Abstract
We study implications of generalized non-zero Dirichlet boundary condition along with the ordinary Neumann one on a bulk scalar in the Randall-Sundrum warped compactification. First we show profiles of vacuum expectation value of the scalar under the general boundary conditions. We also investigate Goldberger-Wise mechanism in several setups with the general boundary conditions of the bulk scalar field and find that the mechanism can work under non-zero Dirichlet boundary conditions with appropriate vacuum expectation values. Especially, we show that SU(2) R triplet Higgs in the bulk left-right symmetric model with custodial symmetry can be identified with the Goldberger-Wise scalar.
Similar content being viewed by others
References
D.B. Fairlie, Higgs’ Fields and the Determination of the Weinberg Angle, Phys. Lett. B 82 (1979) 97 [SPIRES].
D.B. Fairlie, Two Consistent Calculations Of The Weinberg Angle, J. Phys. G 5 (1979) L55 [SPIRES].
N.S. Manton, A New Six-Dimensional Approach to the Weinberg-Salam Model, Nucl. Phys. B 158 (1979) 141 [SPIRES].
Y. Hosotani, Dynamical Mass Generation by Compact Extra Dimensions, Phys. Lett. B 126 (1983) 309 [SPIRES].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, Electroweak symmetry breaking from dimensional deconstruction, Phys. Lett. B 513 (2001) 232 [hep-ph/0105239] [SPIRES].
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] [SPIRES].
N. Haba, K.-y. Oda and R. Takahashi, Dirichlet Higgs in extra-dimension, consistent with electroweak data, arXiv:0910.3356 [SPIRES].
M. Serone, The Higgs boson as a gauge field in extra dimensions, AIP Conf. Proc. 794 (2005) 139 [hep-ph/0508019] [SPIRES].
M. Serone, Holographic Methods and Gauge-Higgs Unification in Flat Extra Dimensions, New J. Phys. 12 (2010) 075013 [arXiv:0909.5619] [SPIRES].
M. Schmaltz and D. Tucker-Smith, Little Higgs Review, Ann. Rev. Nucl. Part. Sci. 55 (2005) 229 [hep-ph/0502182] [SPIRES].
M. Perelstein, Little Higgs models and their phenomenology, Prog. Part. Nucl. Phys. 58 (2007) 247 [hep-ph/0512128] [SPIRES].
C. Csáki, J. Hubisz and P. Meade, Electroweak symmetry breaking from extra dimensions, hep-ph/0510275 [SPIRES].
E.H. Simmons, R.S. Chivukula, H.J. He, M. Kurachi and M. Tanabashi, Higgsless models: Lessons from deconstruction, AIP Conf. Proc. 857 (2006) 34 [hep-ph/0606019] [SPIRES].
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] [SPIRES].
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] [SPIRES].
L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [SPIRES].
I. Antoniadis, A Possible new dimension at a few TeV, Phys. Lett. B 246 (1990) 377 [SPIRES].
T. Appelquist, H.-C. Cheng and B.A. Dobrescu, Bounds on universal extra dimensions, Phys. Rev. D 64 (2001) 035002 [hep-ph/0012100] [SPIRES].
Y. Hosotani, K. Oda, T. Ohnuma and Y. Sakamura, Dynamical Electroweak Symmetry Breaking in SO(5) × U(1) Gauge-Higgs Unification with Top and Bottom Quarks, Phys. Rev. D 78 (2008) 096002 [arXiv:0806.0480] [SPIRES].
Y. Hosotani and Y. Kobayashi, Yukawa Couplings and Effective Interactions in Gauge-Higgs Unification, Phys. Lett. B 674 (2009) 192 [arXiv:0812.4782] [SPIRES].
N. Haba, K.-y. Oda and R. Takahashi, Top Yukawa Deviation in Extra Dimension, Nucl. Phys. B 821 (2009) 74 [Erratum ibid 824 (2010) 331] [arXiv:0904.3813] [SPIRES].
N. Haba, K.-y. Oda and R. Takahashi, Diagonal Kaluza-Klein expansion under brane localized potential, Acta Phys. Polon. B 41 (2010) 1291 [arXiv:0910.4528] [SPIRES].
N. Haba, K.-y. Oda and R. Takahashi, Phenomenological Aspects of Dirichlet Higgs Model from Extra-Dimension, JHEP 07 (2010) 079 [arXiv:1005.2306] [SPIRES].
K. Nishiwaki and K.-y. Oda, Unitarity in Dirichlet Higgs Model, arXiv:1011.0405 [SPIRES].
M. Holthausen and R. Takahashi, GIMPs from Extra Dimensions, Phys. Lett. B 691 (2010) 56 [arXiv:0912.2262] [SPIRES].
W.D. Goldberger and M.B. Wise, Modulus stabilization with bulk fields, Phys. Rev. Lett. 83 (1999) 4922 [hep-ph/9907447] [SPIRES].
S. Chang, J. Hisano, H. Nakano, N. Okada and M. Yamaguchi, Bulk standard model in the Randall-Sundrum background, Phys. Rev. D 62 (2000) 084025 [hep-ph/9912498] [SPIRES].
K. Agashe, A. Delgado, M.J. May and R. Sundrum, RS1, custodial isospin and precision tests, JHEP 08 (2003) 050 [hep-ph/0308036] [SPIRES].
D.C. Kennedy and B.W. Lynn, Electroweak Radiative Corrections with an Effective Lagrangian: Four Fermion Processes, Nucl. Phys. B 322 (1989) 1 [SPIRES].
M.E. Peskin and T. Takeuchi, A New constraint on a strongly interacting Higgs sector, Phys. Rev. Lett. 65 (1990) 964 [SPIRES].
M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381 [SPIRES].
C. Csáki, M.L. Graesser and G.D. Kribs, Radion dynamics and electroweak physics, Phys. Rev. D 63 (2001) 065002 [hep-th/0008151] [SPIRES].
P. Nath and M. Yamaguchi, Effects of Extra Space-time Dimensions on the Fermi Constant, Phys. Rev. D 60 (1999) 116004 [hep-ph/9902323] [SPIRES].
M. Masip and A. Pomarol, Effects of SM Kaluza-Klein excitations on electroweak observables, Phys. Rev. D 60 (1999) 096005 [hep-ph/9902467] [SPIRES].
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] [SPIRES].
A. Strumia, Bounds on Kaluza-Klein excitations of the SM vector bosons from electroweak tests, Phys. Lett. B 466 (1999) 107 [hep-ph/9906266] [SPIRES].
C.D. Carone, Electroweak constraints on extended models with extra dimensions, Phys. Rev. D 61 (2000) 015008 [hep-ph/9907362] [SPIRES].
C.D. Carone, Gauge unification in nonminimal models with extra dimensions, Phys. Lett. B 454 (1999) 70 [hep-ph/9902407] [SPIRES].
A. Delgado and M. Quirós, Strong coupling unification and extra dimensions, Nucl. Phys. B 559 (1999) 235 [hep-ph/9903400] [SPIRES].
T. Appelquist and H.-U. Yee, Universal extra dimensions and the Higgs boson mass, Phys. Rev. D 67 (2003) 055002 [hep-ph/0211023] [SPIRES].
I. Gogoladze and C. Macesanu, Precision electroweak constraints on Universal Extra Dimensions revisited, Phys. Rev. D 74 (2006) 093012 [hep-ph/0605207] [SPIRES].
T. Flacke, A. Menon and D.J. Phalen, Non-minimal universal extra dimensions, Phys. Rev. D 79 (2009) 056009 [arXiv:0811.1598] [SPIRES].
Y. Hosotani, P. Ko and M. Tanaka, Stable Higgs Bosons as Cold Dark Matter, Phys. Lett. B 680 (2009) 179 [arXiv:0908.0212] [SPIRES].
Y. Hosotani, M. Tanaka and N. Uekusa, H parity and the stable Higgs boson in the SO(5) × U(1) gauge-Higgs unification, Phys. Rev. D 82 (2010) 115024 [arXiv:1010.6135] [SPIRES].
N. Haba, S. Matsumoto, N. Okada and T. Yamashita, Gauge-Higgs Dark Matter, JHEP 03 (2010) 064 [arXiv:0910.3741] [SPIRES].
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] [SPIRES].
A. Pomarol, Gauge bosons in a five-dimensional theory with localized gravity, Phys. Lett. B 486 (2000) 153 [hep-ph/9911294] [SPIRES].
Y. Grossman and M. Neubert, Neutrino masses and mixings in non-factorizable geometry, Phys. Lett. B 474 (2000) 361 [hep-ph/9912408] [SPIRES].
T. Gherghetta and A. Pomarol, Bulk fields and supersymmetry in a slice of AdS, Nucl. Phys. B 586 (2000) 141 [hep-ph/0003129] [SPIRES].
B. Holdom and J. Terning, Large corrections to electroweak parameters in technicolor theories, Phys. Lett. B 247 (1990) 88 [SPIRES].
M. Golden and L. Randall, Radiative Corrections To Electroweak Parameters In Technicolor Theories, Nucl. Phys. B 361 (1991) 3 [SPIRES].
H. Georgi, Effective field theory and electroweak radiative corrections, Nucl. Phys. B 363 (1991) 301 [SPIRES].
R. Barbieri and A. Strumia, What is the limit on the Higgs mass?, Phys. Lett. B 462 (1999) 144 [hep-ph/9905281] [SPIRES].
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] [SPIRES].
J. de Blas, A. Falkowski, M. Pérez-Victoria and S. Pokorski, Tools for deconstructing gauge theories in AdS 5, JHEP 08 (2006) 061 [hep-th/0605150] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Haba, N., Oda, Ky. & Takahashi, R. Dirichlet Higgs as radion stabilizer in warped compactification. J. High Energ. Phys. 2011, 125 (2011). https://doi.org/10.1007/JHEP05(2011)125
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2011)125