1. Kaluza-Klein states and the geography of extra dimensions
Based on:
Davoudiasl, Hewett, Lillie, Rizzo hep-ph/
Lillie hep-ph/
Lillie, Randall, Wang In progress

2. Outline
Introduction
RS model building
Gluon KK states
Dijet resonances
Other KK states
Future work

3. Motivation and formalism
RS1 Solution to the Hierarchy problem
Randall and Sundrum hep-ph/ IR UV
Spacetime is , compactified on
Conformal coordinates
Masses are scaled by
Warping generates EW scale at the IR brane:
(Parameters are natural)
Goldberger and Wise hep-ph/

4. Where to put the SM? Original RS model: SM on TeV brane
Problems with 4-fermion operators:
Fermions on UV brane:
But EWSB on TeV brane, so fermions must be bulk fields
(Gauge fields must also then live in bulk)
Can achieve gauge coupling unification
Agashe, Delgado, and Sundrum hep-ph/
Agashe, and Servant hep-ph/

5. Flavor problem This is a good thing 5D fermions are achiral,
so we can write 5D mass
Equations of motion have a zero mode KK
Coupling to EWSB (Higgs) is then d s
Suppress FCNC for first two generations
Grossman and Neubert hep-ph/
Gherghetta, Pomarol hep-ph/ UV IR

6. Formalism – gluon resonances
Start by looking at a single resonance, mass m:
Parameterize the couplings by:
Note that the vertex is zero by orthogonality
See also: Ghavri, McMullen, Nandi hep-ph/

7. Typical values
Flat extra dimension
Randall-Sundrum
gluons
fermions

8. Single resonance in dijets
Parton level, exact
With gaussian detector smearinig
10 fb-1
M = 3 TeV

9. B-jets
1 b-tag
Parton-level
2 b-tags

10. Need to look at the tt final state
Comparing flat to RS
Typical RS values:
Dijets
Need to look at the tt final state

11. Drell-Yan Different widths to account for fermion location
Generically will be lighter
than studied here

12. Graviton KK excitations
NOT visible
Light fermions near Planck
brane, so graviton couplings
highly suppressed
Gauge bosons have
volume suppression

13. Future work Things to include: Statistical analysis
More dimensions (n=2,3)
tt final state (possibly in dijets)
PDF errors
Statistical analysis
Reach and exclusion (Tevatron/LHC)
Sensitivity to m, n, λ, λb, λt

14. KK gluon production rates are large
Conclusions
Work in progress
KK gluon production rates are large
Properties can be used to extract information
Most useful are bb and tt final states
Need a channel to find graviton resonances in RS