LEP2 SUSY Working Group
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Combined LEP GMSB Stau/Smuon/Selectron
Results, 189-208 GeV
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ALEPH, DELPHI, L3, OPAL Experiments
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R.Alemany, C.Booth, F.Cerutti, B.Clerbaux, A.Garcia-Bellido, P.Giacomelli,
N.Kanaya, K.Klein, T.Marchant, R.McPherson, C.Rembser, S.Rosier,
U.Schwickerath, L.Xia
Introduction :
The LEP experiments have searched for staus/smuons/selectrons in the
data taken during year 2000 at centre-of-mass energies ranging from 204
GeV to 209 GeV. In the GMSB model, the gravitino is the LSP and the sleptons
can be the NLSP. Their decay length is arbitrary and depends on the gravitino
mass (proportional to the SUSY breaking scale). Hence the LEP experiments
used various analyses to be sensitive to all ranges of slepton lifetime:
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search for leptons plus missing energy;
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search for tracks with large impact parameter;
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search for kinked tracks;
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search for heavy stable charged particles.
No signal has been found. Constraints have been derived in the context
of GMSB, combining the data set from the year 2000 with those taken at
lower energies during the years 1999 and 1998.
References to individual experiments:
The theoretical framework is described e.g.:
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G.F.Giudice, R.Rattazzi: Theories
with gauge mediated supersymmetry breaking Phys.Rept.322:419-499,1999,
hep-ph/9801271;
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S.Dimopoulos, S.Thomas, J.D.Wells: Sparticle
spectroscopy and electroweak symmetry breaking with gauge mediated supersymmetry
breaking. Nucl.Phys.B488:39-91,1997, hep-ph/9609434;
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S.Ambrosanio, G.L.Kane, G.D.Kribs, S.P.Martin , S.Mrenna Search
for supersymmetry with a light gravitino at the Fermilab Tevatron and CERN
LEP colliders. Phys.Rev.D54:5395-5411,1996, hep-ph/9605398;
Analysis:
Cross sections and branching ratios have been calculated in the framework
of the GMSB model (S.Dimopoulos,
S.Thomas, J.D.Wells), performing a scan over the parameters
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Lambda (5,6,...150 TeV)
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tan beta(2,2.2,...,50)
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M (1.01*Lambda,250 TeV, 10E6 TeV)
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N (1,2,3,4,5)
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sign(mu) (+1,-1),
searching for a minimum cross sections and branching ratio at each slepton
mass. Efficiencies, backgrounds, and candidates have been reported by the
groups in a grid of slepton mass and slepton lifetime (45 GeV< m <
103 GeV in steps of 1 GeV and -12 < log(tau) < -6 in steps of delta(log(tau))=0.2).
The LEP collaborations -ADLO- provided this information for staus and ADO
for selectrons/smuons. The confidence level is computed using the multichannel
likelihood ratio method developped by T.Junk (Confidence
level computation for combining searches with small statistics, T.Junk
CARLETON-OPAL-PHYS-99-01, CERN-EP-99-041, Feb 1999. 17pp., Nucl.Instrum.Meth.A434:435-443,1999,
e-Print Archive: hep-ex/9902006.)
(You can click on the image to get the postscript
file.)
Preliminary results:
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stau1
(stau NLSP) ADLO, 189-209 GeV
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smuonR
(slepton NSLP) ADO, 189-209 GeV
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selectronR
(slepton NLSP) ADO, 189-209 GeV
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number of obs./exp./signal events,
sqrt(s)=189-209 GeV
(1.-CLB), sqrt(s)=189-209 GeV (on
logarithmic scale)
excluded cross section times branching
ratio squared, sqrt(s)=189-209 GeV
excluded mass as a function
of stau lifetime, sqrt(s)=189-209 GeV, expected limit and 1,2-sigma bands
are shown
excluded mass as a function of
stau lifetime, sqrt(s)=189-209 GeV, expected limit and lines of equal beta*gamma*c*tau
at sqrt(s)=208 GeV are shown to indicate the different lifetime regimes
maximum excluded cross section
x B.R.^2 + mass limit for all lifetimes, sqrt(s)=189-209 GeV
|
number of obs./exp./signal events,
sqrt(s)=189-209 GeV
(1.-CLB), sqrt(s)=189-209 GeV (on logarithmic
scale)
excluded cross section times branching
ratio squared, sqrt(s)=189-209 GeV
excluded mass as a function of smuon
lifetime, sqrt(s)=189-209 GeV, expected limit and 1,2-sigma bands are shown
excluded mass as a function of smuon
lifetime, sqrt(s)=189-209 GeV, expected limit and lines of equal beta*gamma*c*tau
at sqrt(s)=208 GeV are shown to indicate the different lifetime regimes
maximum excluded cross section x B.R.^2
+ mass limit for all lifetimes, sqrt(s)=189-209 GeV
|
number of obs./exp./signal events, sqrt(s)=189-209
GeV
(1.-CLB), sqrt(s)=189-209 GeV (on logarithmic
scale)
excluded cross section times branching ratio
squared, sqrt(s)=189-209 GeV
excluded mass as a function of selectron
lifetime, sqrt(s)=189-209 GeV (N=1,2,3,4,5), expected limit and 1,2-sigma
bands are shown
excluded mass as a function of selectron
lifetime, sqrt(s)=189-209 GeV (N=1,2,3,4,5), expected limit and lines of
equal beta*gamma*c*tau at sqrt(s)=208 GeV are shown to indicate the different
lifetime regimes
maximum excluded cross section x B.R.^2
+ mass limit for all lifetimes (N=1,2,3,4,5), sqrt(s)=189-209 GeV
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limit staus (all lifetimes)
for all N
m(stau) > 86.9 GeV at 95%C.L.
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limit smuons (all lifetimes)
for all N
m(smu) > 96.3 GeV at 95%C.L.
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limit selectrons (all lifetimes)
(N=1,2,3,4,5),
m(sel) > 65.8 GeV at 95%C.L.
|
 |
The left plot shows an example of the excluded /\-tan(beta)
region for a fixed set of parameters (N=2, M=250TeV and mu>0) combining
the slepton results (yellow) with the results of the LEP
acoplanar photon search (blue). For this particular scenario, assuming
a short lifetime of the NLSP, values of /\ less than 35.5 TeV can be excluded
for tan(beta) = 15. On the plot, the black region indicates the LEP1 search
region, grey regions are not excluded (here the light grey indicates the
region which can not be reached with LEP2 energies).
The parameters were chosen to compare the LEP results to prospects
of the TEVATRON run 2 (right plot). |
 |
(You can click on the image to get the postscript
file.)
Search for long lived / stable
charged particles:
In case for the search for long lived particles with a lifetime greater/equal
10E-6 s, slepton masses less than 97.5 GeV can be excluded at 95% C.L..
This limit corresponds to the long lifetime results of the stau and smuon
GMSB searches, see above.
If the slepton is stable, then the large impact parameter and kinked
track search do not contribute to the analysis. Results of the search for
stabkle particles are given on a separate
page.
 |
The histogram which gives the excluded cross section for long
lived sleptons has a dip in the exclusion around the mass of 60 GeV.
Reason for this dip is a reduced efficiency of the experiments which
use as their main search tool an analysis of the specific ionisation energy
loss in the tracking chambers to separate heavy charged particles from
Standard Model (SM) particles.
Possible candidates would appear in the region indicated by the green
boxes on the left plot, the example of a particle with a mass of 45 GeV is given by the dark green line. In the region in between the boxes, new heavy particles can not be separated from SM particles. Examples of SM particles are given by the blue lines. But as LEP2 was running at various
beam energies (which means that the momentum of a pair produced new particle
with a certain mass varied, too), new heavy charged particles at all masses
at least once should appear in the "separation regions".
The two additional dips in the excluded cross section for particles
with a lifetime of tau=10E-6s are caused by two ALEPH candidates in the
large impact parameter search at 189 GeV and 198 GeV. These candidates
contribute to the long lifetime region as for particles with a mass close
to the beam energy, their beta*gamma (=p/e * e/m = p/m = sqrt(E**2 - m**2)/m,
with E = half of the beam energy) gets very small, hence the decay can
still occure inside the detector. |
Christoph
Rembser, September 2002