Active Dirac neutrinos via SU(2) L doublets in 5d

  • Yukihiro Fujimoto
  • K. Hasegawa
  • Tomoaki Nagasawa
  • Kenji Nishiwaki
  • Makoto Sakamoto
  • Kentaro Tatsumi
Open Access
Regular Article - Theoretical Physics

Abstract

We propose a new mechanism to generate minuscule active neutrino masses in a five-dimensional (5d) spacetime of an interval without introducing SU(2) L singlet neutrinos. Under asymmetric boundary conditions on the two end points, a bulk mass for a 5d fermion allows a Dirac particle with a tiny mass eigenvalue. Implementing this mechanism, which provides us a new tool for building neutrino mass models, to the standard model gauge structure is possible when all the gauge bosons and the Higgs boson are localized on one of the branes.

Keywords

Phenomenology of Field Theories in Higher Dimensions 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

References

  1. [1]
    Daya Bay collaboration, F.P. An et al., Observation of electron-antineutrino disappearance at Daya Bay, Phys. Rev. Lett. 108 (2012) 171803 [arXiv:1203.1669] [INSPIRE].
  2. [2]
    RENO collaboration, J.K. Ahn et al., Observation of reactor electron antineutrino disappearance in the RENO experiment, Phys. Rev. Lett. 108 (2012) 191802 [arXiv:1204.0626] [INSPIRE].
  3. [3]
    MINOS collaboration, P. Adamson et al., Measurement of neutrino and antineutrino oscillations using beam and atmospheric data in MINOS, Phys. Rev. Lett. 110 (2013) 251801 [arXiv:1304.6335] [INSPIRE].
  4. [4]
    T2K collaboration, K. Abe et al., Observation of electron neutrino appearance in a muon neutrino beam, Phys. Rev. Lett. 112 (2014) 061802 [arXiv:1311.4750] [INSPIRE].
  5. [5]
    Double CHOOZ collaboration, Y. Abe et al., Background-independent measurement of θ 13 in double CHOOZ, Phys. Lett. B 735 (2014) 51 [arXiv:1401.5981] [INSPIRE].
  6. [6]
    Z. Maki, M. Nakagawa and S. Sakata, Remarks on the unified model of elementary particles, Prog. Theor. Phys. 28 (1962) 870 [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  7. [7]
    B. Pontecorvo, Neutrino experiments and the problem of conservation of leptonic charge, Sov. Phys. JETP 26 (1968) 984 [INSPIRE].ADSGoogle Scholar
  8. [8]
    D.V. Forero, M. Tortola and J.W.F. Valle, Global status of neutrino oscillation parameters after Neutrino-2012, Phys. Rev. D 86 (2012) 073012 [arXiv:1205.4018] [INSPIRE].ADSGoogle Scholar
  9. [9]
    G.L. Fogli, E. Lisi, A. Marrone, D. Montanino, A. Palazzo and A.M. Rotunno, Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP-violation searches, Phys. Rev. D 86 (2012) 013012 [arXiv:1205.5254] [INSPIRE].ADSGoogle Scholar
  10. [10]
    M.C. Gonzalez-Garcia, M. Maltoni, J. Salvado and T. Schwetz, Global fit to three neutrino mixing: critical look at present precision, JHEP 12 (2012) 123 [arXiv:1209.3023] [INSPIRE].ADSCrossRefGoogle Scholar
  11. [11]
    F. Capozzi, G.L. Fogli, E. Lisi, A. Marrone, D. Montanino and A. Palazzo, Status of three-neutrino oscillation parameters, circa 2013, Phys. Rev. D 89 (2014) 093018 [arXiv:1312.2878] [INSPIRE].ADSGoogle Scholar
  12. [12]
    M.C. Gonzalez-Garcia, M. Maltoni and T. Schwetz, Updated fit to three neutrino mixing: status of leptonic CP-violation, JHEP 11 (2014) 052 [arXiv:1409.5439] [INSPIRE].ADSCrossRefGoogle Scholar
  13. [13]
    J. Bergstrom, M.C. Gonzalez-Garcia, M. Maltoni and T. Schwetz, Bayesian global analysis of neutrino oscillation data, JHEP 09 (2015) 200 [arXiv:1507.04366] [INSPIRE].ADSCrossRefGoogle Scholar
  14. [14]
    M.C. Gonzalez-Garcia, M. Maltoni and T. Schwetz, Global analyses of neutrino oscillation experiments, Nucl. Phys. B 908 (2016) 199 [arXiv:1512.06856] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  15. [15]
    Planck collaboration, P.A.R. Ade et al., Planck 2013 results. XVI. Cosmological parameters, Astron. Astrophys. 571 (2014) A16 [arXiv:1303.5076] [INSPIRE].
  16. [16]
    P. Minkowski, μeγ at a rate of one out of 109 muon decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
  17. [17]
    T. Yanagida, Horizontal symmetry and masses of neutrinos, Conf. Proc. C7902131 (1979) 95.Google Scholar
  18. [18]
    M. Gell-Mann, P. Ramond and R. Slansky, Complex spinors and unified theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].Google Scholar
  19. [19]
    R.N. Mohapatra and G. Senjanović, Neutrino mass and spontaneous parity violation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].ADSCrossRefGoogle Scholar
  20. [20]
    T.P. Cheng and L.-F. Li, Neutrino masses, mixings and oscillations in SU(2) × U(1) models of electroweak interactions, Phys. Rev. D 22 (1980) 2860 [INSPIRE].ADSGoogle Scholar
  21. [21]
    J. Schechter and J.W.F. Valle, Neutrino masses in SU(2) × U(1) theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].ADSGoogle Scholar
  22. [22]
    J. Schechter and J.W.F. Valle, Neutrino decay and spontaneous violation of lepton number, Phys. Rev. D 25 (1982) 774 [INSPIRE].ADSGoogle Scholar
  23. [23]
    A. Zee, A theory of lepton number violation, neutrino Majorana mass and oscillation, Phys. Lett. B 93 (1980) 389 [Erratum ibid. B 95 (1980) 461] [INSPIRE].
  24. [24]
    R.N. Mohapatra and P.B. Pal, Massive neutrinos in physics and astrophysics, second edition, lecture Notes in Physicsvolume 60, World Scientific, Singapore (1998).Google Scholar
  25. [25]
    M. Fukugita and T. Yanagida, Physics of neutrinos and applications to astrophysics, Springer, Germany (2003).Google Scholar
  26. [26]
    E. Ma, Neutrino theory: some recent developments, in the proceedings of the eeting of the Division of the American Physical Society (DPF 2009), July 26-31, Detroit, U.S.A. (2009), arXiv:0908.1770 [INSPIRE].
  27. [27]
    G. Altarelli, Status of neutrino mass and mixing, Int. J. Mod. Phys. A 29 (2014) 1444002 [arXiv:1404.3859] [INSPIRE].ADSCrossRefGoogle Scholar
  28. [28]
    A. Zee, Quantum numbers of Majorana neutrino masses, Nucl. Phys. B 264 (1986) 99 [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  29. [29]
    K.S. Babu, Model of ‘calculable’ Majorana neutrino masses, Phys. Lett. B 203 (1988) 132 [INSPIRE].ADSCrossRefGoogle Scholar
  30. [30]
    L.M. Krauss, S. Nasri and M. Trodden, A model for neutrino masses and dark matter, Phys. Rev. D 67 (2003) 085002 [hep-ph/0210389] [INSPIRE].
  31. [31]
    E. Ma, Verifiable radiative seesaw mechanism of neutrino mass and dark matter, Phys. Rev. D 73 (2006) 077301 [hep-ph/0601225] [INSPIRE].
  32. [32]
    M. Aoki, S. Kanemura and O. Seto, Neutrino mass, dark matter and baryon asymmetry via TeV-scale physics without fine-tuning, Phys. Rev. Lett. 102 (2009) 051805 [arXiv:0807.0361] [INSPIRE].ADSCrossRefGoogle Scholar
  33. [33]
    M. Gustafsson, J.M. No and M.A. Rivera, Predictive model for radiatively induced neutrino masses and mixings with dark matter, Phys. Rev. Lett. 110 (2013) 211802 [arXiv:1212.4806] [INSPIRE].ADSCrossRefGoogle Scholar
  34. [34]
    H. Hatanaka, K. Nishiwaki, H. Okada and Y. Orikasa, A three-loop neutrino model with global U(1) symmetry, Nucl. Phys. B 894 (2015) 268 [arXiv:1412.8664] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  35. [35]
    K. Nishiwaki, H. Okada and Y. Orikasa, Three loop neutrino model with isolated k ±±, Phys. Rev. D 92 (2015) 093013 [arXiv:1507.02412] [INSPIRE].ADSGoogle Scholar
  36. [36]
    W. Chao, Neutrino catalyzed diphoton excess, arXiv:1512.08484 [INSPIRE].
  37. [37]
    S. Kanemura, K. Nishiwaki, H. Okada, Y. Orikasa, S.C. Park and R. Watanabe, LHC 750 GeV diphoton excess in a radiative seesaw model, arXiv:1512.09048 [INSPIRE].
  38. [38]
    T. Nomura and H. Okada, Four-loop neutrino model inspired by diphoton excess at 750 GeV, Phys. Lett. B 755 (2016) 306 [arXiv:1601.00386] [INSPIRE].ADSCrossRefGoogle Scholar
  39. [39]
    J.-H. Yu, Hidden gauged U(1) model: unifying scotogenic neutrino and flavor dark matter, Phys. Rev. D 93 (2016) 113007 [arXiv:1601.02609] [INSPIRE].ADSGoogle Scholar
  40. [40]
    R. Ding, Z.-L. Han, Y. Liao and X.-D. Ma, Interpretation of 750 GeV diphoton excess at LHC in singlet extension of color-octet neutrino mass model, Eur. Phys. J. C 76 (2016) 204 [arXiv:1601.02714] [INSPIRE].ADSCrossRefGoogle Scholar
  41. [41]
    T. Nomura and H. Okada, Four-loop radiative seesaw model with 750 GeV diphoton resonance, arXiv:1601.04516 [INSPIRE].
  42. [42]
    H. Okada and K. Yagyu, Renormalizable model for neutrino mass, dark matter, muon g − 2 and 750 GeV diphoton excess, Phys. Lett. B 756 (2016) 337 [arXiv:1601.05038] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  43. [43]
    H.V. Klapdor-Kleingrothaus et al., Latest results from the Heidelberg-Moscow double beta decay experiment, Eur. Phys. J. A 12 (2001) 147 [hep-ph/0103062] [INSPIRE].
  44. [44]
    H.V. Klapdor-Kleingrothaus, A. Dietz, H.L. Harney and I.V. Krivosheina, Evidence for neutrinoless double beta decay, Mod. Phys. Lett. A 16 (2001) 2409 [hep-ph/0201231] [INSPIRE].
  45. [45]
    Particle Data Group collaboration, K.A. Olive et al., Review of particle physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
  46. [46]
    N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315] [INSPIRE].
  47. [47]
    I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, New dimensions at a millimeter to a Fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398] [INSPIRE].
  48. [48]
    M. Gogberashvili, Hierarchy problem in the shell universe model, Int. J. Mod. Phys. D 11 (2002) 1635 [hep-ph/9812296] [INSPIRE].
  49. [49]
    L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
  50. [50]
    N. Arkani-Hamed, S. Dimopoulos, G.R. Dvali and J. March-Russell, Neutrino masses from large extra dimensions, Phys. Rev. D 65 (2002) 024032 [hep-ph/9811448] [INSPIRE].
  51. [51]
    N. Arkani-Hamed and M. Schmaltz, Hierarchies without symmetries from extra dimensions, Phys. Rev. D 61 (2000) 033005 [hep-ph/9903417] [INSPIRE].
  52. [52]
    G.R. Dvali and A.Yu. Smirnov, Probing large extra dimensions with neutrinos, Nucl. Phys. B 563 (1999) 63 [hep-ph/9904211] [INSPIRE].
  53. [53]
    K. Yoshioka, On fermion mass hierarchy with extra dimensions, Mod. Phys. Lett. A 15 (2000) 29 [hep-ph/9904433] [INSPIRE].
  54. [54]
    R.N. Mohapatra, S. Nandi and A. Perez-Lorenzana, Neutrino masses and oscillations in models with large extra dimensions, Phys. Lett. B 466 (1999) 115 [hep-ph/9907520] [INSPIRE].
  55. [55]
    Y. Grossman and M. Neubert, Neutrino masses and mixings in nonfactorizable geometry, Phys. Lett. B 474 (2000) 361 [hep-ph/9912408] [INSPIRE].
  56. [56]
    T. Gherghetta and A. Pomarol, Bulk fields and supersymmetry in a slice of AdS, Nucl. Phys. B 586 (2000) 141 [hep-ph/0003129] [INSPIRE].
  57. [57]
    S.J. Huber and Q. Shafi, Fermion masses, mixings and proton decay in a Randall-Sundrum model, Phys. Lett. B 498 (2001) 256 [hep-ph/0010195] [INSPIRE].
  58. [58]
    G. Moreau, Realistic neutrino masses from multi-brane extensions of the Randall-Sundrum model?, Eur. Phys. J. C 40 (2005) 539 [hep-ph/0407177] [INSPIRE].
  59. [59]
    G. Moreau and J.I. Silva-Marcos, Neutrinos in warped extra dimensions, JHEP 01 (2006) 048 [hep-ph/0507145] [INSPIRE].
  60. [60]
    M. Frank, C. Hamzaoui, N. Pourtolami and M. Toharia, Unified flavor symmetry from warped dimensions, Phys. Lett. B 742 (2015) 178 [arXiv:1406.2331] [INSPIRE].ADSCrossRefGoogle Scholar
  61. [61]
    M. Frank, C. Hamzaoui, N. Pourtolami and M. Toharia, Fermion masses and mixing in general warped extra dimensional models, Phys. Rev. D 91 (2015) 116001 [arXiv:1504.02780] [INSPIRE].ADSGoogle Scholar
  62. [62]
    G.R. Dvali and M.A. Shifman, Families as neighbors in extra dimension, Phys. Lett. B 475 (2000) 295 [hep-ph/0001072] [INSPIRE].
  63. [63]
    M.E. Shaposhnikov and P. Tinyakov, Extra dimensions as an alternative to Higgs mechanism?, Phys. Lett. B 515 (2001) 442 [hep-th/0102161] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  64. [64]
    A. Neronov, Fermion masses and quantum numbers from extra dimensions, Phys. Rev. D 65 (2002) 044004 [gr-qc/0106092] [INSPIRE].
  65. [65]
    D.E. Kaplan and T.M.P. Tait, New tools for fermion masses from extra dimensions, JHEP 11 (2001) 051 [hep-ph/0110126] [INSPIRE].
  66. [66]
    M.V. Libanov and S.V. Troitsky, Three fermionic generations on a topological defect in extra dimensions, Nucl. Phys. B 599 (2001) 319 [hep-ph/0011095] [INSPIRE].
  67. [67]
    J.M. Frere, M.V. Libanov and S.V. Troitsky, Three generations on a local vortex in extra dimensions, Phys. Lett. B 512 (2001) 169 [hep-ph/0012306] [INSPIRE].
  68. [68]
    J.M. Frere, M.V. Libanov and S.V. Troitsky, Neutrino masses with a single generation in the bulk, JHEP 11 (2001) 025 [hep-ph/0110045] [INSPIRE].
  69. [69]
    J.M. Frere, G. Moreau and E. Nezri, Neutrino mass patterns within the seesaw model from multilocalization along extra dimensions, Phys. Rev. D 69 (2004) 033003 [hep-ph/0309218] [INSPIRE].
  70. [70]
    D. Cremades, L.E. Ibáñez and F. Marchesano, Computing Yukawa couplings from magnetized extra dimensions, JHEP 05 (2004) 079 [hep-th/0404229] [INSPIRE].ADSCrossRefGoogle Scholar
  71. [71]
    T. Nagasawa and M. Sakamoto, Higgsless gauge symmetry breaking with a large mass hierarchy, Prog. Theor. Phys. 112 (2004) 629 [hep-ph/0406024] [INSPIRE].
  72. [72]
    S.L. Parameswaran, S. Randjbar-Daemi and A. Salvio, Gauge fields, fermions and mass gaps in 6D brane worlds, Nucl. Phys. B 767 (2007) 54 [hep-th/0608074] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  73. [73]
    A. Abada, P. Dey and G. Moreau, Neutrinos in flat extra dimension: towards a realistic scenario, JHEP 09 (2007) 006 [hep-ph/0611200] [INSPIRE].
  74. [74]
    M. Gogberashvili, P. Midodashvili and D. Singleton, Fermion generations from ‘apple-shaped’ extra dimensions, JHEP 08 (2007) 033 [arXiv:0706.0676] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  75. [75]
    S.C. Park and J. Shu, Split universal extra dimensions and dark matter, Phys. Rev. D 79 (2009) 091702 [arXiv:0901.0720] [INSPIRE].ADSGoogle Scholar
  76. [76]
    A. Kusenko, F. Takahashi and T.T. Yanagida, Dark matter from split seesaw, Phys. Lett. B 693 (2010) 144 [arXiv:1006.1731] [INSPIRE].ADSCrossRefGoogle Scholar
  77. [77]
    C. Csáki, J. Heinonen, J. Hubisz, S.C. Park and J. Shu, 5D UED: flat and flavorless, JHEP 01 (2011) 089 [arXiv:1007.0025] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  78. [78]
    Y. Fujimoto, T. Nagasawa, S. Ohya and M. Sakamoto, Phase structure of gauge theories on an interval, Prog. Theor. Phys. 126 (2011) 841 [arXiv:1108.1976] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  79. [79]
    D.B. Kaplan and S. Sun, Spacetime as a topological insulator: mechanism for the origin of the fermion generations, Phys. Rev. Lett. 108 (2012) 181807 [arXiv:1112.0302] [INSPIRE].ADSCrossRefGoogle Scholar
  80. [80]
    Y. Fujimoto, T. Nagasawa, K. Nishiwaki and M. Sakamoto, Quark mass hierarchy and mixing via geometry of extra dimension with point interactions, PTEP 2013 (2013) 023B07 [arXiv:1209.5150] [INSPIRE].
  81. [81]
    Y. Fujimoto, K. Nishiwaki and M. Sakamoto, CP phase from twisted Higgs vacuum expectation value in extra dimension, Phys. Rev. D 88 (2013) 115007 [arXiv:1301.7253] [INSPIRE].ADSGoogle Scholar
  82. [82]
    Y. Fujimoto, T. Kobayashi, T. Miura, K. Nishiwaki and M. Sakamoto, Shifted orbifold models with magnetic flux, Phys. Rev. D 87 (2013) 086001 [arXiv:1302.5768] [INSPIRE].ADSGoogle Scholar
  83. [83]
    R. Takahashi, Separate seesaw and its applications to dark matter and baryogenesis, PTEP 2013 (2013) 063B04 [arXiv:1303.0108] [INSPIRE].
  84. [84]
    T.-H. Abe, Y. Fujimoto, T. Kobayashi, T. Miura, K. Nishiwaki and M. Sakamoto, Z N twisted orbifold models with magnetic flux, JHEP 01 (2014) 065 [arXiv:1309.4925] [INSPIRE].ADSCrossRefGoogle Scholar
  85. [85]
    C. Cai and H.-H. Zhang, Majorana neutrinos with point interactions, Phys. Rev. D 93 (2016) 036003 [arXiv:1503.08805] [INSPIRE].ADSGoogle Scholar
  86. [86]
    Y. Fujimoto, K. Nishiwaki, M. Sakamoto and R. Takahashi, Realization of lepton masses and mixing angles from point interactions in an extra dimension, JHEP 10 (2014) 191 [arXiv:1405.5872] [INSPIRE].ADSCrossRefGoogle Scholar
  87. [87]
    T.-h. Abe, Y. Fujimoto, T. Kobayashi, T. Miura, K. Nishiwaki and M. Sakamoto, Operator analysis of physical states on magnetized T 2 /Z N orbifolds, Nucl. Phys. B 890 (2014) 442 [arXiv:1409.5421] [INSPIRE].ADSMathSciNetMATHGoogle Scholar
  88. [88]
    T.-h. Abe et al., Classification of three-generation models on magnetized orbifolds, Nucl. Phys. B 894 (2015) 374 [arXiv:1501.02787] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  89. [89]
    ALEPH collaboration, R. Barate et al., Measurement of the Z resonance parameters at LEP, Eur. Phys. J. C 14 (2000) 1 [INSPIRE].
  90. [90]
    L3 collaboration, M. Acciarri et al., Measurements of cross-sections and forward backward asymmetries at the Z resonance and determination of electroweak parameters, Eur. Phys. J. C 16 (2000) 1 [hep-ex/0002046] [INSPIRE].
  91. [91]
    DELPHI collaboration, P. Abreu et al., Cross-sections and leptonic forward backward asymmetries from the Z0 running of LEP, Eur. Phys. J. C 16 (2000) 371 [INSPIRE].
  92. [92]
    OPAL collaboration, G. Abbiendi et al., Precise determination of the Z resonance parameters at LEP: ‘zedometry’, Eur. Phys. J. C 19 (2001) 587 [hep-ex/0012018] [INSPIRE].
  93. [93]
    Line Shape Sub-Group of the LEP Electroweak Working Group, DELPHI, LEP, ALEPH, OPAL, L3 collaboration, Combination procedure for the precise determination of Z boson parameters from results of the LEP experiments, hep-ex/0101027 [INSPIRE].
  94. [94]
    SLD Heavy Flavor Group, DELPHI, ALEPH, OPAL, LEP Electroweak Working Group, L3 collaboration, A combination of preliminary electroweak measurements and constraints on the standard model, hep-ex/0212036 [INSPIRE].
  95. [95]
    C.S. Lim, T. Nagasawa, M. Sakamoto and H. Sonoda, Supersymmetry in gauge theories with extra dimensions, Phys. Rev. D 72 (2005) 064006 [hep-th/0502022] [INSPIRE].ADSMathSciNetGoogle Scholar
  96. [96]
    C.S. Lim, T. Nagasawa, S. Ohya, K. Sakamoto and M. Sakamoto, Supersymmetry in 5D gravity, Phys. Rev. D 77 (2008) 045020 [arXiv:0710.0170] [INSPIRE].ADSMathSciNetGoogle Scholar
  97. [97]
    C.S. Lim, T. Nagasawa, S. Ohya, K. Sakamoto and M. Sakamoto, Gauge-fixing and residual symmetries in gauge/gravity theories with extra dimensions, Phys. Rev. D 77 (2008) 065009 [arXiv:0801.0845] [INSPIRE].ADSMathSciNetGoogle Scholar
  98. [98]
    T. Nagasawa, S. Ohya, K. Sakamoto, M. Sakamoto and K. Sekiya, Hierarchy of QM SUSYs on a bounded domain, J. Phys. A 42 (2009) 265203 [arXiv:0812.4659] [INSPIRE].ADSMathSciNetMATHGoogle Scholar
  99. [99]
    C. Csáki, C. Grojean, H. Murayama, L. Pilo and J. Terning, Gauge theories on an interval: unitarity without a Higgs, Phys. Rev. D 69 (2004) 055006 [hep-ph/0305237] [INSPIRE].
  100. [100]
    C. Csáki, C. Grojean, J. Hubisz, Y. Shirman and J. Terning, Fermions on an interval: quark and lepton masses without a Higgs, Phys. Rev. D 70 (2004) 015012 [hep-ph/0310355] [INSPIRE].
  101. [101]
    C. Csáki, J. Hubisz and P. Meade, TASI lectures on electroweak symmetry breaking from extra dimensions, in the procedings of the Theoretical Advanced Study Institute in elementary particle physics (TASI 2004), June 6-July 2, Boulder, U.S.A. (2005), hep-ph/0510275 [INSPIRE].
  102. [102]
    A. Donini, A scalar field coupled to a brane in \( {\mathrm{\mathcal{M}}}_4\times {\mathcal{S}}_1 \) . Part I: Kaluza-Klein spectrum and zero-mode localization, arXiv:1512.03978 [INSPIRE].
  103. [103]
    M.E. Peskin and T. Takeuchi, A new constraint on a strongly interacting Higgs sector, Phys. Rev. Lett. 65 (1990) 964 [INSPIRE].ADSCrossRefGoogle Scholar
  104. [104]
    M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381 [INSPIRE].ADSGoogle Scholar
  105. [105]
    T.G. Rizzo and J.D. Wells, Electroweak precision measurements and collider probes of the standard model with large extra dimensions, Phys. Rev. D 61 (2000) 016007 [hep-ph/9906234] [INSPIRE].
  106. [106]
    H. Davoudiasl, J.L. Hewett and T.G. Rizzo, Bulk gauge fields in the Randall-Sundrum model, Phys. Lett. B 473 (2000) 43 [hep-ph/9911262] [INSPIRE].
  107. [107]
    C. Csáki, J. Erlich and J. Terning, The effective lagrangian in the Randall-Sundrum model and electroweak physics, Phys. Rev. D 66 (2002) 064021 [hep-ph/0203034] [INSPIRE].
  108. [108]
    T. Flacke and C. Pasold, Constraints on split-UED from electroweak precision tests, Phys. Rev. D 85 (2012) 126007 [arXiv:1111.7250] [INSPIRE].ADSGoogle Scholar
  109. [109]
    Gfitter Group collaboration, M. Baak et al., The global electroweak fit at NNLO and prospects for the LHC and ILC, Eur. Phys. J. C 74 (2014) 3046 [arXiv:1407.3792] [INSPIRE].
  110. [110]
    A. Denner, Techniques for calculation of electroweak radiative corrections at the one loop level and results for W physics at LEP-200, Fortsch. Phys. 41 (1993) 307 [arXiv:0709.1075] [INSPIRE].ADSGoogle Scholar
  111. [111]
    R.S. Chivukula, D.A. Dicus and H.-J. He, Unitarity of compactified five-dimensional Yang-Mills theory, Phys. Lett. B 525 (2002) 175 [hep-ph/0111016] [INSPIRE].
  112. [112]
    Y. Abe, N. Haba, Y. Higashide, K. Kobayashi and M. Matsunaga, Unitarity in gauge symmetry breaking on orbifold, Prog. Theor. Phys. 109 (2003) 831 [hep-th/0302115] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  113. [113]
    R.S. Chivukula, D.A. Dicus, H.-J. He and S. Nandi, Unitarity of the higher dimensional standard model, Phys. Lett. B 562 (2003) 109 [hep-ph/0302263] [INSPIRE].
  114. [114]
    T. Ohl and C. Schwinn, Unitarity, BRST symmetry and ward identities in orbifold gauge theories, Phys. Rev. D 70 (2004) 045019 [hep-ph/0312263] [INSPIRE].
  115. [115]
    Y. Abe, N. Haba, K. Hayakawa, Y. Matsumoto, M. Matsunaga and K. Miyachi, 4D equivalence theorem and gauge symmetry on orbifold, Prog. Theor. Phys. 113 (2005) 199 [hep-th/0402146] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  116. [116]
    N. Sakai and N. Uekusa, Selecting gauge theories on an interval by 5D gauge transformations, Prog. Theor. Phys. 118 (2007) 315 [hep-th/0604121] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  117. [117]
    K. Nishiwaki and K.-y. Oda, Unitarity in Dirichlet Higgs model, Eur. Phys. J. C 71 (2011) 1786 [arXiv:1011.0405] [INSPIRE].ADSCrossRefGoogle Scholar
  118. [118]
    A.D. Dolgov, Neutrinos in cosmology, Phys. Rept. 370 (2002) 333 [hep-ph/0202122] [INSPIRE].

Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Yukihiro Fujimoto
    • 1
  • K. Hasegawa
    • 2
  • Tomoaki Nagasawa
    • 3
  • Kenji Nishiwaki
    • 4
  • Makoto Sakamoto
    • 2
  • Kentaro Tatsumi
    • 2
  1. 1.National Institute of Technology, Oita CollegeOitaJapan
  2. 2.Department of PhysicsKobe UniversityKobeJapan
  3. 3.National Institute of Technology, Tomakomai CollegeTomakomaiJapan
  4. 4.School of Physics, Korea Institute for Advanced StudySeoulRepublic of Korea

Personalised recommendations