11 pages, 2006. View at Publisher · View at Google Scholar
  8. S. Dev, S. Kumar, S. Verma, and S. Gupta, “Phenomenological implications of a class of neutrino mass matrices,” Nuclear Physics B, vol. 784, no. 1-2, pp. 103–117, 2007. View at Publisher · View at Google Scholar
  9. S. Dev, S. Kumar, S. Verma, and S. Gupta, “Phenomenology of two-texture zero neutrino mass matrices,” Physical Review D, vol. 76, no. 1, Article ID 013002, 15 pages, 2007. View at Publisher · View at Google Scholar
  10. M. Randhawa, G. Ahuja, and M. Gupta, “Implications of Fritzsch-like lepton mass matrices,” Physics Letters B, vol. 643, no. 3-4, pp. 175–181, 2006. View at Publisher · View at Google Scholar
  11. G. Ahuja, S. Kumar, M. Randhawa, M. Gupta, and S. Dev, “Texture 4 zero Fritzsch-like lepton mass matrices,” Physical Review D, vol. 76, no. 1, Article ID 013006, 2007. View at Publisher · View at Google Scholar · View at Scopus
  12. S. Kumar, “Implications of a class of neutrino mass matrices with texture zeros for nonzero ,” Physical Review D, vol. 84, no. 7, Article ID 077301, 2011. View at Publisher · View at Google Scholar
  13. P. O. Ludl, S. Morisi, and E. Peinado, “The reactor mixing angle and CP violation with two texture zeros in the light of T2K,” Nuclear Physics B, vol. 857, no. 3, pp. 411–423, 2012. View at Publisher · View at Google Scholar
  14. H. Itoyama and N. Maru, “Flavor mixings and textures of the fermion mass matrices,” International Journal of Modern Physics A, vol. 27, no. 31, Article ID 1250159, 2012. View at Publisher · View at Google Scholar
  15. D. Meloni and G. Blankenburg, “Fine-tuning and naturalness issues in the two-zero neutrino mass textures,” Nuclear Physics B, vol. 867, no. 3, pp. 749–762, 2013. View at Publisher · View at Google Scholar
  16. W. Grimus and J. Ludl, “Two-parameter neutrino mass matrices with two texture zeros,” Journal of Physics G: Nuclear and Particle Physics, vol. 40, Article ID 125003, p. 055003, 2013. View at Publisher · View at Google Scholar
  17. S. Sharma, P. Fakay, G. Ahuja, and M. Gupta, “Majorana neutrinos and non minimal lepton mass textures,” https://arxiv.org/abs/1402.1598.
  18. P. O. Ludl and W. Grimus, “A complete survey of texture zeros in the lepton mass matrices,” Journal of High Energy Physics, vol. 2014, 2014. View at Publisher · View at Google Scholar
  19. H. Fritzsch, Z. Z. Xing, and S. Zhou, “Two-zero textures of the Majorana neutrino mass matrix and current experimental tests,” Journal of High Energy Physics, vol. 2011, no. 09, p. 083, 2011. View at Publisher · View at Google Scholar
  20. E. I. Lashin and N. Chamoun, “One-zero textures of Majorana neutrino mass matrix and current experimental tests,” Physical Review D, vol. 85, no. 11, p. 113011, 2012. View at Publisher · View at Google Scholar
  21. K. N. Deepthi, S. Gollu, and R. Mohanta, “Neutrino mixing matrices with relatively large θ13 and with texture one-zero,” The European Physical Journal C, vol. 72, no. 2, pp. 1–18, 2012. View at Publisher · View at Google Scholar · View at Scopus
  22. J. Liao, D. Marfatia, and K. Whisnant, “Seesaw mechanism with four texture zeros in the neutrino Yukawa matrix,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 87, no. 7, p. 073013, 2013. View at Publisher · View at Google Scholar
  23. J. Liao, D. Marfatia, and K. Whisnant, “One diagonal texture or cofactor zero of the neutrino mass matrix,” Physical Review D, vol. 88, no. 3, p. 033011, 2013. View at Publisher · View at Google Scholar
  24. H. Fritzsch and Z. Z. Xing, “Mass and flavor mixing schemes of quarks and leptons,” Progress in Particle and Nuclear Physics, vol. 45, no. 1, 2000, arXiv: hep-ph/9912358. View at Google Scholar
  25. Z. Z. Xing, “Texture zeros and CP-violating phases in the neutrino mass matrix,” arXiv: hep-ph/0406049.
  26. M. Singh, G. Ahuja, and M. Gupta, “Revisiting the texture zero neutrino mass matrices,” PTEP, vol. 2016, no. 8, p. 123, 2016. View at Google Scholar
  27. X. Sun and W. Liu, “Improved black hole entropy calculation without cutoff,” Modern Physics Letters A, vol. 19, no. 9, 2004. View at Publisher · View at Google Scholar
  28. G. C. Branco, R. González Felipe, F. R. Joaquim, and T. Yanagida, “Removing ambiguities in the neutrino mass matrix,” Physics Letters B, vol. 562, no. 3-4, pp. 265–272, 2003. View at Publisher · View at Google Scholar · View at Scopus
  29. Z. Z. Xing, “The majorana neutrino mass matrix with one texture zero and one vanishing eigenvalue,” Physical Review D, vol. 69, p. 013006, 2004, arXiv: hep-ph/0307007. View at Google Scholar
  30. W. Rodejohann, M. Tanimoto, and A. Watanabe, “Relating large to the ratio of neutrino mass-squared differences,” Physics Letters B, vol. 710, no. 4-5, 2012. View at Publisher · View at Google Scholar
  31. L. Lavoura, W. Rodejohann, and A. Watanabe, “Reproducing lepton mixing in a texture zero model,” Physics Letters B, vol. 726, no. 1-3, 2013. View at Publisher · View at Google Scholar
  32. R. R. Gautam, M. Singh, and M. Gupta, “Neutrino mass matrices with one texture zero and a vanishing neutrino mass,” Physical Review D, vol. 92, no. 1, Article ID 024001, p. 013006, 2015. View at Publisher · View at Google Scholar
  33. D. Black, A. H. Fariborz, S. Nasri, and J. Schechter, “Complementary ansatz for the neutrino mass matrix,” Physical Review D, vol. 62, p. 073015, 2000, arXiv: hep-ph/0004105. View at Google Scholar
  34. X. G. He and A. Zee, “Neutrino masses with "zero sum" condition: ,” Physical Review D, vol. 68, p. 037302, 2003, arXiv: hep-ph/0302201. View at Google Scholar
  35. A. Zee, “A theory of lepton number violation and neutrino Majorana masses,” Physics Letters B, vol. 93, no. 4, pp. 389–393, 1980. View at Publisher · View at Google Scholar
  36. H. A. Alhendi, E. I. Lashin, and A. A. Mudlej, “Textures with two traceless submatrices of the neutrino mass matrix,” Physical Review D, vol. 77, no. 1, p. 013009, 2008. View at Publisher · View at Google Scholar
  37. W. Rodejohann, “Neutrino mass matrices leaving no trace,” Physics Letters B, vol. 579, no. 1-2, pp. 127–139, 2004. View at Publisher · View at Google Scholar
  38. G. L. Fogli, E. Lisi, A. Marrone et al., “Evidence of from global neutrino data analysis,” Physical Review D, vol. 84, no. 5, 2011. View at Publisher · View at Google Scholar
  39. D. V. Forero, M. Tórtola, and J. W. F. Valle, “Neutrino oscillations refitted,” Physical Review D, vol. 90, no. 9, p. 093006, 2014. View at Publisher · View at Google Scholar
  40. F. T. Avignone III, S. R. Elliott, and J. Engel, “Double beta decay, Majorana neutrinos, and neutrino mass,” Reviews of Modern Physics, vol. 80, no. 2, p. 481, 2008. View at Publisher · View at Google Scholar
  41. J. J. Gomez-Cadenas, J. Martin-Albo, M. Mezzetto, F. Monrabal, and M. Sorel, “The search for neutrinoless double beta decay,” Italian Physical Science, no. 2, 2012. View at Publisher · View at Google Scholar
  42. S. M. Bilenky and C. Giunti, “Neutrinoless double-beta decay: a brief review,” Modern Physics Letters A, vol. 27, no. 13, Article ID 1230015, 2012. View at Publisher · View at Google Scholar
  43. W. Rodejohann, “Neutrino-less double beta decay and particle physics,” International Journal of Modern Physics E, vol. 20, no. 9, p. 1833, 2011. View at Publisher · View at Google Scholar
  44. C. Arnaboldi et al., “First results on neutrinoless double beta decay of 130Te with the calorimetric CUORICINO experiment,” Physics letters B, vol. 584, p. 260, 2004. View at Google Scholar
  45. C. Arnaboldi et al., “CUORE: a cryogenic underground observatory for rare events,” Nuclear Instruments and Methods in Physics Research A, vol. 518, p. 775.
  46. I. Abt et al., “A new 76ge double beta decay experiment at LNGS,” [GERDA Collaboration] hep-ex/0404039.
  47. R. Gaitskell et al., “A new evaluation of the pion weak form factors,” [Majorana Collaboration] nucl-ex/0311013.
  48. A. S. Barabash, “Average (recommended) half-life values for two neutrino double beta decay,” Czechoslovak Journal of Physics, vol. 52, p. 567, 2002. View at Google Scholar
  49. M. Danilov, R. DeVoec, A. Dolgolenkod et al., “Detection of very small neutrino masses in double-beta decay using laser tagging,” Physics Letters B, vol. 480, no. 1-2, pp. 12–18, 2000. View at Publisher · View at Google Scholar
  50. H. V. Klaapdor-Kleingrothaus, A. Dietz, G. Baudis et al., “Latest results from the HEIDELBERG-MOSCOW double beta decay experiment,” The European Physical Journal A - Hadrons and Nuclei, vol. 12, no. 2, pp. 147–154, 2001. View at Publisher · View at Google Scholar
  51. P. A. R. Ade, N. Aghanim, C. Armitage-Caplan et al., “Planck 2013 results. XVI. cosmological parameters,” Astronomy& Astrophysics: World Wide Astronomical and Astrophysical Research, vol. 571, 2014. View at Publisher · View at Google Scholar