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3 Two main SUSY scenarios: (RPV/RPC) RP-Conserving RP-Violating R-Parity: Conservation/Violation (L.S.P. = “lightest SUSY particle”) R=+1 for Standard Model particles R= -1 for SUSY particles
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ATLAS Physics Potential III
Borut KersevanJozef Stefan Inst.Univ. of Ljubljana
ATLAS Physics Potential:• Standard Model• Higgs & Susy• BSM: Susy and Exotics
On behalf of the ATLAS collaboration
2
Supersymmetry – Extra particles To stabilise the higgs mass NEED: A scalar partner for every fermion
squark, slepton, (stop, sbottom, selectron, smuon, sneutrino, etc) A fermion partner for ever boson:
gluino, photino, wino, zino, higgsino
(mix to form 4 neutralinos) Inexact symmetry
– broken somehow
3
Two main SUSY scenarios: (RPV/RPC) RP-Conserving RP-Violating
R-Parity: Conservation/Violation
(L.S.P. = “lightest SUSY particle”)
How stable is thelightest SUSYparticle (L.S.P.) ?
Largemissingenergy?
Event can bereconstructedfully?
Sparticleproduction
RPC Stable Yes Usually not Only in pairs
RPV Unstable(decays to leptons or jets)
No Yes Either singly,or in pairs
R=+1 for Standard Model particles R= -1 for SUSY particlessLBR 2)(3)1(
4
What do events look like?
(Baryon number violating)
RPV RPV
(Lepton number violating)
RPC RPC
5
R-Parity Violation RPV
Easier than RPC? The L.S.P. decays!
No missing energy, so reconstruct full event! Case 1: Decays into leptons:
Multi-lepton signature Case 2: Decays into jets:
Multi-jet signature Case 3: Long lifetime:
looks like RPC scenario Sparticles may be produced singly!
L.S.P. = lightest SUSY particle
6
Case 1: Lepton number violating RPV
λ’ijk couples a slepton to two quarks
Can have resonant sneutrino production Cross section can place lower bound on λ’ijk Expect to observe (within 3 years) either
900 GeV sneutrino if λ’211>0.05 350 GeV sneutrino if λ’211>0.01 (present limit: )
GeV) 100/( 60.0 ~211'
RdM
λ’ijk =0.09
Reconstructed neutralino mass peak in mjjμ invariant mass distribution
7
Case 2: Baryon number violating RPV
Each L.S.P. decays to three quarks (u,d,s) forming three jets (jjj)
Require 2 leptons and at least 8 jets: (j+jjj)+(j+ll+jjj)
Look for L.S.P. / chargino peak in mjjj / m jjjll plane
msquark L = 638 ± 5 ±12 GeV
mneutralino 2 = 212 ± 0.3 ± 4 GeV
mslepton R = 155 ± 3 ± 3 GeV
mneutralino 1 = 117 ± 3 ± 3 GeV
8
R-Parity Conservation RPC
L.S.P. stable and weakly interacting, and so “goes missing” Missing energy signature Usually incomplete event reconstruction Need to rely on long decay chains and
kinematic variables (endpoints and distributions)
Sparticles are only produced in pairs Double the trouble Missing information in BOTH halves of
event! More general techniques available!
L.S.P. = lightest SUSY particle
Half an event
9
So the main SUSY signatures are: Lots of jets Lots of leptons Lots of missing energy (RPC) ATLAS Trigger: ETmiss > 70 GeV, 1 jet>80 GeV
(or 4 lower energy jets). Gives 20Hz @ low luminosity.
RPC often seems a better option since it implies:- No proton decay- SUSY particles produced in pairs and decay to stable Lightest SUSY Particle (LSP), usually 0
1 which is stable, neutral and weakly interacting so escapes detector => large missing energy.- WMAP results indicate cold dark matter. LSP is good candidate for cold dark matter
10
SUSY and mSUGRA (1) MSSM Lagrangian depends on 105
parameters (!!) Need to make some assumption to reduce
the degree of freedom mSUGRA depends on 5 (+1) parameters
M0, M1/2, A0, tan(β), sgn(μ), mtop Assuming R parity conservation =>
escaping LSP => large ETMISS and scalar
particles produced in pairs Event cannot be fully reconstructed SUSY is a bgd to itself
Various regions in the par. space Coannihilation, Focus Point, Funnel,
Bulk region
(Ellis et al., Phys. B565 (2003) 176)
M0 (GeV) M1/2(GeV) A0 tanβ sgn(μ) mtop (GeV)
Coannihilation 70 350 0 10 + 175
Focus point 3550 300 0 10 + 175
11
One would like to break SUSY dynamically. Not possible just with MSSM; must communicate breaking in hidden sector via some interactions...Many LHC studies use mSUGRA model. Has simplest gravity mediated breaking with just 4 parameters:- Common scalar mass m0 at GUT scale;- Common gaugino mass m1/2 at GUT scale;- Common trilinear coupling parameter A0;- Common ratio tan(β) of Higgs VEV’s at weak scale. Also sign sgn(µ)=1 of Higgs mass
Must solve RGEs’ to connect GUT and weak scale masses
SUSY and mSUGRA (2)
12
Inclusive Searches: mSUGRA Reach
Discovery Assuming luminosity 1033 cm2 s-1
1300 GeV => “1 week” 1800 GeV => “1 month” 2200 Gev => “1 year”
Backgrounds: Real missing energy from SM processes with
hard neutrino (tt, W+jets, Z+jets) Fake missing energy from detector Jet energy resolution (expecially non-gaussian
tails) critical
(Fast parametric detector response)
13
SUSY Production at LHC: summary
(stau Coannihilation point)
Heavy strongly interacting sparticles (gluinos and squarks) produced in initial interaction Long decay chains and large mass differences between SUSY states; many high PT objects
are observed (lepton, jets, b-jets) If R-Parity is conserved cascade decays to stable undetected LSP (lightest SUSY particle;
neutralino in mSUGRA); large ETmiss signatures
If the model is GMSB, LSP is gravitino. Additional signatures from NLSP (next-to-lightest SUSY particle) decays; for example photons from and leptons from
If R-parity is not conserved LSP decays to 3-leptons, 2leptons+1jet, 3 jets; ETmiss signature is
lost
lqql
g~ q~ l~~
~p p
14
Squark/gluon mass scale
(GeV)effM
even
ts
Signal
S.M. BackgroundPeak of Meff distribution correlates well with SUSY scale “as defined above” for mSUGRA and GMSB models. (Tovey)
What you measure:
The Missing Transverse Energy Variable Can only apply momentum conservation in
the plane transverse to the beam. Measure apparent imbalance in final state
using calorimetry (+ muons) 'ETmiss'.
SUSY selection: high-pT jets, large ETmiss and (possibly) isolated leptons.
ETmiss gives excellent discrimination against most SM processes.
Remaining background from events with neutrinos – W/Z + jets, tt, bb.
QCD: from in bb and cc events. Also huge event rate means rare effects due to imperfections in detector can be significant.
Typical SUSY cuts: NJets >= 4 pT(j1) > 100GeV, pT(j4) > 50GeV ETmiss > 100GeV Transverse Sphericity ST > 0.2 0 leptons
ATLAS preliminary(ATLFAST)
Reconstructing ETmiss ETmiss calculated from vector sum over calorimeter cells plus contribution
from muons corrected for energy loss in calorimeter. Noise cells removed with topological clustering algorithm. Cells calibrated with H1 style weights (low energy density cells up-weighted
to compensate for invisible processes in hadronic showers).
ATLAS preliminary
Resolution scales with square root of scalar sum ET :
(ETmiss) ~ 0.5 √ETsum
17
Importance of detailed detector understanding
GEANT simulation already shows events with large missing energy Jets falling in “crack” region Calorimeter punch-through
Vital to remove these in missing energy tails
Large effort in physics commissioning
Lesson from the TevatronEt(miss)
Dealing With Backgrounds In addition to jet and ETmiss cuts,
apply additional cuts to reduce certain backgrounds number of isolated
leptons Meff = ETmiss + ∑pT
jets
Ability to reliably estimate backgrounds is vital to demonstrate excess in signal region.
Systematics from Monte Carlo likely to be large, so try to estimate from data wherever possible particularly important with early data.
Meff (GeV)
1 lepton
W/Z + jets Significantly reduce Z → and W
backgrounds with 1 lepton requirement and mT(l, ETmiss) > mW cut at expense of statistics.
Background now dominated by tops.
ATLAS
Preliminary
(Zll)
Estimate Z → in 0 leptons case by using Z → ll data, replacing lepton pT with ETmiss.
Can use same channel to obtain estimate for W → l.
Meff (GeV)
0 leptons
Top Background(1) For tt → bblqq, can reduce background with transverse mass cut. Then tt → bbllqq becomes the dominant background in the 1 lepton channel.
To obtain estimate: select semi-leptonic top events from a mass window around the top mass (mt = 140 – 200GeV).
Subtract combinatorial background using sideband (mt = 200 – 260GeV).
Top
Mas
s (G
eV)
ATLASPreliminary
T1
sideband
signal
Missing ET (GeV)
Get estimate for semi-leptonic top ETmiss distribution.
ATLASPreliminary
EstimateSUSY selection
21
T2 + SU3
NNobsobs(w SUSY) = 503 (w SUSY) = 503 22 22 NNestestimationimation (w/o SUSY) = 7 (w/o SUSY) = 7 35 35
InIn high M high Missing Eissing ETT region region ( (>500GeV)>500GeV)
Clear excesss (13)!the method proved to be the method proved to be validvalid
Estimating the top bkg from ‘real data’ looks promising...
EstimateSUSY selection (top)SUSY selection (total)
Estimating the precision with1 year statistics at low lumi. (10fbEstimating the precision with1 year statistics at low lumi. (10fb-1-1) ) [ [ using high Pt validation sample (top Pt>500GeV) ]using high Pt validation sample (top Pt>500GeV) ]
Missing ET (GeV)
ATLAS preliminary
Top Background(2)
QCD (1) Two main sources:
fake ETmiss (gaps in acceptance, dead/hot cells, non-gaussian tails etc.)
real ETmiss (neutrinos from b/c quark decays)
Hard to estimate with Monte Carlo depends on details of detector
response need large statistics to get into tails
1 lepton requirement minimises contribution may be best until detector is well
understood (real/fake?) Can reduce contribution by cutting on
correlations in between the leading jets and ETmiss, jets pointing at poorly instrumented regions of the detector etc...
Pythia dijets
SUSY SU3
QCD (2) To obtain estimate : Step 1: Measure jet smearing function
from data Select events: ETmiss > 60
GeV, (ETmiss, jet) < 0.1 Estimate pT of jet closest to
ETmiss as pT
true-est = pTjet + ETmiss
ATLAS preliminary
MET
jets
fluctuatingjet
QCD est (stat errors only) SUSY
ATLAS preliminary
Step 2: Smear low ETmiss multijet
events with measured smearing function.
Technique does not work in low ETmiss region (gaussian jet response), but gives good agreement in tails (SUSY signal region!)
22pb-1
24
SUSY Cut Optimization
m(m() ) (~0.4m(~0.4m1/21/2) ) is heavieris heavier,, thusthus optimal missing E optimal missing ETT becomesbecomes higher higher (less sensitive to M (less sensitive to M00))
Similarly tunes for,Similarly tunes for,● the best the best 11stst jet energy jet energy cutcut● the best the best 22ndnd jet energy jet energy cut cut ● the best the best 44thth jet energy jet energy cutcutalso carried out also carried out simultaneously simultaneously Achieve the optimal SUSY Achieve the optimal SUSY cut for each grid pointcut for each grid point
[Z axis] Best Missing E[Z axis] Best Missing ET T Cut (GeV)Cut (GeV)
m1/2 (GeV)
m 0 (Ge
V)
Scan through the mSUGRA parameter grid (mScan through the mSUGRA parameter grid (m1/21/2, m, m00 plane) plane)Optimize the SUSY cut to maximize the signal significanceOptimize the SUSY cut to maximize the signal significanceFixed parameters: tanb = 10, A=0, Fixed parameters: tanb = 10, A=0, >0>0
ATLAS preliminary
25
Discovery Potential Fast simulation resultSignal : Isawig/Jimmy
5-5- discovery potential on m discovery potential on m00-m-m1/21/2 plane plane
100pb-1
m1/2
400
800
1200
m01500500
1fb-1
m1/2
400
800
1200
1500500 m0
0-lepton x1-lepton +
BackgBackgrround is ound is re-examinedre-examined by Matrix Element calc by Matrix Element calc (ALPGEN)(ALPGEN)
0-lepton mode : More statistics is available0-lepton mode : More statistics is available 1-lepton mode : smaller 1-lepton mode : smaller systematic systematic uncertaintyuncertainty
m(g)~1m(g)~1.1.1TeVTeVm(q)~1m(q)~1.1.1TeVTeV
~~ m(g)~0.8TeVm(g)~0.8TeV
m(q)~1.5TeVm(q)~1.5TeV
~~
m(g)~1.6TeVm(g)~1.6TeVm(q)~1.5TeVm(q)~1.5TeV~
~m(g)~1TeVm(g)~1TeVm(q)~1.6TeVm(q)~1.6TeV~
~
tan=10,>0 tan=10,>0
0-lepton x1-lepton +
MMSUSYSUSY<1.1TeV at L=100pb<1.1TeV at L=100pb-1-1
MMSUSYSUSY<1.5TeV at L=1fb<1.5TeV at L=1fb-1-1
The discovery potential for the early dataThe discovery potential for the early data
ATLAS preliminary
ATLAS preliminary
26
Kinematic edges: l+l- edge
EXAMPLE: l+l- edge
The l+l- invariant mass from the decay chain (right) has a kinematic endpoint.
For 100 fb-1, edge measured at 109.10±0.13(stat) GeV
Dominant systematic error on lepton energy scale also ~0.1%
Maximum dilepton invariant mass is related to sparticle masses
27
Plenty of other kinematic endpoints! RPC
Sequential
Branched
28
Edge
pos
ition
s
29
Mass reconstruction: a typical decay chain
llq edge1% error(100 fb-1)
lq edge1% error(100 fb1)
ll edge llq threshold
The invariant mass of each combination has a minimum or a maximum which provides one constraint on the masses of l q
~~ ~~
ATLAS Fast simulation, LHCC Point 5ATLAS TDR ATLAS TDR ATLAS TDR ATLAS TDR
lqql
g~ q~ l~~
~p p
30
Dilepton EdgePolesello et al., 1997
Clear signature, easy to trigger: starting point of many mass reconstruction analyses.
Can perform SM & SUSY background subtraction using OF distribution
e+e- + +- - e+- - +e-
Position of edge (LHC Point 5) measured with precision ~ 0.5% (30 fb-1).
~~~
l ll
e+e- + +- e+e- + +- - e+- - +e-
30 fb-1
atlfast
5 fb-1
FULL SIM
Physics TDR
ATLAS ATLASPoint 5
Modified Point 5 (tan() = 6)
Mll (GeV) Mll (GeV)SUSY backgSM backg
31
Model-independent masses Combine measurements from edges of different jet/lepton combinations to
obtain ‘model-independent’ mass measurements. LSP mass uncertainty large, all other masses strongly correlated with it. A
future Linear Collider measurement of mass would improve the precision on all masses.
Sparticle Expected precision (100 fb-1) qL 3% 0
2 6% lR 9% 0
1 12%
~
~
~
~
lR
qL
~~
~ ~
masses (GeV) LHCC5 SPS1am( 122 96
m(lR) 157 143
m( 233 177
m(qL) 687-690 537-543
~~
~
~ATLAS
32
Mass peaks The 4-momentum of the can be
reconstructed from the approximate relation
p(= ( 1-m(m(ll) ) pll
valid when m(ll) near the edge. The can be combined with b-jetsto reconstruct the gluino and sbottom mass peaks from g→bb→bb
~
~
CMS 1 fb-1
m(q= (536 ± 10) GeV
CMS 10 fb-1
m(g= (500 ± 7) GeV
m(g)-m(b2) = (70.6 ± 2.6) GeVm(g)-m(b1) = (103.3 ± 1.8) GeVm(g)-0.99m(= (500.0 ± 6.4) GeV
SPS1a, 300 fb-1, stat. errors only:
ATLAS SPS1a300 fb-1
ATLAS SPS1a300 fb-1
m(bb) (GeV)
m(bb)-m(b) (GeV)
~~~
~~
~ ~
33
Other mass measurements
Right squark
ATLAS 30 fb-1
ATLAS 30 fb-1
2 hard jets and lots of ETmiss.
Reconstruct with
Also works for sleptons.m(qR)-m(= (424.2 ± 10.9) GeV
qR 01q
Two body decay of 02 to
higgs and 01.
Reconstruct higgs mass (2 b-jets) and combine with hard jet.
Get additional mass constraint.
qL q → hq →01bbq
Tau decay dominates neutralino BR at large tan.No sharp edge because of n, but end-point canstill be measured.
~ ~ ~
~
MT2 (GeV) M(bbq) (GeV) M() (GeV)
ATLAS Point 5 100 fb-1
34
From masses to model parametersFrom a given set of measurements one scans the parameter space and finds the points compatible with data. These points are fed to relic density calculators to get constraints on relic density.
ATLAS measurements
Parameter Expected precision (300 fb-1) m0 2% m1/2 0.6% tan() 9% A0 16%
Micromegas 1.1 (Belanger et al.)+ ISASUGRA 7.69
h2
300 fb-1
ATLAS
h2 = 0.1921 0.0053 log10(p/pb) = -8.170.04
35
Full simulation studies
• Goals: test software for data reconstruction and analysis, computing grid production. Study detector-related systematic. Validate fast simulation results.• 10M events produced in 2005.• Five mSUGRA models studied. Focus on cosmologically interesting regions.
Focus Point
Coannihilation
Bulk
LEP excluded No EWSB
SU1
SU2
SU3
36
Full simulation results – SU3
(e+e-) + β2(η) (μ+μ-) – β(η) (e+μ-)
ATLAS Preliminary4.37 fb-1
ATLAS Preliminary4.20 fb-1
ATLAS Preliminary4.20 fb-1
Larger of M(llq)
Smaller of M(llq)
Edge at 99.8 ± 1.2 GeV
lqql
g~ q~ l~~ ~p p
Already with a few fb-1 of data several edges are visible.All results preliminary.
272 GeV
501 GeV
37
Coannihilation (SU1)
ATLAS PreliminaryFull Sim. 20 fb-1
ll edge
ATLAS PreliminaryFull Sim. 20 fb-1
qR edge
ATLAS PreliminaryFull Sim. 20 fb-1
ql(min) edgeql(max) edge
qll edge qll threshold
~
38
Focus-Point (SU2)
SUSY Scalars heavy (3 TeV) - only fermions (gluino, chargino, neutralino) accessible to LHC
Fast discovery, kinematical edges require larger statistics.
ATLAS PreliminaryFull Simulation 6.9 fb-1
ATLAS PreliminaryFast Sim. 300 fb-1
Mll (GeV) Mll (GeV)
01
03 ll
01
02 ll
SU2 SUSY production is: (direct) (4.5 pb)Do not pass cuts to reject SM(little jets & ET
miss) gg →+jets (0.5 pb)Can be separated efficiently from SM
2.6 excess
~~
39
SUSY Summary
SUSY is a very good candidate for early discovery at the LHC If TeV scale SUSY exists, ATLAS and CMS should find it The large variety of signals available in SUSY challenges the performance
of the detectors in all sectors of the collider SUSY discovery is possible in other models which I have not covered here:
Gauge Mediated Supersymmetry Breaking (GMSB) Anomaly Mediated Supersymmetry Breaking (AMSB) R-Parity Violation
Currently great effort in Data Challenges to understand different mSUGRA model points, and to test reconstruction software
Work going on not to miss any new physics signatures at the LHC!
40
Mapping out the new world
Some measurements make high demands on: Statistics (=> time) Understanding of detector Clever experimental technique
LHC Measurement SUSY Extra Dimensions
Masses Breaking mechanism Geometry & scale
Spins Distinguish from ED Distinguish from SUSY
Mixings,Lifetimes
Gauge unification?Dark matter candidate?
41
SUSY spin measurementsNeutralino spin from angles in decay chains
l+~
θq q
_
l-~
Slepton spin from angles in Drell-Yan production
The defining property of supersymmetry Distinguish from
e.g. similar-looking Universal Extra Dimensions
Difficult to measure @ LHC No polarised
beams Missing energy Inderminate initial
state from pp collision
Nevertheless, we have some very good chances…
42
Dark matter relic density consistency?
Use LHC measurements to “predict” relic density of observed LSPs
Caveats: Cant tell about lifetimes beyond
detector Studies done so far in optimistic
case (light sparticles)
To remove mSUGRA assumption need extra constraints:
1. All neutralino masses Use as inputs to gaugino &
higgsino content of LSP2. Lightest stau mass
Is stau-coannihilation important?
3. Heavy Higgs boson mass Is Higgs co-annihilation
important? More work is in progress
Probably not all achievable at LHC ILC would help lots (if in reach)
mSUGRA
assumed
43
R-hadrons
Motivated by e.g. “split SUSY” Heavy scalars Gluino decay through heavy
virtual squark very suppressed
R-parity conserved Gluinos long-lived
Lots of interesting nuclear physics in interactions Charge flipping, mass
degeneracy, … Importance here is that signal is
very different from standard SUSY
44
R-hadrons in detectors Signatures:
1. High energy tracks (charged hadrons)
2. High ionisation in tracker (slow, charged)
3. Characteristic energy deposition in calorimeters
4. Large time-of-flight (muon chambers)
5. Charge may flip Trigger:
1. Calorimeter: etsum or etmiss2. Time-of-flight in muon system
– Overall high selection efficiency Reach up to mass of 1.8 TeV at
30 fb-1
GEANT simulation of pair of R-hadrons
(gluino pair production)
45
RS Gravitons & heavy bosons
Discovery Find mass peak
Characterisation Measure spin
1.5 TeV Randall-Sundrum graviton -» e+e-
Randall -Sudrum graviton spin
pp
θ
gravitone
e
Graviton is spin-2
Angular distributions
46
Exotic WW scattering The ultimate test of electroweak symmetry breaking
Not unitary above ~1 TeV if no new physics
Reconstruct hadronic + leptonic W pair
Require forward jets Veto jets in central regionsignal
BG BG
Most difficult case: continuum signal
5- significance with 30 fb-1 in most difficult case
47
Spectacular states : micro Black Holes
Large EDs Micro black hole decaying via
Hawking radiation Photons + Jets + …
We will certainly know something funny is happening Large multiplicities Large ET Large missing ET Highly spherical
compared to BGs Theory uncertainty limits
interpretation Geometrical information difficult
to disentangle
sphericity
48
Black hole interpretation?
Slide from Lester
49
Micro Black Holes
σ ~ πRS2 ~ O(100)pb
LHC Black Hole Factory BH lifetime ~ 10-27 – 10-25 seconds! Decays with equal probability to all particles via Hawking Radiation Follows almost black body spectrum
Parton
PartonHarris, Palmer, Parker, Richardson, Sabetfakhri, Webber[JHEP05 (2005) 053]
6.1 TeV MBH
J. Tanaka , “Search for Black Holes”, 24/05/03 Athens
)1/(1
141
nBHBH
H Mn
RnT
2
2cGMR BH
s
MBH = √S
Rs
Formation
Decay
50
Micro Black HolesDistinguishingfeatures High Multiplicity High ΣET High Sphericity High Missing PT Democratic Decay
If Mpl ~ O(1 TeV) Black Hole Production possible at LHC
Sensitivity Dominated byTheoretical uncertainty
51
Extra DimensionsNot a new idea (1920’s)
Kaluza and Klein tried to unify Electro-magnetism and General Relativity
Undergoing a RevivalAccess to Extra Dimensions can be restrictedCan Solve Hierarchy problem
Mpl is only an effective scaleNew fundamental scale Mf
Essential for String TheoryCan be compactified
Bulk
Brane
52
Large Extra DimensionsADD Extra Dimensions are flat Only accessible to Gravity SM particles restricted to 4D Brane Could be as large as 0.1mm
Generates Tower of KK gravitons Coupling proportional to 1/Mpl Mass splitting ~ 1/R Observe a continuum of graviton states
Flat
4D
spa
ce
Extra Dimension
22
222
nx PP
mPE
Extra dimensional momentum looks like a mass
53
Large Extra DimensionsDi-photon/leptonKabachenko, Miagkov, Zenin[ATL-PHYS-2001-012] virtual graviton exchange Tower of KK gravitons Measure invariant mass of
photon/lepton pair Min invariant mass cut
extends reach
Enhancement of di-photon
Sensitivity @ 100fb-1 5σ for Mf 6.3-7.9 TeV
SM
Mf = 4.7 TeV
Mf (GeV)
Signal
5σ discovery bounds
100fb-1
10fb-1
54
Warped Extra DimensionsRandall Sundrum (type I)
Randall, Sundrum [PRL 83 (1999) 3370]
Brane metric scales as function of bulk position
Solves Hierarchy problem using warp factor
Small extra space dimensions Well separated graviton mass
spectrum
222 dydxdxeds vuuv
ky
Graviton Mass Spectrum eeG*µµ
Bulk (y)
TeV
Plank
hep-ph/0205106plMkCharacterized by
55
Warped Extra Dimensions
ATLAS is able to explore the entire allowed region
10fb-1
100fb-1
hep-ph/0205106
Allowed Region
56
Warped Extra DimensionsG*e+e-
Allanach, Odagiri,Palmer,Parker Sabetfakhri,Webber[JHEP09(2000)019][JHEP12(2002) 039] Graviton
Produced in kk spectrum
Looked for 1st KK mode Studied models with
narrow resonance
Sensitivity @ 100fb-1 5σ up to MG 2.08TeV
σ.B
(fb)
57
Universal Extra Dimensionsσ for KK pair production
vs mass of KK modeBeauchemin, Azuelos
[ATL-PHYS-PUB-2005-03]
SM particles propagate in Extra Dimensions can move in small Extra
dimensions Often embedded in large
Extra DimensionsKK parity
similar effect to R-Parity conserved at Tree level KK particles always in pairs no virtual KK particles
KK parity conservation means limits on UED are
much weaker
100 events @ 100fb-1
58
UED: KK quark/gluon di-jetBeauchemin, Azuelos [ATL-PHYS-PUB-2005-03]
Direct KK mode production only
Measure excess of dijets with large missing ET
Assume all KK modes decay to gravitons (invisible)
Sensitivity @ 100 fb-1 5σ up to 2.7 TeV
Significance vs KK particle
mass
ET miss (GeV)
Signal
BGCut
200 600 1000 1400
59
UED: KK gluons Heavy quarksg* bb/ttMarch, Ros, Salvachua [ATL-PHYS-PUB-2006-002]
Only produce hadronic decays Tag Heavy quark decays Excess of di-jetsb-quark decays difficult to detect t-quark channel provides clearest signal
Mg* 1TeV
Sensitivity @ 100fb-1
5σ Mg* up to 3.3TeV
Significance vs g* mass
60
Exotics Summary
5σ discoveries with 100fb-1
ADD fundamental Mpl up to 7-8 TeV RS graviton up to 2.08 TeV UED KK particles up to ~3 TeV If Micro Black Holes are produced we will know!
A lot of topics not covered (Z’ for one..) but the ATLAS activities are copious indeed...
Whatever else might be out there remains to be seen...