Correlation of normal neutrino mass ordering with upper octant of &theta;23 and third quadrant of &delta; via RGE-induced &mu;-&tau; symmetry breaking

Guo-yuan Huang; Zhi-zhong Xing; Jing-yu Zhu

doi:10.1088/1674-1137/42/12/123108

Chinese Physics C> 2018, Vol. 42> Issue(12) : 123108 DOI: 10.1088/1674-1137/42/12/123108

Correlation of normal neutrino mass ordering with upper octant of θ₂₃ and third quadrant of δ via RGE-induced μ-τ symmetry breaking

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The recent global analysis of three-flavor neutrino oscillation data indicates that the normal neutrino mass ordering is favored over the inverted one at the 3σ level, and the best-fit values of the largest neutrino mixing angle θ₂₃ and the Dirac CP-violating phase δ are located in the higher octant and third quadrant, respectively. We show that all these important issues can be naturally explained by the μ-τ reflection symmetry breaking of massive neutrinos from a superhigh energy scale down to the electroweak scale owing to the one-loop renormalization-group equations (RGEs) in the minimal supersymmetric standard model (MSSM). The complete parameter space is explored for the first time in both the Majorana and Dirac cases, by allowing the smallest neutrino mass m₁ and the MSSM parameter tanβ to vary within their reasonable regions.
- renormalization group equations ,
- - reflection symmetry ,
- lepton flavor mixing

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[1]	C. Patrignani et al (Particle Data Group), Chin. Phys. C, 40:100001(2016)
[2]	P. Minkowski, Phys. Lett. B, 67:421(1977); T. Yanagida, in Proceedings of the Workshop on Unified Theory and the Baryon Number of the Universe, edited by O. Sawada and A. Sugamoto (KEK, Tsukuba, 1979), p. 95; M. Gell-Mann, P. Ramond, and R. Slansky, in Supergravity, edited by P. van Nieuwenhuizen and D. Freedman (North Holland, Amsterdam, 1979), p. 315; S.L. Glashow, in it Quarks and Leptons, edited by M. Levy et al, (Plenum, New York, 1980), p. 707; R.N. Mohapatra and G. Senjanovic, Phys. Rev. Lett., 44:912(1980). For a brief review of other seesaw mechanisms, see:Z. Z. Xing, Prog. Theor. Phys. Suppl., 180:112(2009), arXiv:0905.3903
[3]	G. Altarelli and F. Feruglio, Rev. Mod. Phys., 82:2701(2010), arXiv:1002.0211; S. F. King, Rept. Prog. Phys., 76:056201(2013), arXiv:1301.1340; A. Aranda, C. Bonilla, S. Morisi, E. Peinado, and J. W. F. Valle, Phys. Rev. D, 89:033001(2014), arXiv:1307.3553; S. Centelles Chuli, R. Srivastava, and J. W. F. Valle, Phys. Lett. B, 773:26(2017), arXiv:1706.00210
[4]	Z. Z. Xing and Z. H. Zhao, Rept. Prog. Phys., 79:076201(2016), arXiv:1512.04207
[5]	P. H. Chankowski and Z. Pluciennik, Phys. Lett. B, 316:312(1993),[hep-ph/9306333]; K. S. Babu, C. N. Leung, and J. T. Pantaleone, Phys. Lett. B, 319:191(1993),[hep-ph/9309223]; J. A. Casas, J. R. Espinosa, A. Ibarra, and I. Navarro, Nucl. Phys. B, 573:652(2000),[hep-ph/9910420]; S. Antusch, M. Drees, J. Kersten, M. Lindner, and M. Ratz, Phys. Lett. B, 519:238(2001),[hep-ph/0108005]; P. H. Chankowski and S. Pokorski, Int. J. Mod. Phys. A, 17:575(2002),[hep-ph/0110249]; S. Antusch, J. Kersten, M. Lindner, M. Ratz, and M. A. Schmidt, JHEP, 0503:024(2005),[hep-ph/0501272]; S. Ray, Int. J. Mod. Phys. A, 25:4339(2010), arXiv:1005.1938; For a recent review with extensive references, see:T. Ohlsson and S. Zhou, Nature Commun., 5:5153(2014), arXiv:1311.3846
[6]	S. Antusch, J. Kersten, M. Lindner, and M. Ratz, Nucl. Phys. B, 674:401(2003),[hep-ph/0305273]
[7]	Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. Phys., 28:870(1962); B. Pontecorvo and Sov. Phys., JETP, 26:984(1968),[Zh. Eksp. Teor. Fiz., 53:1717(1967)]
[8]	F. Capozzi, E. Lisi, A. Marrone, and A. Palazzo, arXiv:1804.09678
[9]	P. F. de Salas, D. V. Forero, C. A. Ternes, M. Tortola, and J. W. F. Valle, arXiv:1708.01186(updated in April 2018); I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, and T. Schwetz, JHEP, 01:087(2017), arXiv:1611.01514, and NuFIT 3.2(2018), www.nu-fit.org
[10]	W. Grimus and L. Lavoura, Fortsch. Phys., 61:535(2013), arXiv:1207.1678
[11]	R. N. Mohapatra and C. C. Nishi, JHEP, 1508:092(2015), arXiv:1506.06788
[12]	P. F. Harrison and W. G. Scott, Phys. Lett. B, 547:219(2002),[hep-ph/0210197]; Z. z. Xing, H. Zhang, and S. Zhou, Phys. Lett. B, 641:189(2006),[hep-ph/0607091]; Z. z. Xing, Phys. Rev. D, 78:011301(2008), arXiv:0805.0416; B. Adhikary, A. Ghosal, and P. Roy, JHEP, 0910:040(2009), arXiv:0908.2686; T. Baba and M. Yasue, Prog. Theor. Phys., 123:659(2010), arXiv:1003.1438; Z. z. Xing and Y. L. Zhou, Phys. Lett. B, 693:584(2010), arXiv:1008.4906
[13]	H. Zhang and S. Zhou, Phys. Lett. B, 704:296(2011), arXiv:1107.1097; S. Zhou, arXiv:1205.0761[hep-ph]; Z. z. Xing, Phys. Lett. B, 716:220(2012), arXiv:1205.6532; Z.Z. Xing and S. Zhou, Phys. Lett. B, 737:196(2014), arXiv:1404.7021; R. N. Mohapatra and C. C. Nishi, JHEP, 1508:092(2015), arXiv:1506.06788; Z. z. Xing and J. y. Zhu, Chin. Phys. C, 41:123103(2017), arXiv:1707.03676; Z.H. Zhao, arXiv:1803.04603; N. Nath, arXiv:1805.05823; S. F. King and C. C. Nishi, arXiv:1807.00023[hep-ph]
[14]	S. Luo and Z. Z. Xing, Phys. Rev. D, 90:073005(2014), arXiv:1408.5005
[15]	Y. L. Zhou, arXiv:1409.8600
[16]	Z. H. Zhao, arXiv:1605.04498; Z. H. Zhao, JHEP, 1709:023(2017), arXiv:1703.04984; W. Rodejohann and X. J. Xu, Phys. Rev. D, 96:055039(2017), arXiv:1705.02027; Z. C. Liu, C. X. Yue, and Z. H. Zhao, JHEP, 1710:102(2017), arXiv:1707.05535; N. Nath, Z. z. Xing, and J. Zhang, Eur. Phys. J. C, 78:289(2018), arXiv:1801.09931; and references therein
[17]	Z. Z. Xing, D. Zhang, and J. Y. Zhu, JHEP, 1711:135(2017), arXiv:1708.09144
[18]	G. L. Fogli, E. Lisi, A. Marrone, A. Palazzo, and A. M. Rotunno, Phys. Rev. Lett., 101:141801(2008), arXiv:0806.2649
[19]	F. P. An et al (Baya Bay Collaboration), Phys. Rev. Lett., 108:171803(2012), arXiv:1203.1669
[20]	J. Ellis and S. Lola, Phys. Lett. B, 458:310(1999),[hep-ph/9904279]; H. Fritzsch and Z. Z. Xing, Prog. Part. Nucl. Phys., 45:1(2000),[hep-ph/9912358]
[21]	F. Feroz and M. P. Hobson, Mon. Not. Roy. Astron. Soc., 384:449(2008), arXiv:0704.3704; F. Feroz, M. P. Hobson, and M. Bridges, Mon. Not. Roy. Astron. Soc., 398:1601(2009), arXiv:0809.3437; F. Feroz, M. P. Hobson, E. Cameron, and A. N. Pettitt, arXiv:1306.2144
[22]	P. A. R. Ade et al (Planck Collaboration), Astron. Astrophys., 594:A13(2016), arXiv:1502.01589
[23]	See, e.g., Z. Z. Xing, H. Zhang, and S. Zhou, Phys. Rev. D, 86:013013(2012), arXiv:1112.3112; J. Elias-Miro, J. R. Espinosa, G. F. Giudice, G. Isidori, A. Riotto, and A. Strumia, Phys. Lett. B, 709:222(2012), arXiv:1112.3022
[24]	G. C. Branco, P. M. Ferreira, L. Lavoura, M. N. Rebelo, M. Sher, and J. P. Silva, Phys. Rept., 516:1(2012), arXiv:1106.0034

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Guo-yuan Huang, Zhi-zhong Xing and Jing-yu Zhu. Correlation of normal neutrino mass ordering with upper octant of θ₂₃ and third quadrant of δ via RGE-induced μ-τ symmetry breaking[J]. Chinese Physics C, 2018, 42(12): 123108. doi: 10.1088/1674-1137/42/12/123108

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Received: 2018-07-26

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Supported by the National Natural Science Foundation of China (11775231, 11775232)

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Correlation of normal neutrino mass ordering with upper octant of θ₂₃ and third quadrant of δ via RGE-induced μ-τ symmetry breaking

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Correlation of normal neutrino mass ordering with upper octant of θ₂₃ and third quadrant of δ via RGE-induced μ-τ symmetry breaking

Corresponding author: Guo-yuan Huang,

Corresponding author: Zhi-zhong Xing,

Corresponding author: Jing-yu Zhu,

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