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A Fermi National Accelerator Laboratory FERMILAB-Pub-921221-E Search for Squarks and Gluinos from@p Collisions at 4s = 1.8 TeV F. Abe et al The CDF Collaboration Fermi National Accelerator Laboratory, Batavia, Illinois 60510 August 1992 : Submitted to Physical Review Letters 0 Operated by Universities Research Association Inc. under Contract No. DE.AUJZ-76CHOSKM wi6? lhe United States Depefbnml of Energy

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Page 1: A Fermi National Accelerator Laboratory Search for - Fermilab

A Fermi National Accelerator Laboratory

FERMILAB-Pub-921221-E

Search for Squarks and Gluinos from@p Collisions at 4s = 1.8 TeV

F. Abe et al The CDF Collaboration

Fermi National Accelerator Laboratory, Batavia, Illinois 60510

August 1992

:

Submitted to Physical Review Letters

0 Operated by Universities Research Association Inc. under Contract No. DE.AUJZ-76CHOSKM wi6? lhe United States Depefbnml of Energy

Page 2: A Fermi National Accelerator Laboratory Search for - Fermilab

This report teas prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency thereof nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise, does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof

Page 3: A Fermi National Accelerator Laboratory Search for - Fermilab

FERMILAB-PUB-92/221-i CDF/PUB/EXOTIC/CDFR/1549

Search for Squarks and Gluinos from pp Collisions at fi = 1.8 TeV

F. Abe,(“) D. Amidei,(14) C. Anway-Wiese,(‘) G. Apollinari,(*“) M. Atac,(s)

P. Auchincloss,(“) P. Azzi,(“) A. R. Baden,c8) N. Bacchetta,(15) W. Badgett,(“)

M. W. Bailey,@) A. Bamberger,(6+) P. de Barbaro,(‘g) A. Barbaro-Galtieri,(‘Z)

V. E. Barnes,(18) B. A. Barnett,(“) G. Bauer,(13) T. Baumann,(s) F. Bedeschi,(“)

S. Behrends,@) S. Belforte,(‘7) G. Bellettin&07) J. Bellinger,@‘) D. Benjamin,@‘)

J. Benlloch,(s+‘) J. Bensinger, (s) A. Beretvas, (s) J. P. Berge,(s) S. Bertolucci,(‘) K. Biery,(‘s+)

S. Bhadra,tg) M. Binkley,(‘) D. Bisello,(“) R. Blair,(‘) C. Blocker,@) A. Bodek,(lg)

V. Bolognesi,(‘7) A. W. Booth,(s) C. Boswell,(“‘) G. Brandenburg,(s) D. Brown,(s)

E. Buckley-Geer,(“) H. S. Budd,(lg) G. Busetto,(“) A. By6n-Wagner,(s) K. L. Byrum,

C. Campagnari, (s) M. Campbell,(“) A. Caner,(s) R. Carey,(s) W. Carithers,(12)

D. Carlsmith, J. T. Carroll,@) R. Cashmore, A. Castro,(ls) F. Cervelli,(“)

K. Chadwick,(s) J. Chapman, (I’) G. Chiarelli,(‘) W. Chinowsky,(12) S. Cihangir,(s)

A. G. Clark,(s) M. Cob&(“) D. Connor,(16) M. Contreras,(‘) J. Cooper,(s) M. Cordelli,(‘)

D. Crane,(s) 3. D. Cunningham,(a) C. Day,@) F. DeJongh,(s) S. Dell’Agnello,(17)

M. Dell’Orso,(“) L. Demortier,(s) B. Denby, P. F. Derwent,(“) T. Devlin,(‘l)

D. DiBitonto,(*s) M. Dickson,@) R. B. Drucker, 0’) K. Einsweiler,(‘a) J. E. Elias,

R. Ely,(“) S. Eno,(‘) S. Errede,@) A. Etchegoyen,(s+‘) B. Farhat, G. Feldman,@)

B. Flaugher,(s) G. W. Foster,@) M. Franklin,(s) J. Freeman,t6) H. Frisch,14) T. Fuess,(s)

Y. Fukui,(“) A. F. Garfmkel,(‘*) A. Gauthier,@) S. Geer,(s) D. W. Gerdes,c4)

P. Giannetti,(“) N. Giokaris,@) P. Giromini,(‘) L. Gladney,(‘s) M. GoId,

Submitted to Phys. Rev. Lett., August 13, 1992

I

Page 4: A Fermi National Accelerator Laboratory Search for - Fermilab

K. Goulianos,(‘s) H. Grassmann, (is) G. M. Grieco,(i71 R. Grindley,(‘6v’l C. Grosso-Pilcher,t4)

C. Haber,@) S. R. Hahn,(s) R. Handler,(‘sl K. Hara,(*s) B. Harral,(i61 R. M. Harris,(s)

S. A. Hauger,(‘l J. Hauser, C. Hawk,@i) T. Hessing, 0’) R. Hollebeek,(‘a) L. Holloway,@)

S. Hong,(“) P. Hu,(“) B. Hubbard,(“) B. T. Huffman, R. Hughes,@) P. Hurst,(s)

J. Huth,(s) J. Hylen,(s) M. Incagli,(“) T. Ino, H. Iso,(‘sl H. Jensen,(B) C. P. Jessop,(s)

R. P. Johnson,(s) U. Joshi, R. W. Kadel,(“) T. Kamon,(“l S. Kanda,(‘31

D. A. Kardelis,@) I. Karliner,@l E. Kearns,(s) L. Keeble,(“) R. Kephart,(s) P. Kesten,(*l

R. M. Keup, (9 H. Keutelian,(sl D. Kim,@) S. B. Kim,(i41 S. H. Kim,tz3) Y. K. Kim,(“)

L. Kirsch,(21 K. Kondo,@) J. Konigsberg,(s) K. Kordas,(is+‘l E. Kovacs,(sl M. Krasberg,(‘4)

S. E. Kuhlmann,t’l E. Kuns,(2*l A. T. Laasanen,(‘8) S. Lammel, J. I. Lamoureux,(zsl

S. Leone,(‘71 .I. D. Lewis,(s) W. Li,(‘) P. Limon,@) M. Lindgren,@) T. M. Liss,@‘)

N. Lockyer, (ls) M. Loreti,(‘s) E. H. Low,@) D. Lucchesi,(“l C. B. Luchini,t’) P. Lukens,(s)

P. Maas,@) K. Maeshima,(s) M. Mangano,(“l J. P. Marriner,(s) M. Mariotti,(“)

R. Markeloff,(*sl L. A. Markosky,(l’l R. Mattingly, P. McIntyre,(*21 A. Menzione,(“)

E. Meschi,(“) T. Meyer,(a2) S. Mikamo,(“I M. Miller,(‘) T. Mimashi,tz3) S. Miscetti,(‘j

M. Mishina,t”l S. Miyashita, (231 Y. Morita,(s’) S. Moulding,t2) J. Mueller,(2’l

A. Mukherjee,@l T. Muller,t3) L. F. Nakae,t2) I. Nakan~,(~‘) C. Nelson,t61

C. Newman-Holmes,@) J. S. T. Ng,ts) M. Ninomiya,@l L. Nodulman,(‘) S. Ogawa,cz3)

R. Paoletti,(“l V. Papadimitriou,(sl A. Para,@) E. Pare,(s) S. Park,(s) J. Patrick,(s)

G. Pauletta,(“) L. Pescara, (is1 T. J. Phillips,(‘) F. Ptohos,(s) R. Plunkett,(s) L. Pondrom,@‘l

J. Proudfoot,@) G. Punzi,(“l D. Quarrie,(sl K. Ragan, G. Redlinger,c4) J. Rhoades,tzs)

M. Roach,t2’) F. Rimondi,(s@l L. R&tori,(“) W. J. Robertson,(5) T. Rodrigo,(sl

T. Rohaly,(“l A. Roodman, W. K. Sakumoto,(“) A. Sansoni,(‘) R. D. Sard,tg)

2

Page 5: A Fermi National Accelerator Laboratory Search for - Fermilab

A. Savoy-Navarro,(s) V. Scarpine, P. Schlabach,(sl E. E. Schmidt,(s) 0. Schneider,(“)

M. H. Schub,(‘s) R. Schwitters,(@ A. Scribano,(“) S. Segler,(‘l Y. Seiya,(231 G. Sganos,(is,“)

M. Shapiro,(“) N. M. Shaw,(18) M. Sheaff,(“) M. Shochet,(4) J. Siegrist,(“l P. Sinervo,(‘s,“)

J. Skarha,(“) K. Sliwa,(24) A. Spies,l”) D. A. Smith,(“) F. D. Snider,(“) L. Song,(s)

T. Song,(i4) M. Spahn,(“l P. Sphicas,(131 R. St. Denis, L. Stanco,(e*“) A. Stefanini,(“)

G. Sullivan,(41 K. Sumorok,(“) R. L. Swarts, Jr.,(‘) M. Takar~o,(~~) K. Takikawa,(23)

S. Tarem, F. Tartarelli,(“) S. Tether, (13) D. Theriot, M. Timko,t2’) P. Tipton,

S. Tkaczyk,(e) A. Tollestrup,(sl .I. Tonnison,(‘sl W. Trischuk,(*l J. Tseng,(“‘l N. Turini,

Y. Tsay,c4) F. Ukegawa,(23) D. Underwood,(‘) S. Vejcik, III,(‘“) R. Vidal,@) R. G. Wagner,(‘)

R. L. Wagner,(‘) N. Wainer,@l J. Walsh,(“) G. Watts,(igl T. Watts,t2’) R. Webb,cz21

C. Wendt,(‘s) H. Wenzel,(“l W. C. Wester, 111,(‘21 T. Westhusing,@l S. N. White,(201

A. B. Wicklund, E. Wicklund,@) H. H. Williams,(t61 B. L. Winer,(lgl J. Wolinski,(22)

D. Wu,(i4) J. Wyss,(‘s) A. Yagil,(‘) K. Yasuoka, (23) Y. Ye,(“+) G. P. Yeh,@) J. Yoh,@)

M. Yokoyama, fz31 J. C. Yun,(‘) A. Zanetti,(“J F. Zetti,(“) S. Zhang,(‘4) S. Zucchelli,(s’“l

The CDF Collaboration

0) Ar)onw National Labornlor)l, Argmne, Illinois 60~39

(2) Bnad~ti U&m+, W&ham, Mo~~~ehucttr 033S4

(3) uni.er,i* of Cofifomia at Lo, Angel.,, Lo, Ang.le*. CdifomiE 90011

(4) Unkrrity of Chicago, Chicogo, nlinoia 60657

(5) D&r Uniwrnity, Durhmn, Nodh Camlina 1770106

(6) Fermi Naliond Accrlemtor Labomtoq. Bat&a, Illinois 60610

V) Lobomtovi N&on& di Fn~c~ti, IAuto N&on& di Fisk Nucknn, &xdi, Italy

3

Page 6: A Fermi National Accelerator Laboratory Search for - Fermilab

(8) Rand fhivarsit~, Cambtidgq Muaachurrtla 02138

(9) Lhiserrity of I&oh, Urbana, Illin& bl8Ol

(10) Thr John, Hopbin, Vniwrrritu. Bsltimorr, Maryland il.Wb

(l*) Notional Lsbomoto~ fov High Enefg~ Physics (KSX), Japan

(12) Lawnnsr Berbele~ L&vdt.ry, Be&leg, colifomia 9,‘SO

(13) Mzurachrasttr Innlitufr of TechnoLwv, Cambridge, bf~~~~ehurrtt~ 01159

(1’) Uniterrilv of Michigan, Ann Arbor, Miehignn dd109

(15) [Inirreraita di Podova, Institrte Nszion& di Fkica Nucleon, Sczionc di Padma, 1.35131 Padoe% Italy

(16) Vniwrrritl of Pennqbonio, Philodelphio, Penwyl~mk let04

(1’) htitulo Nezionafr di Ftiicn Nrclroe, Unirrraih end Scrola Nomrok Svpcriorr of Piro, I-S8100 Pins, Italy

08) Prrdmarr [Inimrait~, Wee< L+gctta, Indiaha 4’1907

(19) mivrrritv of Rwherbrr, Rmhrrlrr, New Ycwb 15617

(233) Rodrfrlfer Uni~~rity, New York, New Yd 10021

(21) Rvtoerr Unirurity, Pircntawcly. New Jemry 06654

(22) TIID~ AUM Umiwrrity, Collrge Station, Teraa 77615

(23) Unirewit~ of Tak& Tauhba, Ibmabi SOS, Jopn

(34) nJcr u nnanit*, Medfmi. ?do*smhuwttr 65ISS

(25) U&w& of Wi~cmwin, Madison, Wbrmsin 55706

PACS: 14.80 Ly, 13.85 Rm

Abstract

We have analysed events with jets and large missing transverse energy produced

in pp collisions at 6 = 1.8 TeV. The observed event rate is consistent with Standard

4

Page 7: A Fermi National Accelerator Laboratory Search for - Fermilab

Model predictions. In a version of the supersymmetry (SUSY) model with a massless

photino and no cascade decays, we exclude at the 90% confidence level the existence of

squarks and gluinos with masses less than 126 GeV/c’ and 141 GeV/c’ respectively.

The mass limits are lower with other choices of the SUSY parameters. An example is

presented.

In supersymmetric extensions of the Standard Model (SUSY) [l] all fermions and

bosons have partners with the same fundamental properties except spin and mass. The

SUSY partners of quarks and gluons are squarks ($) and gluinos (j). In the minimal version

of SUSY, the gauginos are complex mixtures of the higgsino, photino, zino and wine. The

theory is defined by five free parameters [l] which can be chosen as a SUSY Higgsino mass

mixing parameter p, the ratio of the two Higgs vacuum expectation values tan@, and the

masses of the charged Higgs, squark and gluino (mu+, rn( and ma). These parameters

uniquely determine the gaugino masses. There is a conserved SUSY quantum number which

implies that SUSY particles are pair produced and that the lightest supersymmetric particle

(LSP) cannot decay. In general the squarks and gluinos will decay to quarks and gauginos

which subsequently decay to the LSP. The LSP interacts extremely weakly with quarks

and electrons and deposits no significant energy in the detector. Thus, SUSY particles,

if produced, yield events having two or more jets with apparently imbalanced transverse

momenta. In the following we will assume that there are one very heavy squark and the

other five flavors are lighter and nearly mass-degenerate.

We describe a search for i and 3 particles produced in proton-antiproton collisions

at a center-of-mass energy \/s = 1.8 TeV. A summary of earlier SUSY particle searches is

5

Page 8: A Fermi National Accelerator Laboratory Search for - Fermilab

presented in Ref. [2]. Previous hadron collider searches [3, 41 set mass limits by comparing

their data with a version of SUSY which assumed that there are six mass-degenerate squarks

and that a squark decays directly into an ordinary quark and a massless photino. For

comparison with these experiments, we have calculated mass limits from our data in the

same way. However, when we use the version of SUSY described in the previous paragraph

and include the effect of cascade decays [5], we find less stringent mass limits. An example

for a specific choice of SUSY parameters is presented below.

Our results are based on 4.3 pb-’ of integrated luminosity in the Collider Detector at

Fermilab (CDF)[G] which has a fine-grained, projective-tower geometry covering most of the

4?r solid angle with electromagnetic and hadron calorimeters. Its principal subsystems are

the central scintillator sampling calorimeter (171 < l.l), th e end-plug gas sampling calorime-

ter (1.1 < 171 < 2.4), and the forward gas sampling calorimeter (2.4 < 171 < 4.2), where the

pseudorapidity 7 = - In tan 8/2, and 6’ is the polar angle. Inside the central calorimeter, a

superconducting solenoid generates a 1.41 T magnetic field for tracking chambers surround-

ing the collision axis. The region 171 < 0.63 is instrumented with drift chambers for muon

detection outside of the hadron calorimeter. Charged tracks with I?/ > 0.63 associated with

minimum ionization signals in the calorimeters are also considered muon candidates.

Transverse energy is defined as E, = Esin0. Missing transverse energy, #, , is the

magnitude of the vector sum of the calorimeter cell E, vectors directed from the interaction

vertex to the cell center. A #, trigger was used to generate the data sample. This trigger

required & 2 25 GeV and E, 2 8 GeV and 171 5 2.4 for the highest E, jet. Further details

of the trigger can be found in Ref. [7].

6

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Offline analysis eliminated known sources of detector noise, computed tower energies,

reconstructed tracks, and applied the CDF jet algorithm which summed the calorimeter

E, within a cone of 0.7 in 7 - 4 space [S]. A sample of known cosmic rays was used to

define cuts to reject cosmic ray background. Events were selected by requiring $, 2 20

GeV and 1 2 jets. Jets were retained if they were in the interval /T( < 3.5, had E, 2 15

GeV, and (to reject cosmic rays) deposited between 10% and 90% of the their energy in the

EM calorimeters. To remove dijet events with large $= due to mismeasurement, we rejected

events with a cluster in the calorimeters with E, 1 5 GeV opposite in 4 to the highest

E, jet (&30”). To reduce cosmic rays, we rejected events with a large energy deposition

in the central hadron calorimeter out of time with the beam-beam crossing. This selection

yielded 1,226 events.

A series of more stringent cuts was made in order to get a final sample of events which

could contain SUSY particles. The first of these cuts was designed to select events with a

well measured large @, by requiring $, 2 40 GeV (281 events survive), and $, significance

S 1 2.8, where S E $, /m [GeV’lZ] and the sum is over all calorimeter cells (257 events

survive). The S cut removed most events with $, induced by measurement fluctuations.

For an event sample with no muons, neutrinos or other non-interacting particles, we expect

the S distribution to reflect the & resolution of the detector. Fig. 1 shows the observed

S distribution for dijet events (jet E, > 25 GeV) to be adequately described by the CDF

detector simulation program. This gives confidence that, for events with jets in this E, range,

the simulation correctly models the detector resoluti:n.

We next required:

Page 10: A Fermi National Accelerator Laboratory Search for - Fermilab

1. No muon candidates of transverse momentum PT > 15 GeV/c. This rejects W + pv

and Z -+ pfp- decays (230 events survive).

2. No calorimeter clusters with E, > 15 GeV and > 90% energy deposited in EM calorime-

ters. This rejects W -+ ev decays (196 events survive).

3. No jet cluster within f30” in 4 from the B, direction. This rejects mismeasured

multijet events (124 events survive).

4. At least one central jet (171 < 1.0) with a ratio of summed charged-track momenta to

cluster energy > 0.2. This rejects events where timing information from the central

hadron calorimeter was unavailable to eliminate cosmic rays. (116 events survive).

5. An interaction vertex within f60 cm of the detector center on the beam axis and no

other beam interaction vertex. (100 events survive).

Remaining events were inspected on a graphics display. We removed one beam-gas

collision, one cosmic ray event, and five events with detector malfunctions. The final sample

of 93 events had 71 events with two jets, 20 with three jets and 2 with four jets (jet E, >

15 GeV).

Backgrounds from W and Z production and decay which passed our selection cuts

were calculated with a Monte Carlo program [lo] and a simulation of our detector. This

predicts 23 * 8 Z -+ VI?, 41 f 15 W + rv, 18 f 6 W + p, and 9 f 3 W --t ev events in

our data sample. We also expect events with heavy quark decays (dominated by b8) and

mismeasured jet events. Based on the distribution of angular separations between jet and

& directions, we estimate 4 ?c 4 events from these sources, all with $, < 55 GeV. The total

8

Page 11: A Fermi National Accelerator Laboratory Search for - Fermilab

predicted event rate from background (95 zt 19 events) and its associated Z, spectrum agree

well with the rate and spectrum for the 93 events in our data (Fig. 2).

We observe two events with Z, > 150 GeV. The highest Z, event has g, = 185.9

GeV with three jet clusters: E, = 183.9, 33.8 and 11.3 GeV. The second highest Z, event

has Z, = 167.8 GeV with four jets: E, = 144.7, 46.6, 19.3 and 16.5 GeV. The third of these

jets contains an electron candidate with Er = 11.3 GeV/c. The transverse mass calculated

from the electron and Z, vector is 57.2 GeV/cr. The W/Z plus jets Monte Carlo calculation

predicts 0.2 events with $, > 150 GeV will pass our cuts. However note that this Monte

Carlo program only simulates W/Z productions up to three jets. We believe that the two

observed events do not constitute a statistically significant deviation from the standard model

prediction.

To confirm the predicted backgrounds from W and Z decays, we have used 2700

W -+ ev events recorded by CDF and exploited the kinematic similarity Ill] to the processes

below. For each topology, the result was corrected by the ratio of acceptances between the

W -+ eu and the $= sample.

1. Z + vti. We used W events to simulate this process by removing the electron from

the W decays, and correcting for electron detection efficiency, W and Z cross sections

and branching ratios (oB(Z + vg)/uB(W -+ ev) = 0.59)[12], we expect 33.5 ct 9.1

Z + VP decays in our J& sample.

2. W --t TV [13]. This contribution was computed by replacing the electrons in W -+ Ed

by simulated r -+ hadmm + v. We expect 31.5 dc 9.8 decays in our Z, sample.

3. W + pv, where the muon has not been identified in the detector. This contribution

9

Page 12: A Fermi National Accelerator Laboratory Search for - Fermilab

was computed by replacing the electrons in W -+ ev decays with simulated muons.

We expect 17.1 * 5.3 W -+ pv events in our E, sample.

We also inspected our l& sample on a.graphic display for W + Ed decays where the electron

P= is below 15 GeV/c or the electron cluster fails the EM fraction cut. We found five

such events. After correcting for detector acceptance and kinematic cuts this corresponds to

6.4 f 2.9 such events in our sample.

The total background, 88 * 15 events, from W and Z processes estimated using CDF

W data are consistent with the Monte Carlo calculation, 91 •h 19 events. In the following,

the Monte Carlo predictions for background were used to extract limits on SUSY particle

production.

To explore our sensitivity to a SUSY signal, we generated SUSY events using the

ISAJET [14] Monte Carlo program (version 6.22) and EHLQl, EHLQ2, DOl, and DO2

structure functions. The lowest rates came from EHLQl, which was used to provide a

conservative production limit for SUSY particles. There were several sources of uncertainty

in the predicted rate: f6.8% in rate from the the integrated luminosity, *lo% in rate from

the *5% uncertainty in the energy scale, f3% in rate from the uncertainty on the Z, trigger

efficiency, and f15% from various sources in the Monte Carlo calculation -the choice of Q*,

~1, evolution and the iimited number of events generated. The combined acceptance of the

simulated detector and analysis programs for generated SUSY events is heavily dependent

on the choice of q and j masses. For the mass region we studied, it varies from 3% to 25%.

Our limits on m.8 and mg are based on a comparison of the observed ZT distribution

with predictions for the standard model background based on the Monte Carlo of Ref. [lo]

10

Page 13: A Fermi National Accelerator Laboratory Search for - Fermilab

plus the SUSY contribution based on the ISAJET Monte Carlo samples. For each hypoth-

esised mq and mg we fit the observed $, distribution over the full $, range using a binned

likelihood method. The resulting upper limit on the rate of SUSY particle production is then

compared with the predicted SUSY cross-section. Note that if the measured calorimeter en-

ergy scale is less than the true scale the predicted standard model contributions are reduced,

and the limits are weakened. In extracting our limits to take into account this systematic

uncertainty we have reduced the detector energy scale in the Monte Carlo simulation by 5%.

The resulting region of the m+ vs. ml plane excluded at 90% C.L. is shown in Fig. 3. These

limits are valid provided mi 5 15 GeV/c’. The symmetric and asymptotic points on the

limiting boundary are: rni = mg. = nz = 225 GeV/cs, rn( = 126 GeV/c’ (at ma = 5000

GeVlc’), and mg = 152 GeV/ca (at mq = 5000 GeV/c’). We exclude at the 90% confidence

level the existence of squarks and gluinos with masses less than 126 GeV/cr and 141 GeV/c*

respectively.

Finally we extracted the limits shown in Fig. 4 for cascade decays with a particular

choice of SUSY parameters: q = -250, tar@ = 2, and ma = 500 GeV/c” as used in Ref. [5].

The weakened limits are due to cascade decays and non-zero LSP mass. For a gluino mass

greater than 410 GeV/c’, we can place no limit on the squark mass.

We would like to acknowledge H. Baer and T. Han for many valuable discussions.

We thank the Fermilab staff and the technical staffs of the participating institutions for

their vital contributions. This work was supported by the U.S. Department of Energy and

National Science Foundation; the Italian Istituto Nazionale di Fisica Nucleare; the Ministry

of Science, Culture, and Education of Japan; and the A. P. Sloan Foundation.

11

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References

[l] H. E. Haber and G. L. Kane, Phys. Rep. 117, 75 (1985); S. Dawson, E. Eichten and

C. Quigg, Phys. Rev. D31, 1581 (1985).

[2] H. Baer et al., to be published in Proc. of 1990 DPF Summer Study on High Energy

Physics, Snowmass, Co. June 25 - July 13, 1990. Preprint # FSU-HEP-901110.

[3] UAl Collaboration, C. Albajar et al., Phys. Lett. B198, 261 (1987); UA2 Collabora-

tion, Phys. Lett. B235, 363 (1990).

[4] CDF Collaboration, F. Abe et al., Phys. Rev. Lett. 62, 1825 (1989).

[5] H. Baer et al., Phys. Rev. D44, 207 (1991).

[6] CDF Collaboration, F. Abe et al., Nucl. Instr. and Meth. A271, 387 (1988).

[7] P. Hu, Ph.D. thesis, Rutgers University, 1990.

[8] CDF Collaboration, F. Abe et al., Phys. Rev. D45, 1448 (1992).

[9] G. Marchesini, B. R. Webber, Nucl. Phys. B238, 1 (1984); B. R. Webber, Nucl. Phys.

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[ll] CDF Collaboration, F. Abe et al., Phys. Rev. Lett. 66, 2951 (1991); CDF Collabora-

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[12] CDF Collaboration, F. Abe et al., Phys. Rev. Lett. 64, 152 (1990)

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[13] A. Roodman, Ph.D. thesis, University of Chicago, 1991.

[14] F. Paige and S. Protopopescu, BNL Report No. BNL 38034, 1986 (unpublished). We

used ISAJET version 6.22.

[15] DELPHI Collaboration, P. Abreu et al., Phys. Lett. B247, 148 (1990).

13

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LIST OF FIGURES

Fig. 1 Missing E, distribution (solid line) for the data set described in the text, com-

pared with the estimated background predictions (dashed line) obtained using the

Monte Carlo program of reference [lo] together with the CDF detector simulation plus

the estimated QCD background. Insets show predicted & distributions for squark and

gluino production from ISAJET ( version 6.22) and the CDF detector simulation for

(a) m,- = 125 GeV/cZ and ma = 5000 GeV/c’, and (b) mg = 225 GeV/c* and rnq =

225 GeV/c=.

Fig. 2 Missing E, significance distribution for a jet sample (jet E, > 25 GeV) compared

with the predictions from the HERWIG [9] Monte Carlo and CDF detector simulation.

Fig. 3 Squark and gluino mass limits for a version of SUSY with a massless photino,

six mass-degenerate squarks and no cascade decays. The region of rn< versus mg plane

excluded at 90% C.L. is shown. The dashed lines are boundaries of the region excluded

by our previous analysis [4]. The solid line indicates the added region excluded by the

present analysis. Asymptotic limits are indicated by the arrows. The discontinuity at

mq = ma reflects the change in the expected decay chain. Squark masses below 45

GeV/cZ are excluded by data from LEP[15].

Fig. 4 The shaded region of squark and gluino masses is excluded at 90% C.L for a

version of SUSY with cascade decays, p = -250, tar@ = 2, and mu = 500 GeV/c2.

For comparison, the dashed line shows the limits corresponding to no cascade decays.

14

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" 6000

b e,

% \ 5

+

-

Data HERWIG + Detector - Simulation

2000

0 I I I I I I I , I III I I / 0 1 2 3 4 5

$lT significance (S)

Figure 1: Missing ET significance distribution for a jet sample (jet ET > 25 GeV) compared with

the predictions from the HERWIG [9] Monte Carlo and CDF detector simulation. i

15

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I I I I I I I / I I I I I

I I I 1

1 I I I I I I I I I I I I I I I I

27 Ill-l I \ 1 1 -ru (a) 1 -I

I I I I I I I I LiY wdl

/

I I

-I’ t \ IL 0 50 100 150 200 \ 1 \ \ a’T (GeV)

I I I n-L , I 3 Ill

50 150

Figure 2: Missing E, distribution (solid line) for the data set described in the text, compared

with the estimated background predictions (dashed line) obtained using the Monte Carlo program

of reference [IO] together with the CDF detector simulation plus the estimated QCD background

Insets show predicted & distributions for squark and glnino production from ISAJET (version

6.22) and the CDF detector simulation for (a) m,- = 125 GeV/cr and mg = 5000 GeV/c’, and (b)

mg = 225 GeV/cs and mq = 225 GeVjca

200

16

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n CQ

s

g

2cT

E

500

400

300

200

100

0

I ‘I,, r’ /“\r\\‘l

6, , 4 I I I ! I I I I I I I. .’

CDF

0 100 200 300 400 500

m go (Gel@?)

Figure 3: Squark and gluino mass limits for a version of SUSY with a massless photino, six mus-

degenerate squarks and no cascade decays. The region of ma versus rng plane excluded at 90%

C.L. is shown. The dashed lines are boundaries of the region excluded by our previous analysis [4].

The solid line indicates the added region excluded by the present analysis. Asymptotic limits are

indicated by the arrows. The discontinuity at mi = ma reflects the change in the expected decay

chain. Squark masses below 45 GeV/c’ are excluded by data from LEP[lS].

17

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E

500 -

400 -

300 -

200 -

100 -

_ .’

Oo”

,.I, , I ‘, r , , I I I / I I , I / I I.

I .’

I t :

I I

I I CDF ,:,“’ :

I I

.I’

I :’

I :’ I I

.’ .’

I, ,’ I :,

._ ____ __-- ---- -----

I I I I f I I I 1 I I I I I I , I I I

100 200 300 400 500

m r (GeV/c’)

Figure 4: The shaded region of squark and gluino Massey is excluded at 90% C.L for Q version

of SUSY with cascade decays, Jo = -250,tanfl = 2, and m,y = 500 GeV/c’. For comparison, the

dashed line shows the limits corresponding to no cascade decays.

18