2000 character limit reached
A new Wolfenstein-like expansion of lepton flavor mixing towards understanding its fine structure
Published 1 Mar 2024 in hep-ph and hep-ex | (2403.00559v2)
Abstract: Taking the tri-bimaximal flavor mixing pattern as a particular basis, we propose a new way to expand the $3\times 3$ unitary Pontecorvo-Maki-Nakagawa-Sakata (PMNS) lepton flavor mixing matrix $U$ in powers of the magnitude of its smallest element $\xi \equiv \left|U{}_{e 3}\right| \simeq 0.149$. Such a Wolfenstein-like parametrization of $U$ allows us to easily describe the salient features and fine structures of flavor mixing and CP violation, both in vacuum and in matter.
- Z. Z. Xing, “On the hierarchy of quark mixings,” Nuovo Cim. A 109 (1996), 115-118
- Z. z. Xing, “Flavor structures of charged fermions and massive neutrinos,” Phys. Rept. 854 (2020), 1-147 [arXiv:1909.09610 [hep-ph]].
- P. Kaus and S. Meshkov, “Neutrino mass matrix and hierarchy,” AIP Conf. Proc. 672 (2003) no.1, 117-125 [arXiv:hep-ph/0211338 [hep-ph]].
- V. Gupta, G. Sánchez-Colón, S. Rajpoot and H. C. Wang, “Lepton flavor mixing in the Wolfenstein scheme,” Phys. Rev. D 87 (2013), 073009 [arXiv:1304.1065 [hep-ph]].
- H. Fritzsch and Z. Z. Xing, “Lepton mass hierarchy and neutrino oscillations,” Phys. Lett. B 372 (1996), 265-270 [arXiv:hep-ph/9509389 [hep-ph]].
- H. Fritzsch and Z. z. Xing, “Large leptonic flavor mixing and the mass spectrum of leptons,” Phys. Lett. B 440 (1998), 313-318 [arXiv:hep-ph/9808272 [hep-ph]].
- F. Feruglio and A. Romanino, “Lepton flavor symmetries,” Rev. Mod. Phys. 93 (2021) no.1, 015007 [arXiv:1912.06028 [hep-ph]].
- S. F. King, “Unified Models of Neutrinos, Flavour and CP Violation,” Prog. Part. Nucl. Phys. 94 (2017), 217-256 [arXiv:1701.04413 [hep-ph]].
- G. J. Ding and J. W. F. Valle, “The symmetry approach to quark and lepton masses and mixing,” [arXiv:2402.16963 [hep-ph]].
- P. F. Harrison, D. H. Perkins and W. G. Scott, “Tri-bimaximal mixing and the neutrino oscillation data,” Phys. Lett. B 530 (2002), 167 [arXiv:hep-ph/0202074 [hep-ph]].
- Z. z. Xing, “Nearly tri-bimaximal neutrino mixing and CP violation,” Phys. Lett. B 533 (2002), 85-93 [arXiv:hep-ph/0204049 [hep-ph]].
- X. G. He and A. Zee, “Some simple mixing and mass matrices for neutrinos,” Phys. Lett. B 560 (2003), 87-90 [arXiv:hep-ph/0301092 [hep-ph]].
- N. Li and B. Q. Ma, “Parametrization of neutrino mixing matrix in tri-bimaximal mixing pattern,” Phys. Rev. D 71 (2005), 017302 [arXiv:hep-ph/0412126 [hep-ph]].
- S. F. King, “Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing,” Phys. Lett. B 659 (2008), 244-251 [arXiv:0710.0530 [hep-ph]].
- S. F. King, “Tri-bimaximal Neutrino Mixing and θ13subscript𝜃13\theta_{13}italic_θ start_POSTSUBSCRIPT 13 end_POSTSUBSCRIPT,” Phys. Lett. B 675 (2009), 347-351 [arXiv:0903.3199 [hep-ph]].
- S. F. King, “Tri-bimaximal-Cabibbo Mixing,” Phys. Lett. B 718 (2012), 136-142 [arXiv:1205.0506 [hep-ph]].
- Z. Liu and Y. L. Wu, “Leptonic CP Violation and Wolfenstein Parametrization for Lepton Mixing,” Phys. Lett. B 733 (2014), 226-232 [arXiv:1403.2440 [hep-ph]].
- M. C. Gonzalez-Garcia, M. Maltoni and T. Schwetz, “NuFIT: Three-Flavour Global Analyses of Neutrino Oscillation Experiments,” Universe 7 (2021) no.12, 459 [arXiv:2111.03086 [hep-ph]]; NuFit webpage, http://www.nu-fit.org.
- F. Capozzi, E. Di Valentino, E. Lisi, A. Marrone, A. Melchiorri and A. Palazzo, “Unfinished fabric of the three neutrino paradigm,” Phys. Rev. D 104 (2021) no.8, 083031 [arXiv:2107.00532 [hep-ph]].
- C. Giunti and M. Tanimoto, “Deviation of neutrino mixing from bimaximal,” Phys. Rev. D 66 (2002), 053013 [arXiv:hep-ph/0207096 [hep-ph]].
- Z. z. Xing and Z. h. Zhao, “A review of μ𝜇\muitalic_μ-τ𝜏\tauitalic_τ flavor symmetry in neutrino physics,” Rept. Prog. Phys. 79 (2016) no.7, 076201 [arXiv:1512.04207 [hep-ph]].
- Z. z. Xing, “The μ𝜇\muitalic_μ-τ𝜏\tauitalic_τ reflection symmetry of Majorana neutrinos,” Rept. Prog. Phys. 86 (2023) no.7, 076201 [arXiv:2210.11922 [hep-ph]].
- Z. z. Xing, “Can the lepton flavor mixing matrix be symmetric?,” Phys. Rev. D 65 (2002), 113010 [arXiv:hep-ph/0204050 [hep-ph]].
- P. F. Harrison and W. G. Scott, “μ𝜇\muitalic_μ-τ𝜏\tauitalic_τ reflection symmetry in lepton mixing and neutrino oscillations,” Phys. Lett. B 547 (2002), 219-228 [arXiv:hep-ph/0210197 [hep-ph]].
- C. Jarlskog, “Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of Maximal CP Nonconservation,” Phys. Rev. Lett. 55 (1985), 1039
- D. d. Wu, “The Rephasing Invariants and CP,” Phys. Rev. D 33 (1986), 860
- Z. Z. Xing and D. Zhang, “Distinguishing between the twin b𝑏bitalic_b-flavored unitarity triangles on a circular arc,” Phys. Lett. B 803 (2020), 135302 [arXiv:1911.03292 [hep-ph]].
- Z. z. Xing and J. y. Zhu, “Analytical approximations for matter effects on CP violation in the accelerator-based neutrino oscillations with E ≲less-than-or-similar-to\lesssim≲ 1 GeV,” JHEP 07 (2016), 011 [arXiv:1603.02002 [hep-ph]].
- L. Wolfenstein, “Neutrino Oscillations in Matter,” Phys. Rev. D 17 (1978), 2369-2374
- S. P. Mikheyev and A. Y. Smirnov, “Resonance Amplification of Oscillations in Matter and Spectroscopy of Solar Neutrinos,” Sov. J. Nucl. Phys. 42 (1985), 913-917
- I. Mocioiu and R. Shrock, “Matter effects on neutrino oscillations in long baseline experiments,” Phys. Rev. D 62 (2000), 053017 [arXiv:hep-ph/0002149 [hep-ph]].
- H. Minakata and H. Nunokawa, “Measuring leptonic CP violation by low-energy neutrino oscillation experiments,” Phys. Lett. B 495 (2000), 369-377 [arXiv:hep-ph/0004114 [hep-ph]].
- E. K. Akhmedov, P. Huber, M. Lindner and T. Ohlsson, “T violation in neutrino oscillations in matter,” Nucl. Phys. B 608 (2001), 394-422 [arXiv:hep-ph/0105029 [hep-ph]].
- Z. z. Xing, “Flavor mixing and CP violation of massive neutrinos,” Int. J. Mod. Phys. A 19 (2004), 1-80 [arXiv:hep-ph/0307359 [hep-ph]].
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.