General lepton mixing in holographic composite Higgs models

A bstractWe introduce a scenario of lepton mixing in holographic composite Higgs models based on non-abelian discrete symmetries of the form Gf = X × ZN , broken to Z2 × Z2 × ZN in the elementary sector and to $ Z_N^{{(D)}} $ in the composite sector with $ Z_N^{{(D)}} $ being the diagonal subgroup of a ZN ⊂ X and the external ZN . By choosing X = Δ(96) or Δ(384), a non-vanishing θ13 of order 0.1 is naturally obtained. We apply our considerations to a 5D model in warped space for the particular cases of X = S4, A5, Δ(96) and Δ(384) and N = 3 or 5. Lepton flavour violating processes and electric dipole moments are well below the current bounds, with the exception of μ → eγ that puts a very mild constraint on the parameter space of the model, for all presented choices of Gf.

[1]  石森 一.  Tri-bimaximal neutrino mixing , 2008 .

[2]  M. Serone,et al.  Simple and realistic composite Higgs models in flat extra dimensions , 2010, 1012.2875.

[3]  S Yamashita,et al.  New limit on the lepton-flavor-violating decay μ+→e+γ. , 2012, Physical review letters.

[4]  The Aleph Collaboration,et al.  Precision electroweak measurements on the Z resonance , 2005, hep-ex/0509008.

[5]  J. C. Mitchell,et al.  Improved search for Muon-neutrino to electron-neutrino oscillations in MINOS. , 2011, Physical review letters.

[6]  W. G. Scott,et al.  Tri-bimaximal mixing and the neutrino oscillation data , 2002 .

[7]  Tejpreet Singh Golan,et al.  Indication of electron neutrino appearance from an accelerator-produced off-axis muon neutrino beam. , 2011, Physical review letters.

[8]  E. Lisi,et al.  Evidence of $\theta_{13}$>0 from global neutrino data analysis , 2011, 1106.6028.

[9]  E. Anderson.  Hudson et al. , 1977 .

[10]  M. Serone,et al.  Dark Matter and Electroweak Symmetry Breaking in Models with Warped Extra Dimensions , 2008, 0801.1645.

[11]  Y. Hosotani,et al.  Higgs boson mass and electroweak–gravity hierarchy from dynamical gauge–Higgs unification in the warped spacetime , 2005, hep-ph/0503020.

[12]  Marco Serone,et al.  Leptons in holographic composite Higgs models with non-abelian discrete symmetries , 2011, 1106.4021.

[13]  W. Scott,et al.  Symmetries and generalisations of tri-bimaximal neutrino mixing , 2002, hep-ph/0203209.

[14]  C. Wagner,et al.  Gauge-Higgs Unification and Radiative Electroweak Symmetry Breaking in Warped Extra Dimensions , 2007, 0706.1281.

[15]  J. Valle,et al.  Three-flavour neutrino oscillation update , 2008, 0808.2016.

[16]  C. Lam.  Determining horizontal symmetry from neutrino mixing. , 2008, Physical review letters.

[17]  C. Hagedorn,et al.  Discrete flavour symmetries in light of T2K , 2011, 1107.3486.

[18]  E. Ma,et al.  Softly broken A(4) symmetry for nearly degenerate neutrino masses , 2001, hep-ph/0106291.

[19]  J. Santiago,et al.  Neutrino masses from an A4 symmetry in holographic composite Higgs models , 2010, 1001.5151.

[20]  C. Lam.  Unique horizontal symmetry of leptons , 2008, 0809.1185.

[21]  L. Everett,et al.  Icosahedral (A(5)) Family Symmetry and the Golden Ratio Prediction for Solar Neutrino Mixing , 2008, 0812.1057.

[22]  P. W. Cattaneo,et al.  New limit on the lepton-flavour violating decay $\mu^{+} \to e^{+} \gamma$ , 2011, 1107.5547.

[23]  A. Pomarol,et al.  Light custodians in natural composite Higgs models , 2006, hep-ph/0612048.

[24]  J. Valle,et al.  Where we are on θ13: addendum to ‘Global neutrino data and recent reactor fluxes: status of three-flavor oscillation parameters’ , 2011, 1108.1376.

[25]  C. Lam.  Group Theory and Dynamics of Neutrino Mixing , 2011, 1104.0055.

[26]  C. Lam.  Symmetry of lepton mixing , 2007, 0708.3665.

[27]  C. Grojean,et al.  A Model of Lepton Masses from a Warped Extra Dimension , 2008, 0806.0356.

[28]  F. Feruglio,et al.  The golden ratio prediction for the solar angle from a natural model with A5 flavour symmetry , 2011, 1101.0393.

[29]  G. Altarelli,et al.  Revisiting Bimaximal Neutrino Mixing in a Model with S(4) Discrete Symmetry , 2009, 0903.1940.

[30]  G. Altarelli,et al.  Tri-bimaximal neutrino mixing, A4 and the modular symmetry , 2005, hep-ph/0512103.

[31]  G. Lefeuvre.  Recent Results From MINOS , 2010 .

[32]  Roberto Contino,et al.  The Minimal Composite Higgs Model , 2005 .

[33]  A. Pomarol,et al.  A custodial symmetry for Zbb , 2006, hep-ph/0605341.

[34]  N. Groot,et al.  A Combination of Preliminary Electroweak Measurements and Constraints on the Standard Model The LEP Collaborations ALEPH, DELPHI, L3, OPAL, the LEP Electroweak Working Group y and the SLD Heavy Flavour Group z , 2002 .

[35]  Z. Xing.  Nearly tri bimaximal neutrino mixing and CP violation , 2002, hep-ph/0204049.

[36]  L. Everett,et al.  Golden ratio neutrino mixing and A5 flavor symmetry , 2011, 1110.1688.

[37]  E. Hinds,et al.  Improved measurement of the shape of the electron , 2011, Nature.