Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 1 of 28
B Physics: QCD Monte Carlo Model Predictions
Rick Field - University of Florida
and Keith Ellis - Fermilab
Goals: • Compare the LO parton level predictions of Herwig, Isajet,
and Pythia with the NLO MRSR2 predictions. • Compare the LO parton level predictions with the LO
hadron level predictions (Herwig, Isajet, Pythia). • Compare the LO hadron level predictions of Herwig, Isajet,
and Pythia. Outline: • Integrated Cross Sections (parton level) • Transverse Momentum Distributions (parton level) • Pseudo-Rapidity & Rapidity Distributions (parton level) • Integrated Cross Sections (hadron level) • Transverse Momentum Distributions (hadron level) • PT Distributions Parton/Hadron (fragmentation) • Strange Quark Production fs/(fu+fd) (fragmentation) • Y and ηη Distributions Hadron versus Parton • Comparisons between 1.8 TeV and 2.0 TeV • Azimuthal ∆φ∆φ Correlations Hadron and Parton • PT Correlations Hadron and Parton (PT1-PT2) • Pseudo-Rapidity Correlations: dσσ/dηη1dηη2 & R(ηη1,ηη2)
QCD Monte Carlo Models (default parameters):Herwig 5.9 (DO1.1, ΛΛ = 0.18 GeV)Isajet 7.32 (CTEQ3L, ΛΛ = 0.20 GeV)Pythia 6.115 (GRV94LO, ΛΛ = 0.23 GeV)
Pythia 6.115 (CTEQ3L, ΛΛ = 0.18 GeV)
Run 2 Workshop on QCD CDF B-Group Meeting Run 2 Workshop of B Physics
63 Plots!
This Talk
http://www.phys.ufl.edu/~rfield/cdf/Bplots_feb25.pdf
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 2 of 28
B Physics: Cross Sections Parton Level: Integrated b-quark Cross Section for PT > PTmin
Integrated b-quark Cross Section for PT > PTmin
1.0E-03
1.0E-02
1.0E-01
1.0E+00
1.0E+01
1.0E+02
5 10 15 20 25 30 35 40
PTmin (GeV)
MRSR2 b-quark
Herwig b-quark
Isajet b-quark
PythiaC3L b-quark
Pythia b-quark
1.8 TeVall y
σσ µµb
Plot shows σσ(PT>PTmin) (in µµb) for b-quarks at 1.8 TeV (all Y). Parton Level: Integrated b-quark Cross Section for PT > PTmin
Integrated b-quark Cross Section for PT > PTmin
1.0E-03
1.0E-02
1.0E-01
1.0E+00
1.0E+01
1.0E+02
5 10 15 20 25 30 35 40
PTmin (GeV)
MRSR2 b-quark
Herwig b-quark times 2
Isajet b-quark times 2
Pythia b-quark times 2
1.8 TeVall y
σσ µµb
Plot shows σσ(PT>PTmin) (in µµb) for b-quarks at 1.8 TeV (all Y). Herwig, Isajet, and Pythia have been increased by a factor of two.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 3 of 28
B Physics: Cross Sections Parton Level: Ratio MRSR2/Monte-Carlos
Integrated b-quark Cross Section for PT > PTmin
1
2
3
4
5 10 15 20 25 30 35 40
PTmin (GeV)
MRSR2/Herwig
MRSR2/Isajet
MRSR2/PythiaC3L
MRSR2/Pythia
1.8 TeVall y
Plot shows the ratio of σσ(PT>PTmin) for b-quarks at 1.8 TeV (all Y) from MRSR2 to Herwig, Isajet, Pythia, and PythiaC3L.
Parton Level: Integrated b-quark Cross Section for PT > PTmin
Integrated b-quark Cross Section for PT > PTmin
1.0E-03
1.0E-02
1.0E-01
1.0E+00
1.0E+01
5 10 15 20 25 30 35 40
PTmin (GeV)
MRSR2 b-quark
Herwig b-quark
Isajet b-quark
Pythia b-quark
D0 Data
CDF Data
σσ µµb
1.8 TeV|y| < 1
Plot shows σσ(PT>PTmin) (in µµb) for b-quarks at 1.8 TeV (|Y|<1).
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 4 of 28
B Physics: Cross Sections Parton Level: Integrated b-quark Cross Section for PT > PTmin
Integrated b-quark Cross Section for PT > PTmin
1.0E-03
1.0E-02
1.0E-01
1.0E+00
1.0E+01
1.0E+02
5 10 15 20 25 30 35 40
PTmin (GeV)
MRSR2 b-quark times 2
Herwig b-quark times 4
Isajet b-quark times 4
Pythia b-quark times 4
D0 Data
CDF Data
σσ µµb
1.8 TeV|y| < 1
Plot shows σσ(PT>PTmin) (in µµb) for b-quarks at 1.8 TeV (|Y|<1). MRSR2 has been increased by a factor of two and Herwig, Isajet, and Pythia have been increased by a factor of four.
Parton Level: Ratio MRSR2/Monte-Carlos
Integrated b-quark Cross Section for PT > PTmin
1
2
3
4
5 10 15 20 25 30 35 40
PTmin (GeV)
MRSR2/Herwig
MRSR2/Isajet
MRSR2/Pythia
1.8 TeV|y| < 1
Plot shows the ratio of σσ(PT>PTmin) for b-quarks at 1.8 TeV (|Y| < 1) from MRSR2 to Herwig, Isajet, and Pythia.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 5 of 28
B Physics: Cross Sections Parton Level: Fraction |Y| < 1 of the b-quark Cross Section
Fraction |y|<1 of the Integrated b-quark Cross Section
30%
40%
50%
60%
70%
5 10 15 20 25 30 35 40
PTmin (GeV)
MRSR2 b-quark Herwig b-quark Isajet b-quark Pythia b-quark
1.8 TeV
Plot shows the fraction |Y| < 1 of the b-quark integrated cross section (PT < PTmin). Parton Level: Fraction |ηη| < 1 of the b-quark Cross Section
Fraction |eta|<1 of the Integrated b-quark Cross Section
30%
40%
50%
60%
70%
5 10 15 20 25 30 35 40
PTmin (GeV)
MRSR2 b-quark Herwig b-quark Isajet b-quark Pythia b-quark
1.8 TeV
Plot shows the fraction |ηη| < 1 of the b-quark integrated cross section (PT < PTmin).
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 6 of 28
B Physics: PT Distributions Parton Level: Transverse Momentum Distribution (|ηη| < 1)
Transverse Momentum Distribution dσσ/dPT
1.0E-05
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
1.0E+01
5 10 15 20 25 30 35 40 45 50
PT (GeV)
MRSR2 b-quark
Herwig b-quark
Isajet b-quark
Pythia b-quark
µµb/GeV
1.8 TeV|eta| < 1
Plot shows dσσ/dPT (in µµb/GeV) for b-quarks at 1.8 TeV (|ηη|<1). Parton Level: Transverse Momentum Distribution (|ηη| < 1)
Transverse Momentum Distribution (b-quark)
1
2
3
4
5 10 15 20 25 30 35 40 45 50
PTmin (GeV)
MRSR2/Isajet MRSR2/Herwig MRSR2/Pythia
1.8 TeV|eta| < 1
Plot shows the ratio of dσσ/dPT for b-quarks at 1.8 TeV (|ηη| < 1) from MRSR2 to Herwig, Isajet, and Pythia.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 7 of 28
B Physics: Pseudo-Rapidity Distributions Parton Level: Pseudo-Rapidity Distributions (PT > 5 GeV)
Pseudo-Rapidity Distribution
0
1
2
3
4
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Pseudo-Rapidity ηη
MRSR2 b-quark Herwig b-quark Isajet b-quark PythiaC3L b-quark Pythia b-quark
dσσ/dηη (µµb)
1.8 TeVPT > 5 GeV
Plot shows dσσ/dηη (in µµb) for b-quarks at 1.8 TeV (PT > 5 GeV).
Parton Level: Pseudo-Rapidity Distributions (PT > 5 GeV)
Pseudo-Rapidity Distribution (normalized to 1)
0.00
0.05
0.10
0.15
0.20
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Pseudo-Rapidity ηη
MRSR2 b-quark Herwig b-quark Isajet b-quark PythiaC3L b-quark Pythia b-quark
(1/N)dN/dηη
1.8 TeVPT > 5 GeV
Plot shows (1/N)dN/dηη (normalized to 1) for b-quarks at 1.8 TeV (PT > 5 GeV).
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 8 of 28
B Physics: Rapidity Distributions Parton Level: Rapidity Distributions (PT > 5 GeV)
Rapidity Distribution
0
1
2
3
4
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Rapidity Y
MRSR2 b-quark Herwig b-quark Isajet b-quark Pythia b-quark
1.8 TeVPT > 5 GeV
dσσ/dY (µµb)
Plot shows dσσ/dY (in µµb) for b-quarks at 1.8 TeV (PT > 5 GeV). Parton Level: Rapidity Distributions (PT > 5 GeV)
Rapidity Distribution (normalized to 1)
0.00
0.05
0.10
0.15
0.20
0.25
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Rapidity Y
MRSR2 b-quark Herwig b-quark Isajet b-quark Pythia b-quark
1.8 TeVPT > 5 GeV
(1/N)dN/dY
Plot shows (1/N)dN/dY (normalized to 1) for b-quarks at 1.8 TeV (PT > 5 GeV).
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 9 of 28
B Physics: Cross Sections Hadron Level: Integrated B-quark Cross Section for PT > PTmin
Integrated Cross Section for PT > PTmin
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
1.0E+01
5 10 15 20 25 30 35 40 45
PTmin (GeV)
Pythia b-quark
Pythia B-mesons
Isajet b-quark
Isajet B-mesons
Herwig b-quark
Herwig B-mesons
σσ µµb
B-mesons = (B+,B0,Bs0)
1.8 TeV|eta| < 1
B-mesons
b-quark
Plot shows σσ(PT>PTmin) (in µµb) for B-mesons (B+,B0,Bs
0) and b-quarks at 1.8 TeV
(|ηη| < 1). Hadron Level: Integrated B-quark Cross Section for PT > PTmin
Integrated Cross Section for PT > PTmin
1.0E-07
1.0E-06
1.0E-05
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
1.0E+01
5 10 15 20 25 30 35 40 45
PTmin (GeV)
σσ µµb
Isajet at 1.8 TeV|eta| < 1
B-mesons fromtop quarks
B-mesons frombottom quarks
B-mesons = (B+,B0,Bs0)
Plot shows σσ(PT>PTmin) (in µµb) for B-mesons (B+,B0,Bs
0) from b and t-quarks 1.8
TeV (|ηη| < 1).
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 10 of 28
B Physics: PT Distributions Parton & Hadron Level: Transverse Momentum Distribution (|ηη| < 1)
Transverse Momentum Distribution dσσ/dPT
1.0E-05
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
5 10 15 20 25 30 35 40 45 50
PT (GeV)
Pythia b-quark
Pythia B-mesons
Isajet b-quark
Isajet B-mesons
Herwig b-quark
Herwig B-mesons
1.8 TeV|eta| < 1
B-mesons = (B+,B0,Bs0)
µµb/GeV
B-mesons
b-quark
Plot shows dσσ/dPT (in µµb/GeV) for B-mesons (B+,B0,Bs
0) and for the b-quark at 1.8
TeV (|ηη|<1). Hadron/Parton Level: Transverse Momentum Distribution (|ηη| < 1)
(B-meson)/(b-quark) Ratio versus PT
0%
20%
40%
60%
80%
100%
5 10 15 20 25 30 35 40 45 50
PT (GeV)
Pythia Herw ig Isajet
B-mesons = (B+,B0,Bs0)
1.8 TeV|eta| < 1
Plot shows the ratio of dσσ/dPT (|ηη| < 1) for B-mesons (B+,B0,Bs
0) to b-quark at 1.8 TeV.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 11 of 28
B Physics: PT Distributions Hadron Level: B+ Meson Transverse Momentum Distribution (|Y| < 1)
B+ Meson Transverse Momentum Distribution
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
5 10 15 20 25 30 35 40
PT (GeV)
Herwig B+ meson Isajet B+ meson Pythia B+ meson CDF Data CDF Data CDF Data
µµb/GeV
1.8 TeV|Y| < 1
Plot shows dσσ/dPT (in µµb/GeV) for B+ mesons at 1.8 TeV (|Y| < 1). Hadron Level: B+ Meson Transverse Momentum Distribution (|Y| < 1)
B+ Meson Transverse Momentum Distribution
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
5 10 15 20 25 30 35 40
PT (GeV)
Herwig times 4 Isajet times 4 Pythia times 4 CDF Data CDF Data CDF Data
µµb/GeV
1.8 TeV|Y| < 1
Plot shows dσσ/dPT (in µµb/GeV) for B+ mesons at 1.8 TeV (|Y| < 1). The QCD Monte-Carlo predictions have been increased by a factor of four.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 12 of 28
B Physics: Fragmentation
CDF Run I Old FF fu 0.408+/-0.068 0.4 fd 0.344+/-0.039 0.4 fs 0.159+/-0.026 0.2 fbaryon 0.089+/-0.029 0.0 fs/(fu+fd) 0.213+/-0.068 0.25
Hadron Level: fs/(fu+fd) Ration versus PT (|ηη| < 1)
fs/(fu+fd) Ratio versus PT
0%
10%
20%
30%
40%
5 10 15 20 25 30
PT (GeV)
Herwig Isajet Pythia CDF Data
1.8 TeV|eta| < 1
Old FF
Plot shows the ratio fs/(fu+fd) at 1.8 TeV (|ηη| < 1), where fs = dσσ/dPT(Bs
0), fu =
dσσ/dPT(B+), and fd = dσσ/dPT(B0).
uK+
s
sbarfs
uππ+
d
dbarfd
bbarB+
ubar
ufu
bbarBs0
sbar
sfs
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 13 of 28
B Physics: Y and ηη Distributions Parton & Hadron Level: Pseudo-Rapidity Distribution
Pseudo-Rapidity Distribution (normalized to 1)
0.00
0.05
0.10
0.15
0.20
0.25
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Pseudo-Rapidity ηη
Isajet b-quark Isajet B-mesons Isajet b-quark Isajet B-mesons
(1/N)dN/dηη
Isajet at 1.8 TeV B-mesons = (B+,B0,Bs0)
PT > 5 GeV
PT > 10 GeV
Plot shows (1/N)dN/dηη (normalized to 1) for B-mesons (B+,B0,Bs
0) and for the b-quark at 1.8 TeV (PT > 5 GeV and PT > 10 GeV). Parton & Hadron Level: Rapidity Distribution
Rapidity Distribution (normalized to 1)
0.00
0.05
0.10
0.15
0.20
0.25
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Rapidity Y
Isajet b-quark Isajet B-mesons Isajet b-quark Isajet B-mesons
(1/N)dN/dY
Isajet at 1.8 TeV B-mesons = (B+,B0,Bs0)
PT > 5 GeV
PT > 10 GeV
Plot shows (1/N)dN/dY (normalized to 1) for B-mesons (B+,B0,Bs
0) and for the b-quark at 1.8 TeV (PT > 5 GeV and PT > 10 GeV).
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 14 of 28
B Physics: Y and ηη Distributions Parton & Hadron Level: Pseudo-Rapidity Distribution
Pseudo-Rapidity Distribution
0.00
0.05
0.10
0.15
0.20
0.25
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Pseudo-Rapidity ηη
Herwig b-quark Herwig B-mesons Herwig b-quark Herwig B-mesons
Herwig at 1.8 TeV
(1/N)dN/dηη
B-mesons = (B+,B0,Bs0)
PT > 5 GeV
PT > 10 GeV
Plot shows (1/N)dN/dηη (normalized to 1) for B-mesons (B+,B0,Bs
0) and for the b-quark at 1.8 TeV (PT > 5 GeV and PT > 10 GeV). Parton & Hadron Level: Rapidity Distribution
Rapidity Distribution (normalized to 1)
0.00
0.05
0.10
0.15
0.20
0.25
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Rapidity Y
Herwig b-quark Herwig b-quark Herwig B-mesons Herwig B-mesons
Herwig at 1.8 TeV
(1/N)dN/dY
B-mesons = (B+,B0,Bs0)
PT > 5 GeV
PT > 10 GeV
Plot shows (1/N)dN/dY (normalized to 1) for B-mesons (B+,B0,Bs
0) and for the b-quark at 1.8 TeV (PT > 5 GeV and PT > 10 GeV).
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 15 of 28
B Physics: Y and ηη Distributions Parton & Hadron Level: Pseudo-Rapidity Distribution
Pseudo-Rapidity Distribution
0.00
0.05
0.10
0.15
0.20
0.25
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Pseudo-Rapidity ηη
Pythia b-quark Pythia B-mesons Pythia b-quark Pythia B-mesons
Pythia at 1.8 TeV
(1/N)dN/dηη
B-mesons = (B+,B0,Bs0)
PT > 5 GeV
PT > 10 GeV
Plot shows (1/N)dN/dηη (normalized to 1) for B-mesons (B+,B0,Bs
0) and for the b-quark at 1.8 TeV (PT > 5 GeV and PT > 10 GeV). Parton & Hadron Level: Rapidity Distribution
Rapidity Distribution (normalized to 1)
0.00
0.05
0.10
0.15
0.20
0.25
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Rapidity Y
Pythia b-quark Pythia B-mesons Pythia b-quark Pythia B-mesons
Pythia at 1.8 TeV
(1/N)dN/dY
B-mesons = (B+,B0,Bs0)
PT > 5 GeV
PT > 10 GeV
Plot shows (1/N)dN/dY (normalized to 1) for B-mesons (B+,B0,Bs
0) and for the b-quark at 1.8 TeV (PT > 5 GeV and PT > 10 GeV).
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 16 of 28
B Physics: Azimuthal Correlations
Beam Axis
∆φ∆φ
b-quark or B-mesons
bbar-quark orBbar-mesons
PT1PT2
Parton Level: Azimuthal ∆φ∆φ Distribution
Azimuthal ∆φ ∆φ Distribution (normalized to 1)
0.000
0.010
0.020
0.030
0.040
90 100 110 120 130 140 150 160 170 180
∆φ∆φ = |φφ2-φφ1| (degrees)
MRSR2 b-quark Herwig b-quark Isajet b-quark Pythia b-quark
1.8 TeV1 = b-quark 2 = bbar-quark
|eta1| < 1 |eta2| < 1PT1 > 5 GeV
(1/N)dN/d∆φ∆φ
Plot shows (1/N)dN/d∆φ∆φ (normalized to 1), where ∆φ∆φ = |φφ2-φφ1| for 1 = b-quark and 2
= bbar-quark at 1.8 TeV with |ηη1| < 1, |ηη2| < 1, and PT1 > 5 GeV.
Hadron Level: Azimuthal ∆φ∆φ Distribution
Azimuthal ∆ φ ∆ φ Distribution (normalized to 1)
0.000
0.010
0.020
0.030
0.040
90 100 110 120 130 140 150 160 170 180
∆φ∆φ = |φφ2-φφ1| (degrees)
Herwig B-meson Isajet B-mesons Pythia B-meson
B-mesons = (B+,B0,Bs0)
1.8 TeV1 = B-meson 2 = Bbar-meson
|eta1| < 1 |eta2| < 1PT1 > 5 GeV
(1/N)dN/d∆φ∆φ
Plot shows (1/N)dN/d∆φ∆φ (normalized to 1), where ∆φ∆φ = |φφ2-φφ1| for 1 = B-mesons
(B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη1| < 1, |ηη2| < 1, and PT1 > 5 GeV.
Measures intrensic PT, gluon radiation, fragmentation.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 17 of 28
B Physics: Azimuthal Correlations Parton & Hadron Level: Azimuthal ∆φ∆φ Distribution
Azimuthal ∆φ ∆φ Distribution (normalized to 1)
0.000
0.010
0.020
0.030
90 100 110 120 130 140 150 160 170 180
∆φ∆φ = |φφ2-φφ1| (degrees)
Herwig b-quark Herwig B-meson
1.8 TeV1 = b-quark or B-meson
2 = bbar-quark or Bbar-meson|eta1| < 1 |eta2| < 1
PT1 > 5 GeV
(1/N)dN/d∆φ∆φ
B-mesons = (B+,B0,Bs0)
Plot shows (1/N)dN/d∆φ∆φ (normalized to 1), where ∆φ∆φ = |φφ2-φφ1| for 1 = b-quark and 2
= bbar-quark and for 1 = B-mesons (B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV
with |ηη1| < 1, |ηη2| < 1, and PT1 > 5 GeV. Parton & Hadron Level: Azimuthal ∆φ∆φ Distribution
Azimuthal ∆φ ∆φ Distribution (normalized to 1)
0.000
0.010
0.020
0.030
0.040
90 100 110 120 130 140 150 160 170 180
∆φ∆φ = |φφ2-φφ1| (degrees)
Pythia b-quark Pythia B-meson
1.8 TeV1 = b-quark or B-meson
2 = bbar-quark or Bbar-meson|eta1| < 1 |eta2| < 1
PT1 > 5 GeV
(1/N)dN/d∆φ∆φ
B-mesons = (B+,B0,Bs0)
Plot shows (1/N)dN/d∆φ∆φ (normalized to 1), where ∆φ∆φ = |φφ2-φφ1| for 1 = b-quark and 2
= bbar-quark and for 1 = B-mesons (B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV
with |ηη1| < 1, |ηη2| < 1, and PT1 > 5 GeV.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 18 of 28
B Physics: Azimuthal Correlations Hadron Level: Azimuthal ∆φ∆φ Distribution
Azimuthal ∆φ ∆φ Distribution (normalized to 1)
0.000
0.010
0.020
0.030
0.040
0 20 40 60 80 100 120 140 160 180
∆φ∆φ = |φφ2-φφ1| (degrees)
Herwig B-meson Isajet B-meson Pythia B-meson PythiaC3L B-meson
B-mesons = (B+,B0,Bs0)
1.8 TeV1 = B-meson 2 = Bbar-meson
|eta1| < 1 |eta2| < 1PT1 > 5 GeV
(1/N)dN/d∆φ∆φ
Plot shows (1/N)dN/d∆φ∆φ (normalized to 1), where ∆φ∆φ = |φφ2-φφ1| for 1 = B-mesons
(B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη1| < 1, |ηη2| < 1, and PT1 > 5 GeV.
Hadron Level: Azimuthal ∆φ∆φ Distribution
Azimuthal ∆φ ∆φ Distribution (normalized to 1)
0.000
0.020
0.040
0.060
90 100 110 120 130 140 150 160 170 180
∆φ∆φ = |φφ2-φφ1| (degrees)
1.8 TeV1 = B-meson
2 = Bbar-meson|eta1| < 1 |eta2| < 1
(1/N)dN/d∆φ∆φ
B-mesons = (B+,B0,Bs0)
PT1 > 5 GeV
PT1 > 10 GeV
PT1 > 25 GeVHerwig B-mesons
Plot shows (1/N)dN/d∆φ∆φ (normalized to 1), where ∆φ∆φ = |φφ2-φφ1| for 1 = B-mesons
(B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη1| < 1, |ηη2| < 1, and PT1 > 5, 10,
and 25 GeV.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 19 of 28
B Physics: Azimuthal Correlations Hadron Level: Azimuthal ∆φ∆φ Distribution
Azimuthal ∆φ ∆φ Distribution (normalized to 1)
0.000
0.020
0.040
0.060
90 100 110 120 130 140 150 160 170 180
∆φ∆φ = |φφ2-φφ1| (degrees)
1.8 TeV1 = B-meson
2 = Bbar-meson|eta1| < 1 |eta2| < 1
(1/N)dN/d∆φ∆φ
B-mesons = (B+,B0,Bs0)
PT1 > 5 GeV
PT1 > 10 GeV
PT > 25 GeV
Pythia B-mesons
Plot shows (1/N)dN/d∆φ∆φ (normalized to 1), where ∆φ∆φ = |φφ2-φφ1| for 1 = B-mesons
(B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη1| < 1, |ηη2| < 1, and PT1 > 5, 10,
and 25 GeV. Hadron Level: Azimuthal ∆φ∆φ Distribution
Azimuthal ∆φ ∆φ Distribution (normalized to 1)
0.000
0.010
0.020
0.030
0.040
0.050
90 100 110 120 130 140 150 160 170 180
∆φ∆φ = |φφ2-φφ1| (degrees)
Herwig B-meson Isajet B-mesons Pythia B-meson
1.8 TeV1 = B-meson 2 = Bbar-meson
|eta1| < 1 |eta2| < 1PT1 > 10 GeV
B-mesons = (B+,B0,Bs0)
(1/N)dN/d∆φ∆φ
Plot shows (1/N)dN/d∆φ∆φ (normalized to 1), where ∆φ∆φ = |φφ2-φφ1| for 1 = B-mesons
(B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη1| < 1, |ηη2| < 1, and PT1 > 10
GeV.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 20 of 28
B Physics: PT Correlations
Beam Axis
∆φ∆φ
b-quark or B-mesons
bbar-quark orBbar-mesons
PT1PT2
Parton Level: Transverse Momentum Correlations
Transverse Momentum Correlations dσσ/d∆∆PT
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
-20 -15 -10 -5 0 5 10 15 20
∆∆PT = PT1 - PT2 (G e V )
Herwig b-quark Isajet b-quark Pythia b-quark
1.8 TeV1 = b quark 2 = bbar quark
|eta1|< 1 |eta2|<1 |phi1-phi2|>90 degPT2 > 5 GeV
dσσ/d∆∆PT (µµb/Gev)
Plot shows dσσ/d∆∆PT (µµb/GeV), where ∆∆PT = PT1-PT2 for 1 = b-quark and 2 =
bbar-quark at 1.8 TeV with |ηη1| < 1, |ηη2| < 1, |φφ1-φφ2| > 90o, and PT2 > 5 GeV.
Parton Level: Transverse Momentum Correlations
PT Correlations (normalized to 1)
0.00
0.05
0.10
0.15
0.20
-15 -10 -5 0 5 10 15
∆∆PT = PT1 - PT2 (GeV)
Herwig b-quark Isajet b-quark Pythia b-quark
(1/N)dN/d∆∆PT
1.8 TeV1 = b quark 2 = bbar quark
|eta1|< 1 |eta2|<1 |phi1-phi2|>90 degPT2 > 5 GeV
Plot shows (1/N)dN/d∆∆PT (1/GeV), where ∆∆PT = PT1-PT2 for 1 = b-quark and 2 =
bbar-quark at 1.8 TeV with |ηη1| < 1, |ηη2| < 1, |φφ1-φφ2| > 90o, and PT2 > 5 GeV.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 21 of 28
B Physics: PT Correlations Hadron Level: Transverse Momentum Correlations
PT Correlations (normalized to 1)
0.00
0.05
0.10
0.15
0.20
-15 -10 -5 0 5 10 15
∆∆PT = PT1 - PT2 (GeV)
Herwig B-mesons Isajet B-mesons Pythia B-mesons
1.8 TeV1 = B-mesons 2 = Bbar-mesons
|eta1|< 1 |eta2|<1 |phi1-phi2|>90 degPT2 > 5 GeV
(1/N)dN/d∆∆PT
B-mesons = (B+,B0,Bs0)
Plot shows (1/N)dN/d∆∆PT (1/GeV), where ∆∆PT = PT1-PT2 for 1 = B-mesons
(B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη1| < 1, |ηη2| < 1, |φφ1-φφ2| > 90o, and
PT2 > 5 GeV.
Parton & Hadron Level: Transverse Momentum Correlations
PT Correlations (normalized to 1)
0.00
0.05
0.10
0.15
-15 -10 -5 0 5 10 15
∆∆PT = PT1 - PT2 (GeV)
Herwig b-quark Herwig B-mesons
(1/N)dN/d∆∆PT
1.8 TeV1 = b-quark or B-mesons
2 = bbar-quark or Bbar-mesons|eta1|< 1 |eta2|<1 |phi1-phi2|>90 deg
PT2 > 5 GeV
B-mesons = (B+,B0,Bs0)
Plot shows (1/N)dN/d∆∆PT (1/GeV), where ∆∆PT = PT1-PT2 for 1 = b-quark and 2 =
bbar-quark and for 1 = B-mesons (B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with
|ηη1| < 1, |ηη2| < 1, |φφ1-φφ2| > 90o, and PT2 > 5 GeV.
Measures intrensic PT, gluon radiation, and fragmentation.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 22 of 28
B Physics: PT Correlations Parton & Hadron Level: Transverse Momentum Correlations
PT Correlations (normalized to 1)
0.00
0.05
0.10
0.15
-15 -10 -5 0 5 10 15
∆∆PT = PT1 - PT2 (GeV)
Herwig b-quark Herwig B-mesons Herwig b-quark Herwig B-mesons
(1/N)dN/d∆∆PT
1.8 TeV1 = b-quark or B-mesons
2 = bbar-quark or Bbar-mesons|eta1|< 1 |eta2|<1 |phi1-phi2|>90 deg
B-mesons = (B+,B0,Bs0)
PT2 > 10 GeV
PT2 > 5 GeV
Plot shows (1/N)dN/d∆∆PT (1/GeV), where ∆∆PT = PT1-PT2 for 1 = b-quark and 2 =
bbar-quark and for 1 = B-mesons (B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with
|ηη1| < 1, |ηη2| < 1, |φφ1-φφ2| > 90o, and PT2 > 5 and 10 GeV.
Parton & Hadron Level: Transverse Momentum Correlations
PT Correlations (normalized to 1)
0.00
0.05
0.10
0.15
0.20
-15.0 -10.0 -5.0 0.0 5.0 10.0 15.0
∆∆PT = PT1 - PT2 (GeV)
Isajet b-quark Isajet B-mesons Isajet b-quark Isajet B-mesons
(1/N)dN/d∆∆PT (1/Gev)
1.8 TeV1 = b-quark or B-mesons
2 = bbar-quark or Bbar-mesons|eta1|< 1 |eta2|<1 |phi1-phi2|>90 deg
B-mesons = (B+,B0,Bs0)
PT2 > 10 GeV
PT2 > 5 GeV
Plot shows (1/N)dN/d∆∆PT (1//GeV), where ∆∆PT = PT1-PT2 for 1 = b-quark and 2 =
bbar-quark and for 1 = B-mesons (B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with
|ηη1| < 1, |ηη2| < 1, |φφ1-φφ2| > 90o, and PT2 > 5 and 10 GeV.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 23 of 28
B Physics: PT Correlations Hadron Level: Transverse Momentum Correlations
PT Correlations (normalized to 1)
0.00
0.05
0.10
0.15
0.20
-15 -10 -5 0 5 10 15
∆∆PT = PT1 - PT2 (GeV)
Herwig B-mesons Isajet B-mesons Pythia B-mesons PythiaC3L B-mesons
1.8 TeV1 = B-mesons 2 = Bbar-mesons
|eta1|< 1 |eta2|<1 |phi1-phi2|>90 degPT2 > 5 GeV
B-mesons = (B+,B0,Bs0)
(1/N)dN/d∆∆PT
Plot shows (1/N)dN/d∆∆PT (1/GeV), where ∆∆PT = PT1-PT2 for 1 = B-mesons
(B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη1| < 1, |ηη2| < 1, |φφ1-φφ2| > 90o, and
PT2 > 5 GeV.
Hadron Level: Transverse Momentum Correlations
PT Correlations (normalized to 1)
0.00
0.05
0.10
0.15
-15 -10 -5 0 5 10 15
∆∆PT = PT1 - PT2 (GeV)
Herwig B-mesons Isajet B-mesons Pythia B-mesons PythiaC3L B-mesons
1.8 TeV1 = B-mesons 2 = Bbar-mesons
|eta1|< 1 |eta2|<1 |phi1-phi2|>90 degPT2 > 10 GeV
B-mesons = (B+,B0,Bs0)
(1/N)dN/d∆∆PT
Plot shows (1/N)dN/d∆∆PT (1/GeV), where ∆∆PT = PT1-PT2 for 1 = B-mesons
(B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη1| < 1, |ηη2| < 1, |φφ1-φφ2| > 90o, and
PT2 > 10 GeV.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 24 of 28
B Physics: Pseudo-Rapidity Correlations Correlation Functions:
212
2121
11),(
ησ
ησ
σηησ
σηη
d
d
d
d
dd
dC −=
“Normalized” Correlation Functions:
−=
212
212
2121
111),(
ησ
ησ
σησ
ησ
σηησ
σηη
dd
dd
dd
dd
ddd
R
“Integrated” (a < ηη2 < b) Normalized Correlation Functions:
∫∫
−=
b
a
b
a
ddd
dd
ddd
dd
ddd
R 221
2221
221
1
111)( η
ησ
ησ
ση
ησ
ησ
σηησ
ση
Hadron Level: Pseudo-Rapidity Correlations (|ηη2| < 0.5)
Pseudo-Rapidity Correlations dσσ/dηη1dηη2
0.000
0.005
0.010
0.015
0.020
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Pseudo-Rapidity ηη11
Herwig B-mesons Isajet B-mesons PythiaC3L B-mesons Pythia B-mesons
(1/σσ)dσσ/dηη1dηη2
1.8 TeV |eta2| < 0.51 = B-mesons 2 =Bbar-mesons
|PT1| < 5 GeV |PT2| < 5 GeV|phi1-phi2|>90 deg
eta2
Plot shows (1/σσ)dσσ/dηη1dηη2 versus ηη1, for 1 = B-mesons (B+,B0,Bs
0) and 2 = Bbar-
mesons at 1.8 TeV with |ηη2| < 0.5, |φφ1-φφ2| > 90o, PT1 > 5 GeV, and PT2 > 5 GeV.
Double-Differential Cross Section
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 25 of 28
B Physics: Pseudo-Rapidity Correlations Hadron Level: Pseudo-Rapidity Correlations (1 < |ηη2| < 2)
Pseudo-Rapidity Correlations dσσ/dηη1dηη2
0.000
0.005
0.010
0.015
0.020
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Pseudo-Rapidity ηη11
Herwig B-mesons Isajet B-mesons PythiaC3L B-mesons Pythia B-mesons
(1/σσ)dσσ/dηη1dηη2
1.8 TeV 1<|eta2|<21 = B-mesons 2 = Bbar-mesons
|PT1|< 5 GeV |PT2|< 5 GeV|phi1-phi2|>90 deg
eta2
Plot shows (1/σσ)dσσ/dηη1dηη2 versus ηη1, for 1 = B-mesons (B+,B0,Bs
0) and 2 = Bbar-
mesons at 1.8 TeV with 1 < |ηη2| < 2, |φφ1-φφ2| > 90o, PT1 > 5 GeV, and PT2 > 5 GeV.
Hadron Level: Pseudo-Rapidity Correlations (1 < |ηη2| < 2)
Pseudo-Rapidity Correlations dσσ /dηη 1dηη 2
0.000
0.001
0.002
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Pseudo-Rapidity ηη11
Herw ig B -mesons Isajet B -mesons Pyth iaC3L B-mesons Pythia B-mesons
(1/σσ)d σσ/d ηη1d ηη2
1.8 TeV 1<|eta2|<2
1 = B -mesons 2 = Bbar-mesons
|PT1|< 10 G e V |PT2|< 10 GeV
|ph i1-ph i2|>90 deg
eta2
Plot shows (1/σσ)dσσ/dηη1dηη2 versus ηη1, for 1 = B-mesons (B+,B0,Bs
0) and 2 = Bbar-
mesons at 1.8 TeV with 1 < |ηη2| < 2, |φφ1-φφ2| > 90o, PT1 > 10 GeV, and PT2 > 10 GeV.
Measures PDF’s, fragmentation.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 26 of 28
B Physics: Pseudo-Rapidity Correlations Parton & Hadron Level: Pseudo-Rapidity Correlations
Pseudo-Rapidity Correlations dσσ/dηη1dηη2
0.000
0.005
0.010
0.015
0.020
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Pseudo-Rapidity ηη11
Isajet b-quark Isajet b-quark Isajet B-mesons Isajet B-mesons
(1/σσ)dσσ/dηη1dηη2
|eta2| < 0.5
1 < |eta2| < 2Isajet at 1.8 TeV
1 = b-quark or B-mesons2 = bbar quark or Bbar-mesons
|PT1|< 5 GeV |PT2|<5 GeV|phi1-phi2|>90 deg
Plot shows (1/σσ)dσσ/dηη1dηη2 versus ηη1, for 1 = b-quark and 2 = bbar-quark and for 1
= B-mesons (B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη2| < 0.5 and with 1 <
ηη2 < 2 and |φφ1-φφ2| > 90o, PT1 > 5 GeV, and PT2 > 5 GeV.
Parton & Hadron Level: Pseudo-Rapidity Correlations
Pseudo-Rapidity Correlations dσσ/dηη1dηη2
0.000
0.005
0.010
0.015
0.020
0.025
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Pseudo-Rap id ity ηη11
Herwig b-quark Herwig b-quark Herwig B-mesons Herwig B-mesons
Herwig at 1.8 TeV1 = b-quark or B-mesons
2 = bbar quark or Bbar-mesons|PT1|< 5 GeV |PT2|<5 GeV
|phi1-phi2|>90 deg
(1/σσ)dσσ/dηη1dηη2
|eta2| < 0.5
1 < |eta2| < 2
Plot shows (1/σσ)dσσ/dηη1dηη2 versus ηη1, for 1 = b-quark and 2 = bbar-quark and for 1
= B-mesons (B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη2| < 0.5 and with 1 <
ηη2 < 2 and |φφ1-φφ2| > 90o, PT1 > 5 GeV, and PT2 > 5 GeV.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 27 of 28
B Physics: Pseudo-Rapidity Correlations Parton & Hadron Level: Pseudo-Rapidity Correlations
Pseudo-Rapidity Correlations dσσ/dηη1dηη2
0.000
0.005
0.010
0.015
0.020
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Pseudo-Rapidity ηη11
Pythia b-quark Pythia b-quark Pythia B-mesons Pythia B-mesons
Pythia at 1.8 TeV1 = b-quark or B-mesons
2 = bbar quark or Bbar-mesons|PT1|< 5 GeV |PT2|<5 GeV
|phi1-phi2|>90 deg
(1/σσ)dσσ/dηη1dηη2
|eta2| < 0.5
1 < |eta2| < 2
Plot shows (1/σσ)dσσ/dηη1dηη2 versus ηη1, for 1 = b-quark and 2 = bbar-quark and for 1
= B-mesons (B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη2| < 0.5 and with 1 <
ηη2 < 2 and |φφ1-φφ2| > 90o, PT1 > 5 GeV, and PT2 > 5 GeV.
Rick Field & Keith Ellis Run 2 Workshop – February 2000 Page 28 of 28
B Physics: Correlation Functions Hadron Level: “Normalized” Correlation Function
Pseudo-Rapidity Correlations R(ηη1)
-1.0
-0.8
-0.6
-0.4
-0.2
0.0
-4 -3 -2 -1 0 1 2 3 4
Pseudo-Rapidity ηη11
Herwig B-mesons Isajet B-mesons PythiaC3L B-mesons Pythia B-mesons
R(ηη1)
1.8 TeV |eta2| < 0.51 = B-mesons 2 =Bbar-mesons
|PT1|< 5 GeV |PT2| < 5 GeV|phi1-phi2|>90 deg
eta2
Plot shows the normalized correlation function R(ηη1) versus ηη1, for 1 = B-mesons
(B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with |ηη2| < 0.5 and |φφ1-φφ2| > 90o, PT1 >
5 GeV, and PT2 > 5 GeV.
Hadron Level: “Normalized” Correlation Function
Pseudo-Rapidity Correlations R(ηη1)
-1.0
-0.8
-0.6
-0.4
-0.2
0.0
-4 -3 -2 -1 0 1 2 3 4
Pseudo-Rapidity ηη 11
Herwig B-mesons Isajet B-mesons PythiaC3L B-mesons Pythia B-mesons
1.8 TeV 1<|eta2|<21 = B-mesons 2 = Bbar-mesons
|PT1|< 5 GeV |PT2| < 5 GeV|phi1-phi2|>90 deg
R(ηη1)
eta2
Plot shows the normalized correlation function R(ηη1) versus ηη1, for 1 = B-mesons
(B+,B0,Bs0) and 2 = Bbar-mesons at 1.8 TeV with 1 < ηη2 < 2 and |φφ1-φφ2| > 90o, PT1 >
5 GeV, and PT2 > 5 GeV.
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