HAL Id: in2p3-00021997
http://hal.in2p3.fr/in2p3-00021997
Submitted on 30 Jun 2004
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Precision linearity studies of the ATLAS liquid argon
EM calorimeter
G. Graziani
To cite this version:
Giacomo Graziani
(LAL, Orsay)
for the ATLAS LAr EM Group
XI International Conference in Calorimetry in High Energy Physics
Perugia, Italy
➬
Electromagnetic Calorimetry for the general–purpose
ATLAS experiment at the LHC should provide a
linearity well within 1 % from the GeV to the TeV scale
and even much better in limited energy ranges
e.g. precision measurement of W mass requires a linearity
within a few 10
−
4
between 30 and 80 GeV
➬
First precision linearity measurement has been
performed on a LAr Barrel Calorimeter module,
exposed to electron beam (CERN H8 test line)
Need to know the beam energy scale to a few 10
−
4
=⇒
calibration of the beam line between 10 and 180 GeV
Need to understand in principle the most suitable energy
reconstruction procedure
=⇒
study detector response through accurate MC (Geant4)
simulation
Need to accurately inter–calibrate the detector layers
>?
E
beam
∝
Z
Bdl
AB CD EF D B G E CH I JK L I M JN COC9
B3
B4
B4
B3
B3
B4
B1
B2
B2
B1
B1
B2
C3
~27 mm/%
Target
∆P/P~1%
T4
C6
P Q QR SUT QVW X QY QZ RW Z [ S]\ ^ TQ V_ W Y ` T_ W a\ Z \b _ c_ [ Z Q a TWa S ` Q a X d e Wf Z ag Q Xh Q aV g i ej \k _ Z R R Q [ _ l X X QR m i _ _X b lZ V W a\ Z \b ag Q V lT T QZ a S l ` X QR W Z ag Q c_ [ Z Q a Xn o g Q V lT T QZ a W X c Q _ X lT QR ^ W ag10
−4
_ V V lT _ V p l X W Z [rq s s o n s _ W Y ` T_ W a\ Z S Q T b \ T c QR Y p st u P vw _a Q c \ Z _ T b Q TQ QZ V Q c_ [ Z Q aY p c _ Q X lTW Z [ ag Qx \ _` a [ Q W Z R lV QR Y p V lT T QZ a S l W` XZ [ \ Z _ Z_ T T \^ \ `\ S c _ R Q\b ^ a \ ^ W T Q X XTa Q aV g QR _ \ ` Z [ ag QY _ Q c S _ ag n y V V lT_ V p{z Y Q a a TQ ag_ Z10
−4
\ Z ag QT_ Z [ Q\b W Z a TQ Q X anHall Probe
vacuum chamber
Å v \ c Q c_ a TWQ _ ` d x _ V l l c ^ W Z R \ ^ X i XVW Z a W _ ` ` W a\ Z _ Z R s TQ QZ h \ x V \ lZ a TQ X i Q Va n m W X X SUT Q _ R _ \ ` Z [ ag Q
∼
c \ ` Z [ Y _ Q c ` W Z Qn e T Q c X X T_a g ` lZ [ S g \ \a Z X Q cW a a QR b _ Tb T \ c ag Q R Q a Q V \a T V_ Z Y Q \ ` X a=⇒
QÆ S Q V _a _ a W W ` Z ag QY _ Q c QZ Q T [ p R W X a TW Y l a W \ Z P\ a _ Q X p a \ SUT QRW V a ag Q Q Ç l W x _ ` QZ a _ c \ lZ a\b c_ a TWQ_ ` SUT \ R lVW Z [ ag Qk Q Q V a i QÆ S Q V aY ^ Q a Q QZ n È _ Z R n X
0
Y l ^ a Q V_ Z ~ a ag Q T Q V \ Z X Ta lV a QR QZ TQ [ p RW XTWa Y lW a\ Z X d _ b a TQ _ W a [ g a V l a_ [ _ W Z X a S W \ Z V \ Z _ a cW Z_ W a\ Z m z _ aW `_ X T ^ Q Q ` `T Q SUT \ R lV QR _ _a ` ` QZ TQ [ W Q^ X W ag _ s W X c _l ` a W \ Z W Z V ` lRW Z [ e T Q c n \ ` X X Q WX Z n ÉX
0
a _ W ` X i V \ Z x \ ` l a QR^ W ag ag QT Q \ X ` lW a\ Z i SUT \ R lV _Q Y W _ X\ Z ag Q S Q _ h Y ^ Q a Q QZ j n Ê Ë d Q m _ Z R n Ë d É Q m ag_ a g_ X a \ Y Q V \ T T Q V a QR0
50
100
150
200
250
300
350
400
12
14
16
0
200
400
600
800
1000
1200
1400
45
47.5
50
52.5
0
200
400
600
800
1000
1200
95
100
105
Reconstructed energy
15 GeV
15 GeV
15 GeV
MC
MC with 0.08 X
0
brem.
DATA
50 GeV
50 GeV
50 GeV
100 GeV
100 GeV
100 GeV
180 GeV
180 GeV
180 GeV
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∆ϕ = 0.0245
∆η = 0.025
37.5mm/8 = 4.69 mm
∆η = 0.0031
∆ϕ=0.0245
x4
36.8mm
x4
=147.3mm
Trigger Tower
Trigger
Tower
∆ϕ = 0.0982
∆η = 0.1
16X
0
4.3X
0
2X
0
1500 mm
470 mm
η
ϕ
η = 0
Strip towers in Sampling 1
Square towers in
Sampling 2
1.7X
0
Towers in Sampling 3
∆ϕ×∆η = 0.0245×0.05
η =
0
η =
0.687
η =
1.475
o g l X i X _ c S ` W Z [ b T_ V a W \ Z XV_ ` Q ^X W ag ag Q \ ` Z [ W a lRW Z_ ` Xg \ ^ Q T R x Q Q ` \ S c QZ a á\ T Xg \ ^ Q T X b l ` ` p V \ Z a _ W Z QR W Z ag Q _ V V \ T R W \ Z R Q a Q V \ a T i ag Q X _ c S ` W Z [ b T _ V a W \ Z Y Q V \ c Q X W Z R Q S QZ R QZ a \ Z QZ Q T [ p _ Z R \ Z ` \ Z [ W a lR W Z _ `ã lV a_ l a W \ Z X
=⇒
B C Cä Gå åæ D G K Cç B K CD å Gè ç é êD K çG BL Lë K ì CK ìD C C G å é å LD äç BL è G F CD í0
0.002
0.004
0.006
0.008
1500
1550
1600
1650
1700
1750
1800
1850
1900
1950
0.12
0.14
0.16
0.18
0.2
1500
1550
1600
1650
1700
1750
1800
1850
1900
1950
Energy profile
depth (mm)
10 GeV
Energy profile
100 GeV
Energy profile
500 GeV
depth (mm)
sampling fraction
depth relative to maximum
Lï Cð ñ í C C EF K C í Lï í LK í ê C L C ó ô G í í ð C K G ñõ ö ÷ G B ä GëK CD K ì C G å å LD äç L B ó è L B Eùø è C Gú G E C ÷
=⇒
D çC í äæ Gè ä C ô C B ä B C å C Lë G å å LD äç BL í Gò ô è ç B E ë D GåK ç BL BL Cð B CK ä C ô K ìû ó CK ç í ò K G Cä ë D Lò è BL E ç K æ äç B Gè í ì Lï CD ê GD F å B CK CD ÷ ø ø ø ê æ K ô D G åK ç å Gè è F C B CD EF ç B ä C ô C B ä C B K ü üACCORDION
event depth (X
0
)
ý Ä þ ì C B C CD EF è LK í æ ô í K D C Gò K ì C G å å LD äç BL ç í CK ç í ò K G Cä Cð C B K ê F Cð C B K ê F K ì C õ D C é í Gò ô è CD ÿB C å B G B ä Cò ô ç çD å Gè è F G ò G E ç å ï ç C E ì K K ì K G ò Gú C í K ì C æë è è ä K C CåK LD ç è B C GD ñ G B ä ò Gú C Kí ì C D Cå L B í K D æ åK Cä C B é CD EF ç B ä C ô C B ä C B K L B è L B E ø æ åK æ K G ç L B í K G K ì C í Gò C K ç ò CH
E ∝ (5.6 E
P S
+ E
ACCORD
)
æ B ë LDK æ B G K Cè F ñ K ì ç í ï C ç E ì K C B ì BG å C í í Gò ô è ç B E æ åK æ G é K ç BL ç í B K ì C õ ö=⇒
D C í æLè K ç BL ç í ä C E D Gä Cä-0.02
-0.01
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0
1
2
3
4
5
6
7
8
REAL DATA
Nonlinearity vs PS weight
Resolution vs PS weight
PSweight
a Q _ xa Q Q V \ X a lV a Q [ p _ X
E =
E
P S
f
s
e,P S
+
E
ACCORD
f
s
e,ACCORD
+
Fleakage
=⇒
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s
e,ACCORD
_ Z R ` \ Z [ n ` Q _ h_ [ Q b T _ V a W \ ZF
leakage
V_ Z Y Q S _ T _ c Q a TW QR \ Z ` p _ _X b l Z V a W \ Z \b ag Q x Q QZ a R Q S ag q _ Z Rη
T Q \ X ` l a W \ Z S Q T b \ T c_ Z V Q XR Q S QZ R V TW a W V_ ` ` p \ Z g \^f
s
e,P S
W X S _ T_ c Q TWa QR _ Z R g \^ ag Q S _ WX xX Q _c a Q TW _ Y ` ^ Q a Q QZ _v Z R v o uÞ v d∼
n X
0
m W X_ a h QZ W Z \ a _ V V \ lZ a SUT Q X QZ _a S SUT \ _ V g z Xg_ T Q ag Q c_ a TWQ _ ` Y ^ Q a Q QZf
e,P S
s
_ Z Rf
e,ACCORD
s
_ Z R S _ T_ c Q TWa QY \ ag _ _X b lZ V W a\ Z \b q i t _ Z Rη
l Z R Q T R x Q Q ` \ S c QZ a d a \ W c S T \ x Q T Q \ X ` l a W \ Z m z l S X Ta _ Q c QZ TQ [ p Y Q a a TQ R Q XV TW Y QR Y pa+bE
P S
_ S S ` p _ R | g \ V V \ T T QV W a\ Zb \ T ag Q S _ WX xX Q _c a TWQ _ ` d∝
√
E
P S
E
ST RIP S
m10 GeV
50 GeV
100 GeV
500 GeV
900 GeV
event depth (X
0
)
fraction of long. leakage
10
-3
10
-2
x L T V H \ P I HI O JI LT OY P K yz {| }~ ~ | } ~ | | ~ ~ ~ ~ | ~ ~ ~ | ~ ~ ~ ~ | ~ } ¡ | ~ ~ ~ ~
E
M I DDLE
cell
∼ 20
¢ £ } } ~ ¤10
−
3
All channels layer MIDDLE
HIGH gain region
MEDIUM gain region
E
free gain
(GeV)
®¯° ®± ²´³ ®µ ¯ ³ µ °¶ ·¸ ·¹ º° · ® ·» ¸ ¼ ½ ®¾ µ° ·¿ » ®À µ ¯° ¿ ·¹ °¶ · » ° · ·° ½ ®¿ ° ¿ ¹ µ ¯ º ·¿ ¯ · ² ¿ ~Á® · ¹ µ Á ¹ ¼ ¯ ³ ¯Â ² ¹ ¿ ¹ ° · ¿ ³Ã · ·Ä | Ä ¶ ¯ ®À ·¿ ² ¿ ~Á® · À ³°¶ ¿ ·¹ Á · Á · ½ ° ¿ ®µ ¯ Å ¹ µ » ¹ ² ² Á ¼ ¹
χ
2
½ ¾° Âχ
2
=
1
N − 3
layer=1,3
cells
(E
i
/E
layer
− f
l
(∆η, ∆φ))
2
σ
2
f
l
(∆η, ∆φ)
À ¶ ·¿ ·E
i
/E
layer
³ ¯ °¶ · ± ¿ ¹ ° ½ ³ ®µ ®± Á ¹ ¼ ·¿ ·µ ·¿ Æ ¼ ³ µ ½ · Á Ái
=⇒
½¾° ®µ Á ¼ » · ² · µ » ¯ ®µ ¯ ¶ ®À ·¿ ¯ ¶ ¹ ² · Å µ ® ° ®µ ¹¸ ¯ ® Á ¾° · ·µ ·¿ Æ ³ · ¯ ½ Á ·¹ ¿ ¯ ¾ ² ² ¿ ·¯ ¯ ³ ®µ ®± ²´³ ®µ ¯ ¶À ·µÁ ® ®ÇÉÈ ³ µ Æ ¹° °¶ °· ° ®Á ¹ ·µ ·¿ Æ ¼ ¹ µ »Ê Ë µ· ·¿ Æ ¼0
500
1000
0
1
2
3
4
5
6
7
8
9
10
10
10
2
10
3
20
40
60
80
100
120
140
160
180
transverse profile χ
2
Raw cluster energy
GeV
Ò ² ¿Á ·³ ³ µ ¹ ¿ ¼ Ó ä O I LT YO P K Ò µ ®¿ Á ¹ ³Ã · » ° Ï ® Ð Ð Ù · Ú Ó