Abstract
Higher dimensional theories which address some of the problematic issues of the Standard Model (SM) naturally involve some form of D = 4+ n-dimensional Lorentz invariance violation (LIV). In such models the fundamental physics which leads to, e.g., field localization, orbifolding, the existence of brane terms and the compactification process all can introduce LIV in the higher dimensional theory while still preserving 4-d Lorentz invariance. In this paper, attempting to capture some of this physics, we extend our previous analysis of LIV in 5-d UED-type models to those with 5-d warped extra dimensions. To be specific, we employ the 5-d analog of the SM Extension of Kostelecky et al. which incorporates a complete set of operators arising from spontaneous LIV. We show that while the response of the bulk scalar, fermion and gauge fields to the addition of LIV operators in warped models is qualitatively similar to what happens in the flat 5-d UED case, the gravity sector of these models reacts very differently than in flat space. Specifically, we show that LIV in this warped case leads to a non-zero bulk mass for the 5-d graviton and so the would-be zero mode, which we identify as the usual 4-d graviton, must necessarily become massive. The origin of this mass term is the simultaneous existence of the constant non-zero AdS 5 curvature and the loss of general co-ordinate invariance via LIV in the 5-d theory. Thus warped 5-d models with LIV in the gravity sector are not phenomenologically viable.
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References
D. Mattingly, Modern tests of Lorentz invariance, Living Rev. Rel. 8 (2005) 5 [gr-qc/0502097] [SPIRES].
H. Vucetich, Testing Lorentz invariance violation in quantum gravity theories, gr-qc/0502093 [SPIRES].
T. Jacobson, S. Liberati and D. Mattingly, Lorentz violation at high energy: concepts, phenomena and astrophysical constraints, Annals Phys. 321 (2006) 150 [astro-ph/0505267] [SPIRES].
S.L. Glashow, Atmospheric neutrino constraints on Lorentz violation, hep-ph/0407087 [SPIRES].
G. Amelino-Camelia and L. Smolin, Prospects for constraining quantum gravity dispersion with near term observations, Phys. Rev. D 80 (2009) 084017 [arXiv:0906.3731] [SPIRES].
J . Bolmont and A. J acholkowska, Lorentz symmetry breaking studies with photons from astrophysical observations, arXiv:1007.4954 [SPIRES].
J. Ellis, N.E. Mavromatos and D.V. Nanopoulos, Probing a possible vacuum refractive index with gamma-ray telescopes, Phys. Lett. B 674 (2009) 83 [arXiv:0901.4052] [SPIRES].
G. Amelino-Camelia, Doubly special relativity, Nature 418 (2002) 34 [gr-qc/0207049] [SPIRES].
G. Amelino-Camelia, Doubly-special relativity: first results and key open problems, Int. J. Mod. Phys. D 11 (2002) 1643 [gr-qc/0210063] [SPIRES].
J. Kowalski-Glikman, Doubly special relativity: Facts and prospects, gr-qc/0603022 [SPIRES].
M.L. Graesser, A. Jenkins and M.B. Wise, Spontaneous Lorentz violation and the long-range gravitational preferred-frame effect, Phys. Lett. B 613 (2005) 5 [hep-th/0501223] [SPIRES].
R. Bluhm and V.A. Kostelecky, Spontaneous Lorentz violation, Nambu-Goldstone modes and gravity, Phys. Rev. D 71 (2005) 065008 [hep-th/0412320] [SPIRES].
N. Arkani-Hamed, H.-C. Cheng, M. Luty and J. Thaler, Universal dynamics of spontaneous Lorentz violation and a new spin-dependent inverse-square law force, JHEP 07 (2005) 029 [hep-ph/0407034] [SPIRES].
L.P. Colatto, A.L.A. Penna and W.C. Santos, Charged tensor matter fields and Lorentz symmetry violation via spontaneous symmetry breaking, Eur. Phys. J. C 36 (2004) 79 [hep-th/0310220] [SPIRES].
J.W. Moffat, Spontaneous violation of Lorentz invariance and ultra-high energy cosmic rays, Int. J. Mod. Phys. D 12 (2003) 1279 [hep-th/0211167] [SPIRES].
D. Colladay, Spontaneous violation of Lorentz and CPT symmetry, hep-ph/0103021 [SPIRES].
D. Colladay and V.A. Kostelecky, Lorentz-violating extension of the standard model, Phys. Rev. D 58 (1998) 116002 [hep-ph/9809521] [SPIRES].
D. Colladay and V.A. Kostelecky, CPT violation and the standard model, Phys. Rev. D 55 (1997) 6760 [hep-ph/9703464] [SPIRES].
V.A. Kostelecky, Gravity, Lorentz violation and the standard model, Phys. Rev. D 69 (2004) 105009 [hep-th/0312310] [SPIRES].
V.A. Kostelecky and N. Russell, Data tables for Lorentz and CPT violation, arXiv:0801.0287 [SPIRES].
M. Quirós, Introduction to extra dimensions, hep-ph/0606153 [SPIRES].
I. Antoniadis, The physics of extra dimensions, Lect. Notes Phys. 720 (2007) 293 [hep-ph/0512182] [SPIRES].
J.L. Hewett and M. Spiropulu, Particle physics probes of extra spacetime dimensions, Ann. Rev. Nucl. Part. Sci. 52 (2002) 397 [hep-ph/0205106] [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].
H.-C. Cheng, K.T. Matchev and M. Schmaltz, Bosonic supersymmetry? Getting fooled at the CERN LHC, Phys. Rev. D 66 (2002) 056006 [hep-ph/0205314] [SPIRES].
H.-C. Cheng, K.T. Matchev and M. Schmaltz, Radiative corrections to Kaluza-Klein masses, Phys. Rev. D 66 (2002) 036005 [hep-ph/0204342] [SPIRES].
T.G. Rizzo, Probes of universal extra dimensions at colliders, Phys. Rev. D 64 (2001) 095010 [hep-ph/0106336] [SPIRES].
T.G. Rizzo, Lorentz violation in extra dimensions, JHEP 09 (2005) 036 [hep-ph/0506056] [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].
H. Davoudiasl, J.L. Hewett and T.G. Rizzo, Phenomenology of the Randall-Sundrum gauge hierarchy model, Phys. Rev. Lett. 84 (2000) 2080 [hep-ph/9909255] [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].
H. Davoudiasl, J.L. Hewett and T.G. Rizzo, Experimental probes of localized gravity: on and off the wall, Phys. Rev. D 63 (2001) 075004 [hep-ph/0006041] [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].
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].
W.D. Goldberger and M.B. Wise, Bulk fields in the Randall-Sundrum compactification scenario, Phys. Rev. D 60 (1999) 107505 [hep-ph/9907218] [SPIRES].
S.M. Carroll and H. Tam, Aether compactification, Phys. Rev. D 78 (2008) 044047 [arXiv:0802.0521] [SPIRES].
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ArXiv ePrint:1008.0380
Work supported in part by the Department of Energy, Contract DE-AC02-76SF00515.
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Rizzo, T.G. Lorentz violation in warped extra dimensions. J. High Energ. Phys. 2010, 156 (2010). https://doi.org/10.1007/JHEP11(2010)156
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DOI: https://doi.org/10.1007/JHEP11(2010)156