Abstract
In the framework of the two right-handed neutrino seesaw model, we consider maximally-restrictive texture-zero patterns for the lepton Yukawa coupling and mass matrices, together with the existence of a remnant CP symmetry. Under this premise, we find that several textures are compatible with the most recent data coming from neutrino oscillation and neutrinoless double beta decay experiments. It is shown that, the maximum number of allowed texture zeros in the Dirac Yukawa coupling matrix is two, for an inverted neutrino mass spectrum. In contrast, for Yukawa coupling matrices with just one texture zero, both normal and inverted orderings of neutrino masses are compatible with data. In all cases, the predictions for the low-energy Dirac and Majorana CP-violating phases, and for the effective mass parameter relevant in neutrinoless double-beta decay experiments, are presented and discussed. We also comment on the impact of future experimental improvements in scrutinising texture-zero patterns with a remnant CP symmetry, within the minimal version of the seesaw mechanism considered here.
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P.F. de Salas, D.V. Forero, C.A. Ternes, M. Tortola and J.W.F. Valle, Status of neutrino oscillations 2018: 3σ hint for normal mass ordering and improved CP sensitivity, Phys. Lett. B 782 (2018) 633 [arXiv:1708.01186] [INSPIRE].
I. Esteban, M.C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler and T. Schwetz, Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity, JHEP 01 (2017) 087 [arXiv:1611.01514] [INSPIRE].
F. Capozzi, E. Lisi, A. Marrone, D. Montanino and A. Palazzo, Neutrino masses and mixings: Status of known and unknown 3ν parameters, Nucl. Phys. B 908 (2016) 218 [arXiv:1601.07777] [INSPIRE].
T2K collaboration, Search for CP-violation in Neutrino and Antineutrino Oscillations by the T2K Experiment with 2.2 × 1021 Protons on Target, Phys. Rev. Lett. 121 (2018) 171802 [arXiv:1807.07891] [INSPIRE].
NOvA collaboration, New constraints on oscillation parameters from ν e appearance and ν μ disappearance in the NOvA experiment, Phys. Rev. D 98 (2018) 032012 [arXiv:1806.00096] [INSPIRE].
S. Dell’Oro, S. Marcocci, M. Viel and F. Vissani, Neutrinoless double beta decay: 2015 review, Adv. High Energy Phys. 2016 (2016) 2162659 [arXiv:1601.07512] [INSPIRE].
J.D. Vergados, H. Ejiri and F. Šimkovic, Neutrinoless double beta decay and neutrino mass, Int. J. Mod. Phys. E 25 (2016) 1630007 [arXiv:1612.02924] [INSPIRE].
A. Giuliani, The Mid and Long Term Future of Neutrinoless Double Beta Decay, talk at XXVIII International Conference on Neutrino Physics and Astrophysics, Heidelberg, Germany, 4–9 June 2018 [https://doi.org/10.5281/zenodo.1286915].
P. Minkowski, μ → eγ at a Rate of One Out of 109 Muon Decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex Spinors and Unified Theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc. C 7902131 (1979) 95 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Masses in SU(2) × U(1) Theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
S.L. Glashow, The Future of Elementary Particle Physics, NATO Sci. Ser. B 61 (1980) 687 [INSPIRE].
R.N. Mohapatra and G. Senjanović, Neutrino Mass and Spontaneous Parity Nonconservation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
G. Ecker, W. Grimus and W. Konetschny, Quark Mass Matrices in Left-right Symmetric Gauge Theories, Nucl. Phys. B 191 (1981) 465 [INSPIRE].
G. Ecker, W. Grimus and H. Neufeld, A Standard Form for Generalized CP Transformations, J. Phys. A 20 (1987) L807 [INSPIRE].
H. Neufeld, W. Grimus and G. Ecker, Generalized CP Invariance, Neutral Flavor Conservation and the Structure of the Mixing Matrix, Int. J. Mod. Phys. A 3 (1988) 603 [INSPIRE].
W. Grimus and M.N. Rebelo, Automorphisms in gauge theories and the definition of CP and P, Phys. Rept. 281 (1997) 239 [hep-ph/9506272] [INSPIRE].
G.C. Branco, M.N. Rebelo and J.I. Silva-Marcos, CP-odd invariants in models with several Higgs doublets, Phys. Lett. B 614 (2005) 187 [hep-ph/0502118] [INSPIRE].
F. Feruglio, C. Hagedorn and R. Ziegler, Lepton Mixing Parameters from Discrete and CP Symmetries, JHEP 07 (2013) 027 [arXiv:1211.5560] [INSPIRE].
M. Holthausen, M. Lindner and M.A. Schmidt, CP and Discrete Flavour Symmetries, JHEP 04 (2013) 122 [arXiv:1211.6953] [INSPIRE].
I. Girardi, A. Meroni, S.T. Petcov and M. Spinrath, Generalised geometrical CP-violation in a T’ lepton flavour model, JHEP 02 (2014) 050 [arXiv:1312.1966] [INSPIRE].
M.-C. Chen, M. Fallbacher, K.T. Mahanthappa, M. Ratz and A. Trautner, CP Violation from Finite Groups, Nucl. Phys. B 883 (2014) 267 [arXiv:1402.0507] [INSPIRE].
S.F. King and T. Neder, Lepton mixing predictions including Majorana phases from Δ(6n 2) flavour symmetry and generalised CP, Phys. Lett. B 736 (2014) 308 [arXiv:1403.1758] [INSPIRE].
G.-J. Ding, S.F. King and T. Neder, Generalised CP and Δ(6n 2) family symmetry in semi-direct models of leptons, JHEP 12 (2014) 007 [arXiv:1409.8005] [INSPIRE].
P. Chen, C.-C. Li and G.-J. Ding, Lepton Flavor Mixing and CP Symmetry, Phys. Rev. D 91 (2015) 033003 [arXiv:1412.8352] [INSPIRE].
L.L. Everett, T. Garon and A.J. Stuart, A Bottom-Up Approach to Lepton Flavor and CP Symmetries, JHEP 04 (2015) 069 [arXiv:1501.04336] [INSPIRE].
G.C. Branco, I. de Medeiros Varzielas and S.F. King, Invariant approach to CP in family symmetry models, Phys. Rev. D 92 (2015) 036007 [arXiv:1502.03105] [INSPIRE].
P. Ballett, S. Pascoli and J. Turner, Mixing angle and phase correlations from A5 with generalized CP and their prospects for discovery, Phys. Rev. D 92 (2015) 093008 [arXiv:1503.07543] [INSPIRE].
P. Chen, C.-Y. Yao and G.-J. Ding, Neutrino Mixing from CP Symmetry, Phys. Rev. D 92 (2015) 073002 [arXiv:1507.03419] [INSPIRE].
I. Girardi, S.T. Petcov, A.J. Stuart and A.V. Titov, Leptonic Dirac CP-violation Predictions from Residual Discrete Symmetries, Nucl. Phys. B 902 (2016) 1 [arXiv:1509.02502] [INSPIRE].
P. Chen, G.-J. Ding, F. Gonzalez-Canales and J.W.F. Valle, Classifying CP transformations according to their texture zeros: theory and implications, Phys. Rev. D 94 (2016) 033002 [arXiv:1604.03510] [INSPIRE].
J.T. Penedo, S.T. Petcov and A.V. Titov, Neutrino mixing and leptonic CP-violation from S 4 flavour and generalised CP symmetries, JHEP 12 (2017) 022 [arXiv:1705.00309] [INSPIRE].
I.P. Ivanov, Radiative neutrino masses from order-4 CP symmetry, JHEP 02 (2018) 025 [arXiv:1712.02101] [INSPIRE].
R. Samanta, P. Roy and A. Ghosal, Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos, JHEP 06 (2018) 085 [arXiv:1712.06555] [INSPIRE].
P. Chen, S. Centelles Chuliá, G.-J. Ding, R. Srivastava and J.W.F. Valle, Neutrino Predictions from Generalized CP Symmetries of Charged Leptons, JHEP 07 (2018) 077 [arXiv:1802.04275] [INSPIRE].
C.-C. Li and G.-J. Ding, Implications of residual CP symmetry for leptogenesis in a model with two right-handed neutrinos, Phys. Rev. D 96 (2017) 075005 [arXiv:1701.08508] [INSPIRE].
J.A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys. B 618 (2001) 171 [hep-ph/0103065] [INSPIRE].
W. Grimus, A.S. Joshipura, L. Lavoura and M. Tanimoto, Symmetry realization of texture zeros, Eur. Phys. J. C 36 (2004) 227 [hep-ph/0405016] [INSPIRE].
A. Dighe and N. Sahu, Texture zeroes and discrete flavor symmetries in light and heavy Majorana neutrino mass matrices: a bottom-up approach, arXiv:0812.0695 [INSPIRE].
B. Adhikary, A. Ghosal and P. Roy, mu tau symmetry, tribimaximal mixing and four zero neutrino Yukawa textures, JHEP 10 (2009) 040 [arXiv:0908.2686] [INSPIRE].
S. Dev, S. Gupta and R.R. Gautam, Zero Textures of the Neutrino Mass Matrix from Cyclic Family Symmetry, Phys. Lett. B 701 (2011) 605 [arXiv:1106.3451] [INSPIRE].
R. González Felipe and H. Serôdio, Abelian realization of phenomenological two-zero neutrino textures, Nucl. Phys. B 886 (2014) 75 [arXiv:1405.4263] [INSPIRE].
L.M. Cebola, D. Emmanuel-Costa and R.G. Felipe, Confronting predictive texture zeros in lepton mass matrices with current data, Phys. Rev. D 92 (2015) 025005 [arXiv:1504.06594] [INSPIRE].
R. Samanta and A. Ghosal, Probing maximal zero textures with broken cyclic symmetry in inverse seesaw, Nucl. Phys. B 911 (2016) 846 [arXiv:1507.02582] [INSPIRE].
T. Kobayashi, T. Nomura and H. Okada, Predictive neutrino mass textures with origin of flavor symmetries, Phys. Rev. D 98 (2018) 055025 [arXiv:1805.07101] [INSPIRE].
M.H. Rahat, P. Ramond and B. Xu, Asymmetric tribimaximal texture, Phys. Rev. D 98 (2018) 055030 [arXiv:1805.10684] [INSPIRE].
N. Nath, μ − τ Reflection Symmetry and Its Explicit Breaking for Leptogenesis in a Minimal Seesaw Model, arXiv:1808.05062 [INSPIRE].
P.H. Frampton, S.L. Glashow and T. Yanagida, Cosmological sign of neutrino CP-violation, Phys. Lett. B 548 (2002) 119 [hep-ph/0208157] [INSPIRE].
A. Ibarra and G.G. Ross, Neutrino phenomenology: The Case of two right-handed neutrinos, Phys. Lett. B 591 (2004) 285 [hep-ph/0312138] [INSPIRE].
K. Harigaya, M. Ibe and T.T. Yanagida, Seesaw Mechanism with Occam’s Razor, Phys. Rev. D 86 (2012) 013002 [arXiv:1205.2198] [INSPIRE].
T. Rink and K. Schmitz, Perturbed Yukawa Textures in the Minimal Seesaw Model, JHEP 03 (2017) 158 [arXiv:1611.05857] [INSPIRE].
Y. Shimizu, K. Takagi and M. Tanimoto, Towards the minimal seesaw model via CP-violation of neutrinos, JHEP 11 (2017) 201 [arXiv:1709.02136] [INSPIRE].
D.M. Barreiros, R.G. Felipe and F.R. Joaquim, Minimal type-I seesaw model with maximally restricted texture zeros, Phys. Rev. D 97 (2018) 115016 [arXiv:1802.04563] [INSPIRE].
J. Alcaide, J. Salvado and A. Santamaria, Fitting flavour symmetries: the case of two-zero neutrino mass textures, JHEP 07 (2018) 164 [arXiv:1806.06785] [INSPIRE].
G.C. Branco, R.G. Felipe and F.R. Joaquim, Leptonic CP-violation, Rev. Mod. Phys. 84 (2012) 515 [arXiv:1111.5332] [INSPIRE].
W. Rodejohann and J.W.F. Valle, Symmetrical Parametrizations of the Lepton Mixing Matrix, Phys. Rev. D 84 (2011) 073011 [arXiv:1108.3484] [INSPIRE].
J. Heeck, Seesaw parametrization for n right-handed neutrinos, Phys. Rev. D 86 (2012) 093023 [arXiv:1207.5521] [INSPIRE].
A. Ibarra, E. Molinaro and S.T. Petcov, Low Energy Signatures of the TeV Scale See-Saw Mechanism, Phys. Rev. D 84 (2011) 013005 [arXiv:1103.6217] [INSPIRE].
CUORE collaboration, First Results from CUORE: A Search for Lepton Number Violation via 0νββ Decay of 130 Te, Phys. Rev. Lett. 120 (2018) 132501 [arXiv:1710.07988] [INSPIRE].
KamLAND-Zen collaboration, Search for double-beta decay of 136 Xe to excited states of 136 Ba with the KamLAND-Zen experiment, Nucl. Phys. A 946 (2016) 171 [arXiv:1509.03724] [INSPIRE].
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Barreiros, D.M., Felipe, R.G. & Joaquim, F.R. Combining texture zeros with a remnant CP symmetry in the minimal type-I seesaw. J. High Energ. Phys. 2019, 223 (2019). https://doi.org/10.1007/JHEP01(2019)223
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DOI: https://doi.org/10.1007/JHEP01(2019)223