Renormalizable extra-dimensional models

Journal of High Energy Physics

Volumn , Issue 1, 2005, Pages 27-58

  Morris, Tim R ^a,b  

^a CERN   (Switzerland)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Beyond Standard Model; Compactification and String Models; Field Theories in Higher Dimensions; Nonperturbative Effects

Indexed keywords

EID: 27344442922     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/01/002     Document Type: Article

References (119)

1. I. Antoniadis, A possible new dimension at a few TeV, Phys. Lett. B 246 (1990) 377.
2. For a recent review see F. Feruglio, Extra dimensions in particle physics, Eur. Phys. J. C 33 (2004) S114 [hep-ph/0401033].
3. R. Barbieri and A. Strumia, What is the limit on the Higgs mass?, Phys. Lett. B 462 (1999) 144 [hep-ph/9905281];
4. R. Barbieri, Electroweak symmetry breaking as of 2003, on the way to the large hadron collider, hep-ph/0312253.
5. R. Barbieri, G. Marandella and M. Papucci, Breaking the electroweak symmetry and supersymmetry by a compact extra dimension, Phys. Rev. D 66 (2002) 095003 [hep-ph/0205280].
6. N.S. Manton, A new six-dimensional approach to the Weinberg-Salam model, Nucl. Phys. B 158 (1979) 141;
7. D.B. Fairlie, Higgs' fields and the determination of the Weinberg angle, Phys. Lett. B 82 (1979) 97;
8. P. Forgacs and N.S. Manton, Space-time symmetries in gauge theories, Commun. Math. Phys. 72 (1980) 15.
9. A. Masiero, C.A. Scrucca, M. Serone and L. Silvestrini, Non-local symmetry breaking in Kaluza-Klein theories, Phys. Rev. Lett. 87 (2001) 251601 [hep-ph/0107201].
10. I. Antoniadis, K. Benakli and M. Quiros, Finite Higgs mass without supersymmetry, New J. Phys. 3 (2001) 20 [hep-th/0108005].
11. L.J. Hall, Y. Nomura and D.R. Smith, Gauge-higgs unification in higher dimensions, Nucl. Phys. B 639 (2002) 307 [hep-ph/0107331].
12. C. Csáki, C. Grojean and H. Murayama, Standard Model Higgs from higher dimensional gauge fields, Phys. Rev. D 67 (2003) 085012 [hep-ph/0210133].
13. G. Burdman and Y. Nomura, Unification of Higgs and gauge fields in five dimensions, Nucl. Phys. B 656 (2003) 3 [hep-ph/0210257].
14. G. von Geredorff, N. Irges and M. Quiros, Finite mass corrections in orbifold gauge theories, hep-ph/0206029.
15. G. von Geredorff, N. Irges and M. Quiros, Radiative brane-mass terms in d > B orbifold gauge theories, Phys. Lett. B 551 (2003) 351 [hep-ph/0210134].
16. C.A. Scrucca, M. Serone and L. Silvestrini, Electroweak symmetry breaking and fermion masses from extra dimensions, Nucl. Phys. B 669 (2003) 128 [hep-ph/0304220].
17. 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];
18. C. Csáki, C. Grojean, L. Pilo and J. Terning, Towards a realistic model of higgsless electroweak symmetry breaking, Phys. Rev. Lett. 92 (2004) 101802 [hep-ph/0308038].
19. Y. Kawamura, Triplet-doublet splitting, proton stability and extra dimension, Prog. Theor. Phys. 105 (2001) 999 [hep-ph/0012125].
20. T. Asaka, W. Buchmuller and L. Covi, Gauge unification in six dimensions, Phys. Lett. B 523 (2001) 199 [hep-ph/0108021];
21. Exceptional coset spaces and unification in six dimensions, Phys. Lett. B 540 (2002) 295 [hep-ph/0204358];
22. L.J. Hall, Y. Nomura, T. Okui and D.R. Smith, SO(10) unified theories in six dimensions, Phys. Rev. D 65 (2002) 035008 [hep-ph/0108071];
23. R. Dermisek and A. Mafi, So(10) grand unification in five dimensions: proton decay and the mu problem, Phys. Rev. D 65 (2002) 055002 [hep-ph/0108139];
24. T. Watari and T. Yanagida, Supertymmetric grand unification model with the orbifold symmetry breaking in the six dimensional supergravity, Phys. Lett. B 519 (2001) 164 [hep-ph/0108152];
25. 8 breaking, Phys. Lett. B 530 (2002) 218 [hep-th/0112046];
26. L.J. Hall and Y. Nomura, SO(10) and SU(6) unified theories on an elongated rectangle, Nucl. Phys. B 703 (2004) 217 [hep-ph/0207079].
27. K.R. Dienes, E. Dudas and T. Gherghetta, Light neutrinos without heavy mass scales: a higher-dimensional seesaw mechanism, Nucl. Phys. B 557 (1999) 25 [hep-ph/9811428];
28. 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];
29. G.R. Dvali and A.Y. Smirnov, Probing large extra dimensions with neutrinos, Nucl. Phys. B 563 (1999) 63 [hep-ph/9904211].
30. L.J. Hall and Y. Nomura, Gauge unification in higher dimensions, Phys. Rev. D 64 (2001) 055003 [hep-ph/0103125].
31. L.J. Hall and Y. Nomura, A complete theory of grand unification in five dimensions, Phys. Rev. D 66 (2002) 075004 [hep-ph/0205067];
32. Grand unification in higher dimensions, Ann. Phys. (NY) 306 (2003) 132 [hep-ph/0212134];
33. L. Hall, J. March-Russell, T. Okui and D.R. Smith, Towards a theory of flavor from orbifold guts, J. High Energy Phys. 09 (2004) 026 [hep-ph/0108161].
34. E.A. Mirabelli and M. Schmaltz, Yukawa hierarchies from split fermions in extra dimensions, Phys. Rev. D 61 (2000) 113011 [hep-ph/9912265];
35. G.R. Dvali and M.A. Shifman, Families at neighbors in extra dimension, Phys. Lett. B 475 (2000) 295 [hep-ph/0001072];
36. D.E. Kaplan and T.M.P. Tait, Supersymmetry breaking, fermion masses and a small extra dimension, J. High Energy Phys. 06 (2000) 020 [hep-ph/0004200];
37. S.J. Huber and Q. Shaft, Fermion masses, mixings and proton decay in a Randall-Sundrum model, Phys. Lett. B 498 (2001) 256 [hep-ph/0010195];
38. G.C. Branco, A. de Gouvea and M.N. Rebelo, Split fermions in extra dimensions and CP-violation, Phys. Lett. B 506 (2001) 115 [hep-ph/0012289];
39. T.G. Rizzo, Cartography with accelerators: locating fermions in extra dimensions at future lepton colliders, Phys. Rev. D 64 (2001) 015003 [hep-ph/0101278];
40. S. Nussinov and R. Shrock, Effects of gauge interactions on fermion masses in models with fermion wavefunctions separated in higher dimensions, Phys. Lett. B 526 (2002) 137 [hep-ph/0101340];
41. G. Barenboim, G.C. Branco, A. de Gouvea and M.N. Rebelo, Neutrino masses and lepton flavor violation in thick brane scenarios, Phys. Rev. D 64 (2001) 073005 [hep-ph/0104312];
42. A. Neronov, Fermion masses and quantum numbers from extra dimensions, Phys. Rev. D 65 (2002) 044004 [gr-qc/0106092];
43. D.E. Kaplan and T.M.P. Tait, New tools for fermion masses from extra dimensions, J. High Energy Phys. 11 (2001) 051 [hep-ph/0110126];
44. F. Del Aguila and J. Santiago, Signals from extra dimensions decoupled from the compactification scale, J. High Energy Phys. 03 (2002) 010 [hep-ph/0111047];
45. N. Haba and N. Maru, (S)fermion matter in fat brane scenario, Phys. Rev. D 66 (2002) 055005 [hep-ph/0204069];
46. J. Maalampi, V. Sipilainen and I. Vilja, A scheme with two large extra dimensions confronted with neutrino physics, Phys. Rev. D 67 (2003) 113005 [hep-ph/0208211];
47. Y. Grossman and G. Perez, Realistic construction of split fermion models, Phys. Rev. D 67 (2003) 015011 [hep-ph/0210053];
48. S.J. Huber, Flavor physics and warped extra dimensions, hep-ph/0211056;
49. Flavor violation and warped geometry, Nucl. Phys. B 666 (2003) 269 [hep-ph/0303183].
50. S. Weinberg, Phenomenological lagrangians, Physica A 96 (1979) 327;
51. A. Manohar and H. Georgi, Chiral quarks and the nonrelativistic quark model, Nucl. Phys. B 234 (1984) 189;
52. Z. Chacko, M.A. Luty and E. Ponton, Massive higher-dimensional gauge fields as messengers of supersymmetry breaking, J. High Energy Phys. 07 (2000) 036 [hep-ph/9909248].
53. R. Barbieri, A. Pomarol, R. Rattazzi and A. Strumia, Electroweak symmetry breaking after LEP1 and LEP2, Nucl. Phys. B 703 (2004) 127 [hep-ph/0405040].
54. M.E. Peekin, Critical point behavior of the Wilton loop, Phys. Lett. B 94 (1980) 161.
55. H. Gies, Renormalizability of gauge theories in extra dimensions, Phys. Rev. D 68 (2003) 085015 [hep-th/0305208].
56. M. Creutz, Confinement and the critical dimensionality of space-time, Phys. Rev. Lett. 43 (1979) 553.
57. H. Kawai, M. Nio and Y. Okamoto, On exittence of nonrenormalizable field theory: pure SU(2) lattice gauge theory in five-dimensions, Prog. Theor. Phys. 88 (1992) 341.
58. J. Nishimura, On existence of nontrivial fixed points in large-N gauge theory in more than four dimensions, Mod. Phys. Lett. A 11 (1996) 3049 [hep-lat/9608119].
59. S. Ejiri, J. Kubo and M. Murata, A study on the nonperturbative existence of Yang-Mills theories with large extra dimensions, Phys. Rev. D 62 (2000) 105025 [hep-ph/0006217];
60. S. Ejiri, S. Fujimoto and J. Kubo, Scaling laws and effective dimension in lattice SU(2) Yang-Mills theory with a compactified extra dimension, Phys. Rev. D 66 (2002) 036002 [hep-lat/0204022].
61. M. Hashimoto, M. Tanabashi and K. Yamawaki, Top mode Standard Model with extra dimensions, Phys. Rev. D 64 (2001) 056003 [hep-ph/0010260];
62. V. Gusynin, M. Hashimoto, M. Tanabashi and K. Yamawaki, Dynamical chiral symmetry breaking in gauge theories with extra dimensions, Phys. Rev. D 65 (2002) 116008 [hep-ph/0201106];
63. Gauged Nambu-Jona-Lasinio model with extra dimensions, Phys. Rev. D 70 (2004) 096005 [hep-ph/0406194].
64. D.I. Kazakov, Ultraviolet fixed points in gauge and SUSY field theories in extra dimensions, J. High Energy Phys. 03 (2003) 020 [hep-th/0209100].
65. N phate transition with Kaluza-Klein gauge fields, Nucl. Phys. B 655 (2003) 170 [hep-ph/0207343].
66. N. Seiberg, Five dimensional SUSY field theories, non-trivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111];
67. Non-trivial fixed points of the renormalization group in six dimensions, Phys. Lett. B 390 (1997) 169 [hep-th/9609161];
68. K.A. Intriligator, D.R. Morrison and N. Seiberg, Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces, Nucl. Phys. B 497 (1997) 56 [hep-th/9702198].
69. K.R. Dienes, E. Dudas and T. Gherghetta, GUT precursors and non-trivial fixed points in higher-dimensional gauge theories, Phys. Rev. Lett. 91 (2003) 061601 [hep-th/0210294];
70. 2 orbifold guts, Phys. Lett. B 566 (2003) 226 [hep-ph/0302038].
71. Y. Hosotani, Dynamical mass generation by compact extra dimensions, Phys. Lett. B 126 (1983) 309;
72. Dynamical gauge symmetry breaking as the Casimir effect, Phys. Lett. B 129 (1983) 193;
73. Dynamics of nonintegrable phases and gauge symmetry breaking, Ann. Phys. (NY) 190 (1989) 233;
74. Dynamical gauge-Higgs unification) hep-ph/0408012.
75. 2, Mod. Phys. Lett. A 17 (2002) 2249 [hep-ph/0111327].
76. 2, Nucl. Phys. B 657 (2003) 169 [hep-ph/0212035], erratum ibid. B 669 (2003) 381.
77. D.J. Gross and F. Wilczek, Ultraviolet behavior of non-abelian gauge theories, Phys. Rev. Lett. 30 (1973) 1343;
78. H.D. Politzer, Reliable perturbative results for strong interactions?, Phys. Rev. Lett. 30 (1973) 1346;
79. G. 't Hooft, report at the Marseille Conference on Yang-Mills Fields, 1972;
80. W.E. Caswell, Asymptotic behavior of nonabelian gauge theories to two loop order, Phys. Rev. Lett. 33 (1974) 244;
81. D.R.T. Jones, Two loop diagrams in Yang-Mills theory, Nucl. Phys. B 75 (1974) 531;
82. E. Egorian and O. V. Tkrasov, Two loop renormalization of the QCD in an arbitrary gauge, Theor. Math. Phys. 41 (1979) 863
83. [Teor. Mat. Fiz. 41 (1979) 26];
84. O.V. Tarasov, A.A. Vladimirov and A.Y. Zharkov, The Gell-Mann-Low function of QCD in the three loop approximation, Phys. Lett. B 93 (1980) 429;
85. S.A. Larin and J.A.M. Vermaseren, The three loop QCD β function and anomalous dimensions, Phys. Lett. B 303 (1993) 334 [hep-ph/9302208].
86. T. van Ritbergen, J.A.M. Vermaseren and S.A. Larin, The four-loop β function in quantum chromodynamics, Phys. Lett. B 400 (1997) 379 [hep-ph/9701890].
87. K.G. Wilson, Confinement of quarks, Phys. Rev. D 10 (1974) 2445;
88. F.J. Wegner and A. Houghton, Renormalization group equation for critical phenomena, Phys. Rev. A. 8 (1973) 401;
89. K.G. Wilson in New phenomena in subnuclear physics, Erice '75, A. Zichichi ed., Plenum Press, New York 1977;
90. in Recent developments in gauge theories, Cargese '79, G. 't Hooft ed., Plenum Press, New York 1980.
91. J. Zinn-Justin, Quantum field theory and critical phenomena, Int. Ser. Monogr. Phys. 113 (2002) 1.
92. F. Wegner, Z. Phys. B78 (1990) 36;
93. G.E. Castilla and S. Chakravarty, Is the phase transition in the Heisenberg model described by the (2 + ε) expansion of the non-linear c-model?, Nucl. Phys. B 485 (1997) 613 [cond-mat/9605088].
94. E. Brezin and S. Hikami, Fancy and facts in the (d - 2) expansion of non-linear sigma models, cond-mat/9612016.
95. See e.g. F. J. Dyson, Divergence of perturbation theory in quantum electrodynamics, Phys. Rev. 85 (1952) 631.
96. S.R. Coleman and D.J. Gross, Price of asymptotic freedom, Phys. Rev. Lett. 31 (1973) 851.
97. 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];
98. 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].
99. R. Rattazzi, private comments.
100. H. Georgi, A.K. Grant and G. Hailu, Brane couplings from bulk loops, Phys. Lett. B 506 (2001) 207 [hep-ph/0012379];
101. M. Carena, T.M.P. Tait and C.E.M. Wagner, Branes and orbifolds are opaque, Acta Phys. Polon. B33 (2002) 2355 [hep-ph/0207056];
102. F. del Aguila, M. Perez-Victoria and J. Santiago, Some consequences of brane kinetic terms for bulk fermions, hep-ph/0305119.
103. L.F. Abbott, The background field method beyond one loop, Nucl. Phys. B 185 (1981) 189.
104. G.R. Dvali, G. Gabadadze and M. Porrati, 4d gravity on a brane in 5d Minkowski space, Phys. Lett. B 485 (2000) 208 [hep-th/0005016]
105. M.A. Luty, M. Porrati and R. Rattazzi, Strong interactions and stability in the DGP model, J. High Energy Phys. 09 (2003) 029 [hep-th/0303116].
106. J. Scherk and J.H. Schwarz, Spontaneous breaking of supersymmetry through dimensional reduction, Phys. Lett. B 82 (1979) 60;
107. How to get masses from extra dimensions, Nucl. Phys. B 153 (1979) 61.
108. I. Antoniadis and K. Benakli, Limits on extra dimensions in orbifold compactifications of superstrings, Phys. Lett. B 326 (1994) 69 [hep-th/9310151].
109. A. Delgado, A. Pomarol and M. Quiros, Electroweak and flavor physics in extensions of the Standard Model with large extra dimensions, J. High Energy Phys. 01 (2000) 030 [hep-ph/9911252].
110. PARTIOLE DATA GROUP collaboration, S. Eidelman et al., Review of particle physics, Phys. Lett. B 592 (2004) 1.
111. G. Gounaris et al., Triple gauge boson couplings, hep-ph/9601233.
112. See e.g. L.E. Ibáñez, Hierarchy of quark-lepton masses in orbifold superstring compactification, Phys. Lett. B 181 (1986) 269.
113. N. Arkani-Hamed, A.G. Cohen and H. Georgi, Anomalies on orbifolds, Phys. Lett. B 516 (2001) 395 [hep-th/0103135];
114. C.A. Scrucca, M. Serone, L. Silveetrini and F. Zwirner, Anomalies in orbifold field theories, Phys. Lett. B 525 (2002) 169 [hep-th/0110073];
115. R. Barbieri, R. Contino, P. Creminelli, R. Rattazzi and C.A. Scrucca, Anomalies, Fayet-Iliopoulos terms and the consistency of orbifold field theories, Phys. Rev. D 66 (2002) 024025 [hep-th/0203039];
116. L. Pilo and A. Riotto, On anomalies in orbifold theories, Phys. Lett. B 546 (2002) 135 [hep-th/0202144];
117. H.-D. Kim, J.E. Kim and H.M. Lee, TeV scale 5d SU(3)w unification and the fixed point anomaly cancellation with chiral split multiplets, J. High Energy Phys. 06 (2002) 048 [hep-th/0204132].
118. N. Haba, Y. Hosotani, Y. Kawamura and T. Yamashita, Dynamical symmetry breaking in gauge-Higgs unification on orbifold, Phys. Rev. D 70 (2004) 015010 [hep-ph/0401183].
119. N. Haba and T. Yamashita, The general formula of the effective potential in 5d SU(N) gauge theory on orbifold, J. High Energy Phys. 02 (2004) 059 [hep-ph/0401185].