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Title: Bulk Gauge Fields in the Randall-Sundrum Model

Abstract

We explore the consequences of placing the Standard Model gauge fields in the bulk of the recently proposed localized gravity model of Randall and Sundrum. We find that the Kaluza Klein excitations of these fields are necessarily strongly coupled and we demonstrate that current precision electroweak data constrain the lowest states to lie above {approx_equal}23 TeV. Taking the weak scale to be {approx} 1 TeV, the resulting implications on the model parameters force the bulk curvature to be larger than the higher dimensional Planck scale, violating the consistency of the theory. Hence we conclude that it is disfavored to place the Standard Model gauge fields in the bulk of this model as it is presently formulated.

Authors:
Publication Date:
Research Org.:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
15096
Report Number(s):
SLAC-PUB-8298
TRN: US0204551
DOE Contract Number:
AC03-76SF00515
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 5 Nov 1999
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ENERGY; STANDARD MODEL; STANFORD LINEAR ACCELERATOR CENTER

Citation Formats

Rizzo, Thomas G. Bulk Gauge Fields in the Randall-Sundrum Model. United States: N. p., 1999. Web. doi:10.2172/15096.
Rizzo, Thomas G. Bulk Gauge Fields in the Randall-Sundrum Model. United States. doi:10.2172/15096.
Rizzo, Thomas G. Fri . "Bulk Gauge Fields in the Randall-Sundrum Model". United States. doi:10.2172/15096. https://www.osti.gov/servlets/purl/15096.
@article{osti_15096,
title = {Bulk Gauge Fields in the Randall-Sundrum Model},
author = {Rizzo, Thomas G.},
abstractNote = {We explore the consequences of placing the Standard Model gauge fields in the bulk of the recently proposed localized gravity model of Randall and Sundrum. We find that the Kaluza Klein excitations of these fields are necessarily strongly coupled and we demonstrate that current precision electroweak data constrain the lowest states to lie above {approx_equal}23 TeV. Taking the weak scale to be {approx} 1 TeV, the resulting implications on the model parameters force the bulk curvature to be larger than the higher dimensional Planck scale, violating the consistency of the theory. Hence we conclude that it is disfavored to place the Standard Model gauge fields in the bulk of this model as it is presently formulated.},
doi = {10.2172/15096},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Nov 05 00:00:00 EST 1999},
month = {Fri Nov 05 00:00:00 EST 1999}
}

Technical Report:

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  • The radion may be the lightest new state present in the Randall-Sundrum(RS) model. We examine the couplings of the radion to the Standard Model(SM) fields in the scenario where they propagate in the bulk and expand into Kaluza-Klein towers. These couplings are then contrasted with those of the more familiar case where the SM fields are confined to the TeV brane. We find that the couplings of the radion to both gg and {gamma}{gamma} can be significantly different in these two cases. Implications for radion collider phenomenology are discussed.
  • Assuming the breaking of gauge symmetries by the Higgs mechanism, we consider the associated bulk gauge boson masses in the Randall-Sundrum background. With the Higgs field confined on the TeV-brane, the W and Z boson masses are naturally an order of magnitude smaller than their Kaluza-Klein excitation masses. The electroweak precision data require the lowest excited state to lie above about 30 TeV, with fermions on the TeV-brane. This bound is reduced to about 10 TeV if the fermions reside sufficiently close to the Planck-brane. Thus, some tuning of parameters is needed. We also discuss the bulk Higgs case, wheremore » the bounds are an order of magnitude smaller.« less
  • We consider the production of black holes at the LHC in the Randall-Sundrum (RS) model through the collisions of Standard Model(SM) fields in the bulk. In comparison to the previously studied case where the SM fields are all confined to the TeV brane, we find substantial suppressions to the corresponding collider cross sections for all initial states, i.e., gg, qq and gq, where q represents a light quark or anti-quark which lie close to the Planck brane. For b quarks, which are closer to the TeV brane, this suppression effect is somewhat weaker though b quark contributions to the crossmore » section are already quite small due to their relatively small parton densities. Semi-quantitatively, we find that the overall black hole cross section is reduced by roughly two orders of magnitude in comparison to the traditional TeV brane localized RS model with the exact value being sensitive to the detailed localizations of the light SM fermions in the bulk.« less
  • We consider bulk antisymmetric tensor fields of various ranks in a Randall-Sundrum scenario. We show that, rank 2 onwards, the zero-modes of the projections of these fields on the (3+1)-dimensional visible brane become increasingly weaker as the rank of the tensor increases. All such tensor fields of rank 4 or more are absent from the dynamics in four dimensions. This leaves only the zero-mode graviton to have coupling {approx}1/M{sub P} with matter, thus explaining why the large-scale behavior of the universe is governed by gravity only. We have also computed the masses of the heavier modes up to rank 3,more » and have shown that they are relatively less likely to have detectable accelerator signals.« less
  • A string-inspired three-form-dilaton-gravity model is studied in a Randall-Sundrum brane world scenario. As expected, the rank-3 antisymmetric field is exponentially suppressed. For each mass level, the mass spectrum is bigger than the one for the Kalb-Ramond field. The coupling between the dilaton and the massless Kaluza-Klein mode of the three-form is calculated, and the coupling constant of the cubic interactions is obtained numerically. This coupling are of the order of Tev{sup -1}; therefore, there exists a possibility to find some signal of it at Tev scale.