Abstract
After the successful investigation and confirmation of non zero \(\theta _{13}^{PMNS}\) by various experiments, we are standing at a square where we still encounter a number of issues, which are to be settled. In this paper, we have extended our recent work towards a precise prediction of the \(\theta _{23}^{PMNS}\) mixing angle, taking into account the neutrino mass hierarchy. We parameterize the non-trivial correlation between quark (CKM) and lepton (PMNS) mixing matrices in quark-lepton complementarity (QLC) model as \(V_{c}= U_{CKM}. \psi . U_{PMNS}\), where \(\psi \) is a diagonal phase matrix. Monte Carlo simulations are used to estimate the texture of \(V_{c}\) and compare the results with the standard Tri-Bi-Maximal (TBM) and Bi-Maximal (BM) structures of neutrino mixing matrix. We have predicted the value of \(\theta _{23}^{PMNS} \) for normal and inverted neutrino mass hierarchies. The value of \(\theta _{23}^{PMNS}\) obtained for two cases are about \(1.3\sigma \) away from each other, implying the better precision can give us a strong hint for the type of neutrino mass hierarchy.
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References
J. Beringer et al., (Particle Data Group), Phys. Rev. D 28, 010001 (2012); A. Ceccucci, Z. Ligeti, Y. Sakai, PDG (2014). http://pdg.lbl.gov/2014/reviews/
F. An et al., [Daya Bay Collaboration], Phys. Rev. Lett. 108, 171803 (2012); J. Ahn et al., [RENO Collaboration], Phys. Rev. Lett. 108, 191802 (2012); K. Abe et al., [T2K Collaboration], Phys. Rev. Lett. 107, 041801 (2011); P. Adamson et al., [MINOS Collaboration], Phys. Rev. Lett. 107, 181802 (2011); Y. Abe et al., [Double Chooz Collaboration], Phys. Rev. D 86, 052008 (2012)
H. Georgi, C. Jarlskog, Phys. Lett. B 86, 297 (1979); H. Minakata, A.Y. Smirnov, Phys. Rev. D 70, 073009 (2004); W. Rodejohann, Phys. Rev. D 69, 033005 (2004); K.A. Hochmuth, W. Rodejohann, Phys. Rev. D 75, 073001 (2007); S.K. Agarwalla, M.K. Parida, R. N. Mohapatra, G. Rajasekaran, Phys. Rev. D 75, 033007 (2007)
Z.z. Xing, Phys. Lett. B 618,141 (2005); A. Dighe, S. Goswami, P. Roy, Phys. Rev. D 73, 071301 (2006); A.Y. Smirnov, arXiv:hep-ph/0604213; P.H. Frampton, S.T. Petcov, W. Rodejohann, Nucl. Phys. B 687, 31 (2004); A. Datta, L. Everett, P. Ramond, Phys. Lett. B 620, 42 (2005); J. Harada, Europhys. Lett. 75, 248 (2006); J. Harada, Europhys. Lett. 103, 21001 (2013); M. Picariello, B.C. Chauhan, J. Pulido, E. Torrente-Lujan, Mod. Phys. Lett. A 22, 5860 (2008)
B.C. Chauhan, M. Picariello, J. Pulido, E. Torrente-Lujan, Eur. Phys. J. C 50, 573 (2007)
G.G. Ross, Grand Unified Theories (Westview Press, Reading, MA, 1985)
F. Björkeroth et al., Testing constrained sequential dominance models of neutrinos, arXiv:1412.6996 [hep-ph] (2015)
G. Sharma, B.C. Chauhan, JHEP 1607, 075 (2016)
Acknowledgements
B.C. Chauhan and all the other authors acknowledge the financial support provided by University Grants Commission(UGC), Government of India vide Grant No. UGC MRP-MAJOR-PHYS-2013-12281.
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Sharma, G., Bhardwaj, S., Chauhan, B.C., Verma, S. (2018). Quark-Lepton Complementarity Model Based Predictions for \(\theta _{23}^{PMNS}\) with Neutrino Mass Hierarchy. In: Naimuddin, M. (eds) XXII DAE High Energy Physics Symposium . Springer Proceedings in Physics, vol 203. Springer, Cham. https://doi.org/10.1007/978-3-319-73171-1_57
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DOI: https://doi.org/10.1007/978-3-319-73171-1_57
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