Fragmentationsfunktionen, Multiplizität und H1
Transcript of Fragmentationsfunktionen, Multiplizität und H1
Fragmentationsfunktionen, Multiplizität und H1
Nicolas du Fresne von Hohenesche
Bonn Meeting 19.12.2012
COMPASS
Nicolas du Fresne von Hohenesche FF und H1
Semiinklusive tiefinelastische Streuung
Nachweis eines Hadrons h inKoinzidenz mit einem gestreutenLepton l �
l + N = l � + h + X
Zusätzliche Variablen: z, xf
Nicolas du Fresne von Hohenesche FF und H1
Fragmentationsfunktionen
Nicht farbneutrale Fragmente nach der Streuung vorhanden ⇒HadronisierungWelche Hadronen entstehen? Und wieviele? ⇒Fragmentationsfunktionen Dh
q(z): nicht normierteWahrscheinlichkeit, dass aus Quark q eine Hadron h entstehtmit dem Impulsbruchteil z⇒ FF sind Umkehrungen von Quarkverteilung q(x)Eigenschaften von Dh
q :�
h
� 1
0z · Dh
f (Q2, z)dz = 1
nh =�
f
� 1
zSchwelle
Dhf (Q
2, z)dz
Unabhängig vom Streuprozess (⇒ Unabhängigkeit von x)Universalität, d.h. unabhängig von der Produktionsart desQuark, das hadronisiert
Nicolas du Fresne von Hohenesche FF und H1
Multiplizität als Observable
Multiplizität für Hadron vom Typ h
1σtot
dσh
dz=
1Ntot
dNh
dz=
�q e2
qq(x)Dhq(z)�
q e2qq(x)
Gemessen werden Summen von Fragmentationsfunktion mitunterschiedlichen Gewichtungen
Nicolas du Fresne von Hohenesche FF und H1
Fragmentationsfunktion II
Es gibt viele Fragmentationsfunktionen, z.B.:Dπ+
u , Dπ−u , Dπ+
u , DK−u , Dπ0
u usw.Isospinsymmetrie und Ladungskonjugation:
Dπ+
u = Dπ+
d = Dπ−d = Dπ−
u → favoured
Dπ+
u = Dπ+
d = Dπ−
d = Dπ−u → unfavoured
Unterscheidung von favoured und unfavoured
Annahmen:Dfav > Dunfav
alle nonfavoured FF sind gleichalle favoured FF von leichten Quarks in Pionen sind gleich
Nicolas du Fresne von Hohenesche FF und H1
Herangehensweise
Standard Event-SelektionBest Primary VertexReconstructed µ and µ�
Target cutAuswahl des Hadrons
Stromquark (xf oder z)0.1 < x < 0.5 Valenzquarkregion oder Seequarkregion10 GeV/c2 < p < 50 GeV/c2 für Identifikation im RICH
⇒ Messen von Hadronen (π, K und p)
Nicolas du Fresne von Hohenesche FF und H1
Hadron-Identifikation: RICH
cosθ =1
n · β
Schwelleneffekt für verschiedene Teilchenarten (n, m)Verschmierung bei hohen ph
Nicolas du Fresne von Hohenesche FF und H1
H1 als Flugzeitdetektor
Ähnliche Akzeptanz wie RICHGute ZeitauflösungLimitation: Luftlichleiter, Loch
Nicolas du Fresne von Hohenesche FF und H1
TOF
Time-of-flight Methode als Teilchenidentifikation? Auflösung:
∆t =L
E1 − E2≈ Lc
2p2 (m21 − m2
2)
∆t = 4σt für K, π Trennung
Zutaten:(tj -ts) : Differenz(tj+ts)/2 : Meantimevscinti
KalibrationTrackingImpuls-Rekonstruktion
Nicolas du Fresne von Hohenesche FF und H1
RPD als Vorbild
TOF wird beim RPD verwendet (→ RPDhelper)Unterschiede: keine Ring A, SM1
Startcounter
Nicolas du Fresne von Hohenesche FF und H1
Test: FI01 als Startcounter
FI01 hitsVertex-Zeit mit v=c2012 Carbon-DatenVgl. mit Meantime (hier:Track-Time)
htemp3Entries 1827626Mean 0.5215RMS 1.592
-10 -8 -6 -4 -2 0 2 4 6 8 100
20
40
60
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100
120
310× htemp3Entries 1827626Mean 0.5215RMS 1.592
timeFI01
htemp2Entries 411876Mean -49.6RMS 11.17
-70 -65 -60 -55 -50 -45 -40 -35 -30
1000
2000
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htemp2Entries 411876Mean -49.6RMS 11.17
Zprim {Zprim>-70&& Zprim<-30}htemp1
Entries 411876Mean 27.13RMS 1.494
22 24 26 28 30 32 34 36 380
5000
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htemp1Entries 411876Mean 27.13RMS 1.494
vertex_time {Zprim>-70&& Zprim<-30}
Nicolas du Fresne von Hohenesche FF und H1
Zeitkalibration
Hier meantime für schmallen Streifen in der Mitte (ExtrapolierteTracks)
0 5 10 15 20 25 30
-844
-842
-840
-838
-836
-834
-832
-830
-828
-826calibration
Entries 235705Mean x 15.7Mean y -836.5RMS x 5.48RMS y 2.04
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1400
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2000
calibrationEntries 235705Mean x 15.7Mean y -836.5RMS x 5.48RMS y 2.04
calibrationcalibration_1
Entries 26Mean 15.5RMS 8.12
calibration_1Entries 26Mean 15.5RMS 8.12
calibration_1Entries 26Mean 15.5RMS 8.12
calibration_1Entries 26Mean 15.5RMS 8.12
calibration_1Entries 26Mean 15.5RMS 8.12
calibration_1Entries 26Mean 15.5RMS 8.12
calibration_1Entries 26Mean 15.5RMS 8.12
Für Jura und SaleveNicolas du Fresne von Hohenesche FF und H1
Geschwindigkeit im Szintillator Saleve
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Fitted value of par[1]=MeanHG01Y1_s_t_ch2_1
Entries 230
Mean -0.6388
RMS 66.43
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch3_1
Entries 230
Mean -0.4753
RMS 66.43
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch4_1
Entries 229
Mean -0.2485
RMS 66.22
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch5_1
Entries 230
Mean -0.697
RMS 66.47
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch6_1
Entries 230
Mean -0.9024
RMS 66.29
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch7_1
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Mean -0.4782
RMS 66.34
Fitted value of par[1]=Mean
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-1100
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Fitted value of par[1]=MeanHG01Y1_s_t_ch8_1
Entries 230
Mean -0.6313
RMS 66.49
Fitted value of par[1]=Mean
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-1100
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Fitted value of par[1]=MeanHG01Y1_s_t_ch9_1
Entries 230
Mean -0.7511
RMS 66.46
Fitted value of par[1]=Mean
-100 -50 0 50 100
-1100
-1000
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Fitted value of par[1]=MeanHG01Y1_s_t_ch10_1
Entries 230
Mean -0.7628
RMS 66.42
Fitted value of par[1]=Mean
-100 -50 0 50 100
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Fitted value of par[1]=MeanHG01Y1_s_t_ch11_1
Entries 230
Mean -0.8026
RMS 66.48
Fitted value of par[1]=Mean
-100 -50 0 50 100
-1100
-1000
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Fitted value of par[1]=MeanHG01Y1_s_t_ch12_1
Entries 230
Mean -0.7048
RMS 66.57
Fitted value of par[1]=Mean
-100 -50 0 50 100
-1100
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Fitted value of par[1]=MeanHG01Y1_s_t_ch13_1
Entries 230
Mean -0.7003
RMS 66.6
Fitted value of par[1]=Mean
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-1100
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Fitted value of par[1]=MeanHG01Y1_s_t_ch14_1
Entries 230
Mean -0.7648
RMS 66.58
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch15_1
Entries 196
Mean 0.3675
RMS 71.82
Fitted value of par[1]=Mean
-100 -50 0 50 100
-1000
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Fitted value of par[1]=MeanHG01Y1_s_t_ch16_1
Entries 196
Mean 0.02937
RMS 72.05
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch17_1
Entries 230
Mean -0.7071
RMS 66.62
Fitted value of par[1]=Mean
-100 -50 0 50 100
-1200
-1100
-1000
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Fitted value of par[1]=MeanHG01Y1_s_t_ch18_1
Entries 230
Mean -0.8505
RMS 66.55
Fitted value of par[1]=Mean
-100 -50 0 50 100
-1200
-1100
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Fitted value of par[1]=MeanHG01Y1_s_t_ch19_1
Entries 230
Mean -1.509
RMS 66.83
Fitted value of par[1]=Mean
-100 -50 0 50 100
-1300
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Fitted value of par[1]=MeanHG01Y1_s_t_ch20_1
Entries 230
Mean -1.636
RMS 66.8
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch21_1
Entries 230
Mean -1.327
RMS 66.77
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch22_1
Entries 230
Mean -0.724
RMS 66.35
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch23_1
Entries 230
Mean -0.9654
RMS 66.55
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch24_1
Entries 230
Mean -0.996
RMS 66.61
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch25_1
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Mean -0.7657
RMS 66.38
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch26_1
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Mean -0.7171
RMS 66.51
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch27_1
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Mean -0.6297
RMS 66.52
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch28_1
Entries 229
Mean -0.3703
RMS 66.26
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_s_t_ch29_1
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Mean -0.6529
RMS 66.49
Fitted value of par[1]=Mean
Nicolas du Fresne von Hohenesche FF und H1
Geschwindigkeit im Szintillator Jura
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Fitted value of par[1]=MeanHG01Y1_j_t_ch2_1
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Mean 0.7829
RMS 66.5
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch3_1
Entries 230
Mean 0.5321
RMS 66.49
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch4_1
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Mean 0.9778
RMS 66.59
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch5_1
Entries 230
Mean 0.8916
RMS 66.52
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch6_1
Entries 230
Mean 0.6262
RMS 66.48
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch7_1
Entries 230
Mean 0.6896
RMS 66.47
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch8_1
Entries 230
Mean 0.9791
RMS 66.54
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch9_1
Entries 230
Mean 0.9302
RMS 66.59
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch10_1
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Mean 0.7222
RMS 66.59
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch11_1
Entries 230
Mean 0.976
RMS 66.68
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch12_1
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Mean 0.966
RMS 66.58
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch13_1
Entries 230
Mean 1.314
RMS 66.82
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch14_1
Entries 230
Mean 0.5921
RMS 66.48
Fitted value of par[1]=Mean
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0
Fitted value of par[1]=MeanHG01Y1_j_t_ch15_1
Entries 196
Mean 2.074
RMS 72.12
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch16_1
Entries 196
Mean 1.851
RMS 72.1
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch17_1
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Mean 0.814
RMS 66.63
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch18_1
Entries 230
Mean 0.7953
RMS 66.58
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch19_1
Entries 230
Mean 1.101
RMS 66.76
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch20_1
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Mean 1.174RMS 66.72
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch21_1
Entries 230
Mean 1.776
RMS 66.82
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch22_1
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Mean 1.176
RMS 66.62
Fitted value of par[1]=Mean
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-160
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0
310×
Fitted value of par[1]=MeanHG01Y1_j_t_ch23_1
Entries 230
Mean 36.7
RMS 62.88
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch24_1
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Mean 0.7569
RMS 66.55
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch25_1
Entries 230
Mean 0.6404
RMS 66.54
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch26_1
Entries 230
Mean 0.9517
RMS 66.55
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch27_1
Entries 230
Mean 1.13
RMS 66.66
Fitted value of par[1]=Mean
-100 -50 0 50 100
-1150
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Fitted value of par[1]=MeanHG01Y1_j_t_ch28_1
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Mean 1.139
RMS 66.61
Fitted value of par[1]=Mean
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Fitted value of par[1]=MeanHG01Y1_j_t_ch29_1
Entries 230
Mean 0.6918
RMS 66.46
Fitted value of par[1]=Mean
Nicolas du Fresne von Hohenesche FF und H1