Abstract
Recent data in the neutrino sector point towards a relatively large value of the reactor angle, incompatible with a vanishing θ 13 at about 3σ. In order to explain such a result, we propose a SUSY model based on a broken U(1) F flavour symmetry with charge L e − L μ − L τ for lepton doublets and arbitrary charge for the right-handed SU(2) singlet fields, where large deviations from the symmetric limit θ 12 = π/4, tan θ 23 ~ \( \mathcal{O} \)(1) and θ 13 = 0 mainly come from the charged lepton sector. We show that a description of all neutrino data is possible if the charged lepton mass matrix has a special pattern of complex matrix elements.
Similar content being viewed by others
References
T2K collaboration, K. Abe et al., Indication of electron neutrino appearance from an accelerator-produced off-axis muon neutrino beam, Phys. Rev. Lett. 107 (2011) 041801 [arXiv:1106.2822] [INSPIRE].
MINOS collaboration, L. Whitehead, Recent results from MINOS, http://theory.fnal.gov/jetp/.
G. Fogli, E. Lisi, A. Marrone, A. Palazzo and A. Rotunno, Evidence of θ 13 > 0 from global neutrino data analysis, Phys. Rev. D 84 (2011) 053007 [arXiv:1106.6028] [INSPIRE].
T. Schwetz, M. Tortola and J. Valle, Where we are on θ 13 : addendum to ’Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters’, New J. Phys. 13 (2011)109401 [arXiv:1108.1376] [INSPIRE].
R. de Adelhart Toorop, F. Bazzocchi and L. Merlo, The interplay between GUT and flavour symmetries in a Pati-Salam × S 4 model, JHEP 08 (2010) 001 [arXiv:1003.4502] [INSPIRE].
K.M. Patel, An SO(10) × S 4 model of quark-lepton complementarity, Phys. Lett. B 695 (2011)225 [arXiv:1008.5061] [INSPIRE].
D. Meloni, Bimaximal mixing and large θ 13 in a SUSY SU(5) model based on S 4, JHEP 10 (2011)010 [arXiv:1107.0221] [INSPIRE].
P. Bhupal Dev, R. Mohapatra and M. Severson, Neutrino mixings in SO(10) with type II seesaw and θ 13, Phys. Rev. D 84 (2011) 053005 [arXiv:1107.2378] [INSPIRE].
S. Antusch and V. Maurer, Large neutrino mixing angle \( \theta_{{^{{13}}}}^{{MNS}} \) and quark-lepton mass ratios in unified flavour models, Phys. Rev. D 84 (2011) 117301 [arXiv:1107.3728] [INSPIRE].
D. Marzocca, S.T. Petcov, A. Romanino and M. Spinrath, Sizeable θ 13 from the charged lepton sector in SU(5), (tri-)bimaximal neutrino mixing and Dirac CP-violation, JHEP 11 (2011)009 [arXiv:1108.0614] [INSPIRE].
N. Haba and R. Takahashi, Predictions via large θ 13 from cascades, Phys. Lett. B 702 (2011) 388 [arXiv:1106.5926] [INSPIRE].
S. Morisi, K.M. Patel and E. Peinado, Model for T2K indication with maximal atmospheric angle and tri-maximal solar angle, Phys. Rev. D 84 (2011) 053002 [arXiv:1107.0696] [INSPIRE].
H. Zhang and S. Zhou, Radiative corrections and explicit perturbations to the tetra-maximal neutrino mixing with large θ 13, Phys. Lett. B 704 (2011) 296 [arXiv:1107.1097] [INSPIRE].
R.d.A. Toorop, F. Feruglio and C. Hagedorn, Discrete flavour symmetries in light of T2K, Phys. Lett. B 703 (2011) 447 [arXiv:1107.3486] [INSPIRE].
S.F. King and C. Luhn, Trimaximal neutrino mixing from vacuum alignment in A4 and S 4 models, JHEP 09 (2011) 042 [arXiv:1107.5332] [INSPIRE].
S.-F. Ge, D.A. Dicus and W.W. Repko, Residual symmetries for neutrino mixing with a large θ 13 and nearly maximal δ D , Phys. Rev. Lett. 108 (2012) 041801 [arXiv:1108.0964] [INSPIRE].
F. Bazzocchi, Tri-permuting mixing matrix and predictions for θ 13, arXiv:1108.2497 [INSPIRE].
S. Antusch, S.F. King, C. Luhn and M. Spinrath, Trimaximal mixing with predicted θ 13 from a new type of constrained sequential dominance, Nucl. Phys. B 856 (2012) 328 [arXiv:1108.4278] [INSPIRE].
C. Froggatt and H.B. Nielsen, Hierarchy of quark masses, Cabibbo angles and CP-violation, Nucl. Phys. B 147 (1979) 277 [INSPIRE].
S. Petcov, On pseudo-Dirac neutrinos, neutrino oscillations and neutrinoless double beta decay, Phys. Lett. B 110 (1982) 245 [INSPIRE].
G. Altarelli and R. Franceschini, Neutrino masses with inverse hierarchy from broken L e -L μ -L τ : a reappraisal, JHEP 03 (2006) 047 [hep-ph/0512202] [INSPIRE].
Q. Shafi and Z. Tavartkiladze, Anomalous flavor U(1): predictive texture for bimaximal neutrino mixing, Phys. Lett. B 482 (2000) 145 [hep-ph/0002150] [INSPIRE].
L. Lavoura and W. Grimus, Seesaw model with softly broken L e -L μ -L τ , JHEP 09 (2000) 007 [hep-ph/0008020] [INSPIRE].
H.-J. He, D.A. Dicus and J.N. Ng, Minimal schemes for large neutrino mixings with inverted hierarchy, Phys. Lett. B 536 (2002) 83 [hep-ph/0203237] [INSPIRE].
W. Grimus and L. Lavoura, Softly broken lepton number L e -L μ -L τ with non-maximal solar neutrino mixing, J. Phys. G 31 (2005) 683 [hep-ph/0410279] [INSPIRE].
A. Palcu, Conserving the lepton number L e -L μ -L τ in the exact solution of a 3-3-1 gauge model with right-handed neutrinos, Mod. Phys. Lett. A 22 (2007) 939 [hep-ph/0701066] [INSPIRE].
P. Frampton, S. Petcov and W. Rodejohann, On deviations from bimaximal neutrino mixing, Nucl. Phys. B 687 (2004) 31 [hep-ph/0401206] [INSPIRE].
S. Petcov and W. Rodejohann, Flavor symmetry L e -L μ -L τ , atmospheric neutrino mixing and CP-violation in the lepton sector, Phys. Rev. D 71 (2005) 073002 [hep-ph/0409135] [INSPIRE].
G. Altarelli, F. Feruglio and C. Hagedorn, A SUSY SU(5) grand unified model of tri-bimaximal mixing from A 4, JHEP 03 (2008) 052 [arXiv:0802.0090] [INSPIRE].
G. Altarelli, F. Feruglio and I. Masina, Can neutrino mixings arise from the charged lepton sector?, Nucl. Phys. B 689 (2004) 157 [hep-ph/0402155] [INSPIRE].
P. Huber, M. Lindner and W. Winter, Synergies between the first generation JHF-SK and NuMI superbeam experiments, Nucl. Phys. B 654 (2003) 3 [hep-ph/0211300] [INSPIRE].
IDS-NF collaboration, S. Choubey et al., International design study for the neutrino factory, interim design report, arXiv:1112.2853 [INSPIRE].
F. Feruglio, C. Hagedorn, Y. Lin and L. Merlo, Lepton flavour violation in models with A 4 flavour symmetry, Nucl. Phys. B 809 (2009) 218 [arXiv:0807.3160] [INSPIRE].
F. Feruglio, C. Hagedorn, Y. Lin and L. Merlo, Lepton flavour violation in a supersymmetric model with A 4 flavour symmetry, Nucl. Phys. B 832 (2010) 251 [arXiv:0911.3874] [INSPIRE].
G. Altarelli, F. Feruglio and L. Merlo, Revisiting bimaximal neutrino mixing in a model with S 4 discrete symmetry, JHEP 05 (2009) 020 [arXiv:0903.1940] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Meloni, D. Large θ 13 from a model with broken L e -L μ -L τ symmetry. J. High Energ. Phys. 2012, 90 (2012). https://doi.org/10.1007/JHEP02(2012)090
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2012)090