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Transcript of Beyond the SM: Tevatron Results & Potential
Beyond the SM: Tevatron Results & Potential
Greg Landsberg
Prague LHC WorkshopJuly 10, 2003
Way
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
2
Outline
Life Beyond the Standard Model
New Physics’ Many Faces
The Tevatron Lessons
Run II Stats
Beyond SUSY
More Fun in Extra Dimensions
Conclusions
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
3
Life Within the Standard Model
…is boringly precise: …but not at all boring:– SM accommodates, but does not explain:
EWSB CP-violation Fermion masses
– Higgs self-coupling is positive, which leads to a triviality problem that bounds mH from above
– The natural mH value is , where is the scale of new physics; if SM is valid up to GUT scale, an extreme ((v/mGUT)2) fine-tuning is required
v MGUT MPl
GravitationalForce
E [GeV]
EM/HyperchargeForce
Weak Force
Strong ForceInvers
e S
treng
th
RGE equations
1016102 1019
Direct
MH < 211 GeV @ 95% CL(Combined EW fit)
MH > 113.5 GeV @ 95% CL
(LEP2, up to 209 GeV)
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
4
New Physics’ Many Faces
Supersymmetry– mSUGRA like– Gauge MSB– Gaugino MSB– Anomaly MSB
Strong Dynamics– Technicolor– Top See-Saw– Compositeness
Exotics– Leptoquarks– Extra gauge bosons
Extra Dimensions– Large/Infinite Volume Extra Dimensions– Warped Extra Dimensions– Universal Extra Dimensions
Something COMPLETELY unexpected
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
5
Searches for New Physics
Electroweak/Heavy Flavor/QCD Physics:– Most properties are well known– Mainly precision measurements
Higgs physics:– Most signatures are known– A few free parameters– Well-defined search strategy
Searches for New Physics:– Do not even know what it is and where it is
Little doubt exists that it must be there, maybe just around the corner– Only vague ideas about signatures
Many channels, many possibilities of statistical fluctuations Might not be possible to use ‘cousin channels’ as a discovery proof
(e.g., RPV SUSY)– An ultimate challenge and an ultimate prize!
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
6
Searches at the Tevatron
The Tevatron energy might or might not be in the right range for new physics discovery
– Perhaps with the exception of minimal technicolor models, the LHC is really the machine for ultimate test
– Instead of giving you a review of full capabilities of the Tevatron in all possible channels we use for searches, I’ll give you my personal view on the most promising discovery channels at the Tevatron
Consider both targeted and signature-based searches to cover all the bases
– A few hints from Run I: eeMET, e + X “top” events, etc.– Importance of b’s and ’s– New physics in top production and decay– “Grand finale” model-independent searches a la Sleuth [DØ, PRD
62, 92004 (2000); PRL 86, 3712 (2001); PRD 64, 012004 (2001)]
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
7
The Tevatron Lessons
The upgraded Tevatron with 10% higher energy still has not crossed new energy threshold, so it’s unlikely that NP would appear as “spectacular events,” such as copious SUSY or black hole production
– Need to be patient It’s likely that NP will manifest itself first as a marginal event excess in
a number of related channels– Need for optimal combination of various channels to reach the discovery
significance (cf. Higgs) It’s likely that NP will be overwhelmed by the SM backgrounds in the
channels of interest– Need reliable background calculation tools and advanced methods of
background suppression, while retaining high sensitivity for the signal It’s given that with the complexity of modern detectors, particle ID is
based on a large number of variables– Need for advanced multivariate particle ID techniques
It’s possible that NP searches would require special triggers– Need for fast triggering methods in a complex environment
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
8
Run II Detectors
Significantly upgraded experiments with three major subdetectors:
• Hermetic Calorimeters• Central Tracker• Muon Detectors
CDF
DØ
Multiple detectors – multiple handles:• EM: calorimetry, preshowers, (tracking, ionization) • Muons: central and outer tracks, ionization, calorimetry• ’s: tracking, calorimetery• Jets: tracking, calorimetry
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
9
Tevatron Reach for New Physics
A rule of thumb: for pair production of heavy objects cross section drops by a factor of 2 for every 20 GeV in the object mass:
– 2 fb-1 effective x30 in accumulated statistics (higher energy, efficiency)– 10 fb-1 effective x150 in accumulated statistics – Constant S/√B (statistics-limited case):
Run IIa: 20 GeV x log230 or 100 GeV increase in the mass reach Run IIb: 20 GeV x log2150 or 145 GeV improvement in the mass reach
Nowadays mass limits are ~100 GeV thus Run IIa will double the phase space probed; Run IIb will add only additional 20%
– If I were to bet if the Tevatron is going to see NP, I’d bet on Run IIa; if we do not see any evidence with ~2 fb-1, it’s likely that the Tevatron is simply not in the right energy range to probe it
Note: if the error on the background is systematics-limited, the reach compared to Run I does not improve at all, as S/B = S/(aB) const:
– Some backgrounds can be measured from data; thus guaranteeing B ~ 1/√∫Ldt, but not all of them!
– Desperate need for NkLO (k ≥ 1) Monte Carlo for accurate SM background description!
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
10
Tevatron Lesson: the Monte Carlo
In a perfect world…– MC is as glamorous as your
detector (often not built yet!)– You can bet on it!– Who needs the data?!!
In the real world…– Only a schematic description– Lack of non-Gaussian effects– The GIGO effect
Do not rely on MC – it will look quite different from the actual data taken with the new detectors; we witnessed this in both Run I and Run II
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
11
Fast Monte Carlo – A Good Compromise?
Parametric fast MC:– Is flexible and tunable with real data– Easily interfaced with modern event generators– Able to generate large samples of events on a short time scale
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
12
Run II Stats
1/8 of the expected Run IIa statistics (2 fb-1) have been delivered already; most of it in the last few months
Data taking efficiency is ~90% for both the CDF and DØ collaborations
EPS’03 and LP’03 results will break the new level of statistics, exceeding those in Run I
While the future of the Tevatron upgrade became uncertain recently, we are proceeding with an aggressive upgrade schedule with the shutdown planned in about 2 years to replace the silicon detectors
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
13
Search for Exotics at the Tevatron
It’s a long shot, as signatures are often not clear and physics motivation is frequently questionable
– “To find Exotica, call 1-800-EXOTICA” - WNUA , Chicago Technicolor models have been restricted significantly by
LEP (both direct searches and precision measurements)– Run II should confirm or exclude simplest versions of technicolor
and topcolor models Additional gauge bosons and leptoquarks:
– Come in many SM extensions, particularly in GUTs; however, they do not solve SM problems per se
– Significantly constrained by the LEP precision electroweak data Massive Slow-Moving Particles
– Limited motivation (need high degeneracy or exotic particles)– Both collaborations utilize TOF and dE/dx to perform searches
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
14
Searches for Extra Gauge Bosons
Example: Z’ searches– Current limits ~700 GeV– Run II sensitivity ~1 TeV– Not a significant extension of
the parameter space
M > 620 GeV (DØ)M > 665 GeV (CDF)
SM-like Z’ couplings
E6 Z’ couplings
∫Ldt ~ 40 pb-1
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
15
Searches for Leptoquarks
A lot of excitement 6 years ago, due to reported HERA high-Q2 event excess Interest largely evaporated since the LQ interpretation of HERA result was
shown to be wrong by the Tevatron Nevertheless, searches are under way, and expected Run II sensitivity
extends to 300-350 GeV for scalar LQ’s
CDF Run II: MLQ1 > 230 GeV DØ Run II: MLQ2 > 157 GeV
∫Ldt = 30 pb-1
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
16
More Fun in Extra Dimensions
Caveat: the large hierarchy of scales picture is based solely on the log extrapolation of gauge couplings by some 14 decades in energy
– How valid is that?
1998: abstract mathematics meets phenomenology: extra spatial dimensions have been first used to:
– “Hide” the hierarchy problem by making gravity as strong as other gauge forces in (4+n)-dimensions (Arkani-Hamed, Dimopoulos, Dvali)
– Explore modification of the RGE in (4+n)-dimensions to achieve low-energy unification of the gauge forces (Dienes, Dudas, Gherghetta)
Burst of ideas to follow:– 1999: possible rigorous solution of the
hierarchy problem by utilizing metric of curved anti-deSitter space (Randall, Sundrum)
– 2000: “democratic” (universal) extra dimensions, equally accessible by all the SM fields (Appelquist, Chen, Dobrescu)
– 2001: “contracted” extra dimensions – use them and then lose them (Arkani-Hamed, Cohen, Georgi)
All these models result in rich low-energy phenomenology
MZ MGUTMS M’GUT
GravitationalForce
logE
EM/HyperchargeForce
Weak Force
Strong Force
Real GUT Scale
VirtualImage
Invers
e S
tren
gth
M’Pl
MPl=1/GN
~ 1 TeV
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
17
Math Meets Physics
Math physics: some dimensionalities are quite special Example: Laplace equation in two dimensions has
logarithmic solution; for any higher number of dimensions it obeys power law instead
Some of these peculiarities exhibit themselves in condensed matter physics, e.g. diffusion equation solutions allow for long-range correlations in 2D-systems (cf. flocking)
Modern view in topology: one dimension is trivial; two and three spatial dimensions are special (properties are defined by the topology); any higher number is not
Do we live in a special space, or only believe that we are special?
One of the most innovating and exciting recent ideas, yet barely tested experimentally!
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
18
Using the Extra Dimension Paradigm
EWSB from extra dimensions:– Hall, Kolda [PL B459, 213 (1999)]
(lifted Higgs mass constraints)– Antoniadis, Benakli, Quiros [NP B583,
35 (2000)] (EWSB from strings in ED)– Cheng, Dobrescu, Hill [NP B589, 249
(2000)] (strong dynamics from ED)– Mirabelli, Schmaltz [PR D61, 113011
(2000)] (Yukawa couplings from split left- and right-handed fermions in ED)
– Barbieri, Hall, Namura [hep-ph/0011311] (radiative EWSB via t-quark in the bulk)
Flavor/CP physics from ED:– Arkani-Hamed, Hall, Smith, Weiner
[PRD 61, 116003 (2000)] (flavor/CP breaking fields on distant branes in ED)
– Huang, Li, Wei, Yan [hep-ph/0101002] (CP-violating phases from moduli fields in ED)
Neutrino masses and oscillations from ED:
– Arkani-Hamed, Dimopoulos, Dvali, March-Russell [hep-ph/9811448] (light Dirac neutrinos from right-handed neutrinos in the bulk or light Majorana neutrinos from lepton number breaking on distant branes)
– Dienes, Dudas, Gherghetta [NP B557, 25 (1999)] (light neutrinos from right-handed neutrinos in ED or ED see-saw mechanism)
– Dienes, Sarcevic [PL B500, 133 (2001)] (neutrino oscillations w/o mixing via couplings to bulk fields)
Many other topics from Higgs to dark matter
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
19
The ADD Model
SM fields are localized on the (3+1)-brane; gravity is the only gauge force that “feels” the bulk space
What about Newton’s law?
Ruled out for flat extra dimensions, but not for sufficiently small compactified extra dimensions:
Flat Dimension
Com
pact
Dim
ensi
on
1
2123
212
11
nnn
PlPl r
mm
Mr
mm
MrV
Rr
rR
mm
MrV
nnnPl
for
1 2123
Gravity is fundamentally strong force, bit we do not feel that as it is diluted by the volume of the bulk
G’N = 1/MD2; MD 1
TeV
More precisely, from Gauss’s
law:
Amazing as it is, but no one has tested Newton’s law to distances less than 1mm (as of 1998)
Thus, the fundamental Planck scale could be as low as 1 TeV for n > 1
nPl
nD RMM 22
4 ,106
3 , 3
2 , 7.0
1 ,108
2
1
12
12
/2
nm
nnm
nmm
nm
M
M
MR
n
D
Pl
D
2]3[/1 nPlM
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
20
Collider Signatures for Large ED
Kaluza-Klein gravitons couple to the momentum tensor, and therefore contribute to most of the SM processes
For Feynman rules for GKK see:– Han, Lykken, Zhang, PR D59, 105006
(1999)– Giudice, Rattazzi, Wells, Nucl. Phys.
B544, 3 (1999) Since graviton can propagate in the bulk,
energy and momentum are not conserved in the GKK emission from the point of view of our 3+1 space-time
Depending on whether the GKK leaves our world or remains virtual, the collider signatures include single photons/Z/jets with missing ET or fermion/vector boson pair production
If the energy is above Planck scale, copious black hole production is inevitable
Real Graviton EmissionMonojets at hadron colliders
GKK
gq
q GKK
gg
g
Single VB at hadron or e+e- colliders
GKK
GKK
GKK
GKK
V
VV V
Virtual Graviton Emission Fermion or VB pairs at hadron or e+e- colliders
V
V
GKKGKK
f
ff
f
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
21
Virtual Graviton Effects
In the case of pair production via virtual graviton, gravity effects interfere with the SM (e.g., l+l- at hadron colliders):
Therefore, production cross section has three terms: SM, interference, and direct gravity effects
The sum in KK states is divergent in the effective theory, so in order to calculate the cross sections, an explicit cut-off, MS, is required
An expected value of the cut-off is MD, as this is the scale at which the effective theory breaks down, and the string theory needs to be used to calculate production
– Direct emission and virtual effects are complementary methods of probing ADD model
Unfortunately, a number of similar papers calculating the virtual graviton effects appeared simultaneously
Hence, there are three major conventions on how to write the effective Lagrangian:
– Hewett, Phys. Rev. Lett. 82, 4765 (1999)– Giudice, Rattazzi, Wells, Nucl. Phys.
B544, 3 (1999); revised version, hep-ph/9811291
– Han, Lykken, Zhang, Phys. Rev. D59, 105006 (1999); revised version, hep-ph/9811350
Fortunately (after a lot of discussions and revisions) all three conventions turned out to be equivalent and only the definitions of MS are different:
M,cosfM
nbM,cosf
M
nadMcosd
d
dMcosd
d
*
S
*
S
*SM
*
2814
22
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
22
Tevatron Searches
High-mass, low |cos| tail is a characteristic signature of LED [Cheung, GL, PRD 62 076003 (2000)]
2-dimensional method resolves this tail from the high-mass, high |cos| tail due to collinear divergencies in the SM diphoton production
Best limits on the effective Planck scale come from the DØ Run I data:
– MS(Hewett) > 1.1/1.0 TeV () T(GRW) > 1.2 TeV– MS(HLZ) > 1.0-1.4 TeV (n=2-7)
Similar limits already set with Run II data
New 120 pb-1 analysis out next week! Sensitivity in Run II and at the LHC
(HLZ, from [Cheung, GL, PRD 62 076003 (2000)])
50 pb-1
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
23
Hadron Colliders: Graviton Emission
qq/gg q/gGKK – jets + MET final state– Z()+jets is irreducible
background– Challenging signature due to
large instrumental backgrounds from jet mismeasurement, cosmics, etc.
– DØ pioneered this search in Run I and set limits [PRL 90, 251802 (2003)] MD > 0.7-1.0 TeV
– CDF just announced similar preliminary limits
qq GKK–
+MET final state– CDF search [PRL 89, 281801
(2002)] set limits between 500 and 600 GeV
Theory:[Giudice, Rattazzi, Wells, Nucl. Phys. B544, 3 (1999) and corrected version, hep-ph/9811291][Mirabelli, Perelstein, Peskin, PRL 82, 2236 (1999)]
n MD reach, Run I
MD reach, Run II
MD reach, LHC 100 fb-1
2 1100 GeV 1400 GeV 8.5 TeV
3 950 GeV 1150 GeV 6.8 TeV
4 850 GeV 1000 GeV 5.8 TeV
5 700 GeV 900 GeV 5.0 TeV
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
24
Intermediate-size extra dimensions with TeV-1 radius
Introduced by Antoniadis [PL B246, 377 (1990)] in the string theory context; used by Dienes/Dudas/ Gherghetta [PL B436, 55 (1998)] to allow for low-energy unification
– SM gauge bosons can propagate in these extra dimensions
– Expect ZKK, WKK, gKK resonances
– Effects of the virtual exchange of the Kaluza-Klein modes of vector bosons at lower energies
Gravity is not included in this model Antoniadis/Benaklis/Quiros [PL B460,
176 (1999)] – direct excitations; require LHC energies
[ABQ, PL B460, 176 (1999)]
IBQ ZKK
TeV-1 Extra Dimensions
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
25
Current Limits on TeV-1 ED
From Cheung/GL [PRD 65, 076003 (2002)]
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
26
Tevatron Tests in Run II
We expect the dijet and DY production to be the most sensitive probes of TeV-1 extra dimensions
The 2D-technique similar to the search for ADD effects in the virtual exchange yields the best sensitivity in the DY production [Cheung/GL, PRD 65, 076003 (2002)]
Similar (or slightly better) sensitivity is expected in the dijet channel; detailed cuts and NLO effects need to be studied
Run IIb could yield sensitivity similar to the current limits from indirect searches at LEP
These tests are complementary in nature to those via loop diagrams at LEP
From Cheung/GL [PRD 65, 076003 (2002)]
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
27
Randall-Sundrum Scenario
Randall-Sundrum (RS) scenario [PRL 83, 3370 (1999); PRL 83, 4690 (1999)]
– Gravity can be localized near a brane due to the non-factorizable geometry of a 5-dimensional space
– + brane (RS) – no low energy effects– +– branes (RS) – TeV Kaluza-Klein
modes of graviton– ++ branes (Lykken-Randall) – low
energy collider phenomenology, similar to ADD with n=6
– –+– branes (Gregory-Rubakov-Sibiryakov) – infinite volume extra dimensions, possible cosmological effects
– +–+ branes (Kogan et al.) – very light KK state, some low energy collider phenomenology
G
Planck branex5
SM brane
Davoudiasl, Hewett, Rizzo PRD 63, 075004 (2001)
Drell-Yan at the LHC
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
28
Current Constraints
Neither gravity experiments, nor cosmology provide interesting limits on most of the RS models
Existing limits come from collider experiments, dominated by precision electroweak measurements at LEP
As the main effect involves direct excitation of the GKK, energy is the key
Given the existing constraints and the theoretically preferred parameters, there is not much the Tevatron can do to test RS models
Extra degree of freedom due to the compact dimension results in a light scalar field – the radion
Again, Tevatron sensitivity is very limited
LHC is the place to probe RS models
; 1 2352 ckr
Pl ek
MM
ckrPleM
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
29
Run II Searches
CDF pioneered RS graviton searches in the dilepton and dijet modes
Limited increase in sensitivity with larger statistics
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
30
Universal Extra Dimensions
The most “democratic” ED model: all the SM fields are free to propagate in extra dimension(s) with the size Rc = 1/Mc ~ 1 TeV-1 [Appelquist, Cheng, Dobrescu, PRD 64, 035002 (2001)]
– Instead of chiral doublets and singlets, introduce vector-like quarks and leptons– Gravitational force is not included in this model
The number of universal extra dimensions is not fixed:– It’s feasible that there is just one (MUED)– The case of two extra dimensions is theoretically attractive, as it breaks down to a
chiral SM and has additional nice features, such as guaranteed proton stability, etc.
Every particle acquires KK modes with masses Mn2 = M0
2 + Mc2, n = 0, 1, 2, …
– Kaluza-Klein number (n) is conserved at the tree level, i.e. n1 n2 n3 … = 0; consequently, the lightest KK mode cold be stable (and is an excellent dark matter candidate [Cheng, Feng, Matchev, PRL 89, 211301 (2002)])
– Hence, KK-excitations are produced in pairs, similar to SUSY particles Consequently, current limits (dominated by precision electroweak constraints,
particularly on the T-parameter) are sufficiently low (Mc ~ 300 GeV for one ED and of the same order, albeit more model-dependent for >1 ED)
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
31
UED Phenomenology
Naively, one would expect large clusters of nearly degenerate states with the mass around 1/RC, 2/RC, …
Cheng, Feng, Matchev, Schmaltz: not true, as radiative corrections tend to be large (up to 30%); thus the KK excitation mass spectrum resembles that of SUSY!
Minimal UED model with a single extra dimension, compactified on an S1/Z2 orbifold
– Odd fields do not have 0 modes, so we identify them w/ “wrong” chiralities, so that they vanish in the SM
Q, L (q, l) are SU(2) doublets (singlets) and contain both chiralities[Cheng, Matchev, Schmaltz, PRD 66, 056006 (2002)]
MC = 1/RC = 500 GeV
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
32
UED Spectroscopy
First level KK-states spectroscopy
[CMS, PRD 66, 056006 (2002)]
Decay:B(g1→Q1Q) ~ 50%B(g1→q1q) ~ 50%B(q1→q) ~ 100%
B(t1→W1b, H1
+b) ~
B(Q1→QZ1:W1:1) ~ 33%:65%:2%B(W1→L1:1L) = 1/6:1/6 (per flavor)B(Z1→1:LL1) ~ 1/6:1/6 (per flavor)B(L1→1L) ~ 100%B(1→1) ~ 100%
B(H1
→1, H
±*1) ~ 100%Production: q1q1 + X → MET + jets (~had/4); but:
low MET
Q1Q1+ X→ V1V’1 + jets → 2-4 l + MET
(~had/4)
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
33
Production Cross Section
Q1Q1, q1q1
[Rizzo, PRD 64, 095010 (2001)]
Run II, s = 2 TeV
Reasonably high rate up to M ~ 500 GeV
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
34
Sensitivity in the Four-Lepton Mode
Only the gold-plated 4-leptons + MET mode has been considered in the original paper
Sensitivity in Run IIb can exceed current limits
Much more promising channels:
– dileptons + jets + MET + X (x9 cross section)
– trileptons + jets + MET + X (x5 cross section)
Detailed simulations is required: important to see this process implemented in a MC
One could use SUSY production with adjusted masses and branching fractions as a temporary fix
L is per experiment; (single experiment)
[Cheng, Matchev, Schmaltz, PRD 66, 056006 (2002)]
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
35
Almost No Extra Dimensions
Novel idea: build a multidimensional theory that is reduced to a four-dimensional theory at low energies [Arkani-Hamed, Cohen, Georgi, Phys. Lett. B513, 232 (1991)]
An alternative EWSB mechanism, the so-called Little Higgs (a pseudo-goldstone boson, responsible for the EWSB) [Arkani-Hamed, Cohen, Katz, Nelson, JHEP 0207, 034 (2002)]
Limited low-energy phenomenology: one or more additional vector bosons; a charge +2/3 vector-like quark (decaying into V/h+t), necessary to cancel quadratic divergencies), possible additional scalars (sometimes even stable!), all in a TeV range
Unfortunately, the Tevatron reach is very poor; LHC would be the machine to probe this model
However: keep an eye on it – this is currently the topic du jour in phenomenology of extra dimensions; new signatures are possible!
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
36
(Instead of) Conclusions
ED are one of the most exciting novel ideas, yet barely tested experimentally:– ADD: virtual graviton effects, direct graviton emission, string resonances– TeV-1 dimensions: VKK, virtual effects– RS: graviton excitations, SM particle excitation, radion, direct graviton emission– Universal extra dimensions: rich SUSY-like phenomenology
Like in SUSY searches, Run II would double the parameter space probed, which makes this subject one of the most exciting exotic channels to explore
Both CDF and DØ collaborations pursue this avenue very actively
Channel Extra Dimensions Probe Other New Physics
Dilepton ADD, TeV-1, RS Z’, compositeness
Diphotons ADD, some RS Compositeness, higgs, monopoles
Dijet ADD, TeV-1, Strings Compositeness, technicolor
Monojets ADD, some RS Light gravitino, other SUSY
Monophotons ADD, some RS GMSB, light gravitino, ZZ/Z couplings
Monoleptons TeV-1, some RS W’
Dijet + MET ADD, Universal SUGRA, Leptoquarks
Leptons + MET Universal SUGRA
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
37
Grand Finale: Have We Missed Anything?
SLEUTH (formerly known as SHERLOCK) [DØ, PRD 62, 92004 (2000); PRL 86, 3712 (2001); PRD 64, 012004 (2001)] is an attempt to use multivariate techniques to answer the above question
– Generalizes search for high-pT physics by identifying global variables, correlated with the pT of a process, and then looking for “reasonable” contiguous areas in the resulting multivariate space yielding maximum excess of data above the SM background
– Unusual, data-driven approach; an interesting method to answer the question of whether there was an evidence for new physics in the data posteriori
– Takes into account the fact that search for excesses was performed in many different variables and channels by adjusting the probability accordingly; consequently, trades decreased significance for increased generality
– Used by DØ to reanalyze Run 1 data in a semi-model-independent way and quantify the degree of the agreement between the data and the SM predictions in some 30 previously studied channels
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
38
DØ Run 1 Sleuth Results
Sleuth is a nice tool to use before closing the door and shutting off the lights: have we forgotten or missed anything
It crucially relies on background understanding and won’t help at this (most time-consuming) step
Not very competitive with direct search for a known signature (e.g. mass peak)
P() = -1.23 → P = 0.89,i.e. 89% of hypothetical experimentswould have seen more “interesting” results in these 32 channels than DØ
~ ~
LHC Workshop, July 7-12, 2003
Greg Landsberg, Beyond the SM @ the Tevatron
39
ADD and Dijet Production
[Atwood, Bar-Shalom, Sony, PRD 62, 056008 (2000)], used HLZ formalism Look at the dijet production cross section as a function of = s/s Reach at the Tevatron ~1.5 TeV (2 fb-1), at the LHC ~10 TeV (30 fb-1) –
comparable to that in the dilepton/diphoton channels Also, tt invariant mass and pT at the Tevatron or LHC (Run IIa reach: ~1.2 TeV;
LHC: ~6 TeV) [Rizzo, hep-ph/9910255 (1999)]
^
LHC, SM
MS = 2 TeV
MS = 4 TeV
MS = 6 TeV
Tevatron, SMMS = 0.75 TeV
MS = 1.5 TeV