“Experimental Observation of Isolated Large Transverse Energy Electrons with Associated
Missing Energy at = 540 GeV”
Okamura YusukeShibata lab.
G. Arnison et al., UA1 CollaborationPhys. Lett. 122B (1983) 103
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Contents: 1. Introduction 2. Experimental Method 3. Analysis 4. Summary
Physics ColloquiumJuly 7th, 2008
√s―
2
1. IntroductionWeak Interaction
Fermi made a theory of β-decay in 1930's . The interaction was a contact interaction . ( no intermediate particle )
Weinberg and Salam made a theory for ElectroWeak Interaction in 1960's . The ElectroWeak Interaction is a combined framework for Electromagnetic Interactionand Weak Interaction .
The intermediate particles of Weak Interaction are W and Z . The mass of W and Z are large . The range of interaction is short .
Experimental discovery of W and Z is important to establish ElectroWeak Theory .
n p
νe-e‐
n p
νe-e‐
Fermi’s Model
±
W‐
Weinberg-Salam’s Model
p
νe
Z
p
νe
±
charged current
neutral current
β-decay
β-decay
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-p + p → W + X
e + ν( -)
±
±
We look for the following event ;
pp-u
ud
u-d-u-
W+
νe
e+
collision
two-body decay
2. Experimental Method
CERN SPS Proton-Antiproton Collider
Accelerator
: proton and antiproton collisions at = 540 GeV
p p-
pE Ep-= 270 GeV= 270 GeV
√ s―
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◎ Hadronic Calorimeter ・ energy measurement of hadrons
◎ Electromagnetic (EM) Calorimeter ( consists of two parts ) ・ energy measurement of e and
◎ Drift Chamber ( in magnetic field ) ・ measurement of charged tracks and momenta
155°25°
0°beam axis
beam crossing point
±
The name of experimental group is UA1
Detector
Event Selections
This experiment was carried in a 30-day period .
◎Recorded events
◎Candidate events of W : 5 events
: 109
conditions: ・ large transverse energy of electron ・ large missing transverse energy (neutrino) ・ no hadron jet
Search for W → e + ν± ± ( -)
はこうやって測定したニュートリノ
・ Electron was measured with drift chamber and electromagnetic calorimeter. ・ Neutrino was not measured . Momentum of neutrino was determined by momentum imbalance using the electromagnetic calorimeter and hadronic calorimeter.
◎Expected number of p-p collision in this period
: 9.75 ×10 5
±
-
φ angle
270°
Pseudo-rapidity
Φ angle
Pseudo-rapidity η6
Detailed Investigation of the electron-neutrino events
5 candidates events are carefully investigated .
3. Analysis
Following figures are data of one event .
hadronic calorimeter
electromagnetic calorimeterelectron track
charged tracks in the detector
Energy depositions in the calorimeters
・ Pseudo-rapidity η is a function of θ
φ beam axis
particle track
θ
・ φ is angle of spherical coordinatePseudo-rapidity η-
1.4
+1.4
-1.4
+1.4
-90°
φ angle
270°
-90°
E max 23.7 GeVT
E max 0.5 GeVT
θ = 28° ~ 90 ~ 152( η = -1.4 ~ 0 ~ 1.4 )
beam crossing point
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This figure shows the correlation between transverse electron energy and the missing transverse energy .
Transverse electron energy
↓20 40 GeV
20
40 GeV
0
0
24
# of events
12
Mis
sing
tra
nsve
rse
ene
rgy
# o
f eve
nts
Momentum balance between electron and neutrino
m is determined as
by correcting for the transverse motion of W .
m = 81 ±5 GeV/cW2
W
±
±
←
←
↓beam axis
beam crossing point
e±
ν( -)
e±
ν( -)
ET
ET
ET
ET
Events with large transverse energy
Events with small transverse energy
These two energies are proportional. This result shows two-body decay of W .
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・ W and Z are intermediate particles of weak interaction .
・ p and p collision at high center-of-mass energy can produce W .
・ Experiment was carried out by UA1 collaboration at CERN-SPS .
・ W decays to electron and neutrino (missing energy) back-to-back .
・ 5 events are consistent with two-body decay of W .・ m = 81 ±5 GeV/c ・ It agrees with the Weinberg-Salam model
4. Summary
Z was also discovered by UA1 collaboration in 1983 .
The physics Nobel prize 1984 was awarded to this discovery .
W2
±
-±
±
±
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Energy flow vector
10
11
Energy flow vector
・ Neglecting particle masses・ With an ideal calorimeter response・ With ideal solid-angle coverage
⇒ ∑ ΔE = 0
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Event Selections Expected number of p-p collisions in a 30-day period :
trigger conditions and other conditions for good data selection :
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the electron trigger
> 15 GeV of transverse energy
with a good quality , vertex-associated charged track
9.75 × 10
1.4 × 10
28000
2125
Requirement of Three trigger conditions・ with large transverse energy・ with undetected muon tracks
10 events9
The fast track must hit a pair of adjacent EM calorimeter modules
The Φ information agree with the impact of the track .
The energy deposition in the hadronic calorimeters 600 MeV≦The energy match the momentum
p of other tracks entering the same modules 2 GeV/≧ c .T
1106
276
167
7239
with no jets activity 5 events
5
5
◎ e Identification ・ By their charged tracks ・ By the lack of penetration in the hadron calorimeter
◎ ν Identification ・ Only by transverse energy imbalance ( missing transverse energy )
Particle Identification
⇒ ・ Now , we define an energy flow vector ΔE , which is 0 in ideal conditions .⇒ ・ By using this technique , we detect the missing transverse energy , namely ν .
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Events without jets Events with jets
Electron transverse energy
Tran
sver
se to
ele
ctro
nP
aral
lel t
o el
ectro
n
Mis
sing
tra
nsve
rse
ene
rgy
Missing transverse energyParallel to electron
Missing transverse energynormal to electron
Electrondirection
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Background evaluations
Backgrounds to the electron signature for no jets events (1) a high-p charged pion ( hadron ) misidentified as an electron or overlapping with π ⇒ negligible (2) high-p π , η or γ converted to an e e pair with one leg missed ⇒ negligible (3) heavy quark associated production followed by pathological fragmentation and decay configuration ⇒ negligible
( Fig.2,3 )
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Search for electron candidatesWe require conditions ; ( i ) three conditions on the track for isolated tracks ( 2125 events → 167 events ) ( ii ) two conditions to enhance its electromagnetic nature ( 167 events → 39 events )
+ ‐
3. Analysis
⇒ (1) with no jet activity ( 5 events ) (2) with a jet opposite to the track (11 events ) (3) with two jets or clear e e conversion pairs ( 23 events )
Now , we find that ,
Fig.2
Fig.3
・ events with a jet have no missing energy・ events with no jets show missing energy
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Search for events with energetic neutrinosTaking 2125 events again , we operate conditions.
These events with jet are likely to be hadrons , and without jet electrons . ( Fig.4 )
These jetless events include previous 5 events . ( electron candidates)
⇒ (1) E ≠ 0 ( 10 events ) (2) E = 0 (8 events )
( i ) two conditions of a high missing transverse energy and the candidate track not part of a jet
( 2125 events → 70 events )
( ii ) removing undetectable events( 70 events → 31 events )
⇒ (1) E > 0.01 E ( 21 events ) (2) E < 0.01 E ( 10 events ) ( iii ) with no high-p track in the small-θ cone
( 31 events → 18 events )
⇒ (1) without jet ( 7 events ) (2) with jet opposite to the track (11 events )
Events without jets
Events with jets
Fig.4
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m (e,ν) = (|p
1. Introduction
W ( Intermediate Vector Bosons of weak interaction ) : cf.) Z also of weak interaction , of electromagnetic interaction , g of strong interaction ・ mediating the β-decay ( Fig.1 ) ・ of very large masses about 80 GeV
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±
Discovery of W±
-p + p → W + X
e + ν( -)
±
±
◎ We look for the following event ;p
p-uud
u-d-u-
W+
νe
e+
collision
two-body decay
n p
νe-
e‐W-
Fig.1 β-decay
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