Southern Methodist University February 13-15, 2017 Introduction - - PowerPoint PPT Presentation
Southern Methodist University February 13-15, 2017 Introduction - - PowerPoint PPT Presentation
Santa Fe Jets and Heavy Flavor Workshop Vector boson production in pPb and PbPb collisions at the LHC and its impact on nCTEQ15 PDFs arxiv: 1610.02925 Florian Lyonnet with A. Kusina, D.B. Clark, E. Godat, T. Jezo, K. Kovarik, F.I. Olness, I.
Introduction W/Z@LHC Reweighting Conclusion
Methodology: Parametrization:
◮ e.g. xgp/A(x, Q2) = c0xc1(1 − x)c2ec3x(1 + ec4x)c5 ◮ ck → ck,0 + ck,1(1 − A−ck,2)
Global fit to various experimental data
◮ DIS ◮ DY ◮ Pion production
10
- 4
10
- 3
10
- 2
10
- 1
10
x
10
- 1
10 10
1
10
2
10
3
Q2 [GeV2 ]
NMC EMC SLAC BCDMS Hermes FNAL E665 DY: FNAL
10−2 ≤ x ≤ 0.7
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 2 / 20
Introduction W/Z@LHC Reweighting Conclusion
Methodology: Parametrization:
◮ e.g. xgp/A(x, Q2) = c0xc1(1 − x)c2ec3x(1 + ec4x)c5 ◮ ck → ck,0 + ck,1(1 − A−ck,2)
He/D Li/D Be/D C/D N/D Al/D Ca/D Fe/D Cu/D Kr/D Ag/D Sn/D Xe/D W/D Au/D Pb/D C/Li Ca/Li Fe/Be W/Be Be/C Al/C Ca/C Fe/C Sn/C Pb/C DAu/pp 0.0 0.5 1.0 1.5 2.0 2.5
χ2 /dof DIS DIS & DY DIS DIS & DY DIS DY DIS DY DIS
π0
32 11 3 47 28 3 26 33 27 12 2 8 2 9 3 3 7 7 28 28 14 14 21 14 111 14 32
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 2 / 20
Introduction W/Z@LHC Reweighting Conclusion
Methodology: Parametrization:
◮ e.g. xgp/A(x, Q2) = c0xc1(1 − x)c2ec3x(1 + ec4x)c5 ◮ ck → ck,0 + ck,1(1 − A−ck,2)
nCTEQ15
A total of 740 points after kinematical cuts
◮ χ2 = 587.4 ⇒ χ2/d.o.f = 0.81
Error analysis via the Hessian method
◮ 32 Eigenvalues Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 2 / 20
Introduction W/Z@LHC Reweighting Conclusion
10
- 3
10
- 2
10
- 1
1
x
2 4 6 8 10 12 14 16
xf p/A
g
10
- 3
10
- 2
10
- 1
1
x
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
xf p/A
s
A=1 A=4 A=9 A=12 A=27 A=40 A=56 A=84 A=119 A=131 A=197 A=208 10
- 3
10
- 2
10
- 1
1
x
0.0 0.1 0.2 0.3 0.4 0.5 0.6
xf p/A
uv
10
- 3
10
- 2
10
- 1
1
x
0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35
xf p/A
dv
10
- 3
10
- 2
10
- 1
1
x
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
xf p/A
u
10
- 3
10
- 2
10
- 1
1
x
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
xf p/A
d
10
- 3
10
- 2
10
- 1
1
x
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
xf p/A
¯ u
10
- 3
10
- 2
10
- 1
1
x
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
xf p/A
¯ d
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 3 / 20
Introduction W/Z@LHC Reweighting Conclusion Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 4 / 20
Introduction W/Z@LHC Reweighting Conclusion
To go further: Include LHC data on pPb (and possibly PbPb) collisions
◮ LHCb: σ(Z → ℓ+ℓ−) ◮ ALICE: σ(W +(−) → ℓ+(−)ν(¯
ν))
◮ ATLAS: dσ(Z → ℓ+ℓ−)/dy, dσ(W +(−) → ℓ+(−)ν(¯
ν))/dy, Aℓ
◮ CMS: dσ(Z → ℓ+ℓ−)/dy,
dσ(W +(−) → ℓ+(−)ν(¯ ν))/dy, Aℓ, AFB
√spp = 7 TeV ⇒ sPbPb = 2.76 TeV √spp = 8 TeV ⇒ spPb = 5.02 TeV
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 5 / 20
Introduction W/Z@LHC Reweighting Conclusion
To go further: Include LHC data on pPb (and possibly PbPb) collisions
◮ LHCb: σ(Z → ℓ+ℓ−) ◮ ALICE: σ(W +(−) → ℓ+(−)ν(¯
ν))
◮ ATLAS: dσ(Z → ℓ+ℓ−)/dy, dσ(W +(−) → ℓ+(−)ν(¯
ν))/dy, Aℓ
◮ CMS: dσ(Z → ℓ+ℓ−)/dy,
dσ(W +(−) → ℓ+(−)ν(¯ ν))/dy, Aℓ, AFB
√spp = 7 TeV ⇒ sPbPb = 2.76 TeV √spp = 8 TeV ⇒ spPb = 5.02 TeV ⇒ Vector boson production in pPb and PbPb collisions at the LHC
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 5 / 20
Introduction W/Z@LHC Reweighting Conclusion
I) Introduction II) LHC pPb and PbPb data III) Impact on the nCTEQ15 fit - Reweighting Analysis IV) Conclusion
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 6 / 20
Introduction W/Z@LHC Reweighting Conclusion
Kinematics
x2 is the momentum fraction in the Lead nucleus
10−4 10−3 10−2 10−1 1
x1
10−4 10−3 10−2 10−1 1
x2
y = − 4 y = − 3 y = − 2 y = − 1 y = y = 1 y = 2 y = 3 y = 4
2 . 7 6 T e V W ± Z 5 . 2 T e V W ± Z
p
S = 8 T e V W ± Z
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 7 / 20
Introduction W/Z@LHC Reweighting Conclusion
Kinematics
x2 is the momentum fraction in the Lead nucleus
10-4 10-3 10-2 10-1 100
x2
5 4 3 2 1 1 2 3 4
y
W ± A W
ℓ
A W
FB
Z A Z
FB
ATLAS LHCb CMS ALICE Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 7 / 20
Introduction W/Z@LHC Reweighting Conclusion
Kinematics
x2 is the momentum fraction in the Lead nucleus
10-4 10-3 10-2 10-1 100
x2
5 4 3 2 1 1 2 3 4
y
W ± A W
ℓ
A W
FB
Z A Z
FB
ATLAS LHCb CMS ALICE
All predictions @NLO using custom FEWZ
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 7 / 20
Introduction W/Z@LHC Reweighting Conclusion
PbPb
0.0 0.5 1.0 1.5 2.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
1 σtot dσ dyZ CMS Z →µµ PbPb,
ps =2.76 TeV
nCTEQ15 CT10
0.0 0.5 1.0 1.5 2.0
yZ
0.6 0.8 1.0 1.2 1.4
R
CT10: Lead nucleus made of CT10 protons
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 8 / 20
Introduction W/Z@LHC Reweighting Conclusion
PbPb
3 2 1 1 2 3 0.05 0.10 0.15 0.20 0.25 0.30
1 σtot dσ dyZ ATLAS Z PbPb
ps = 2. 76 TeV
nCTEQ15 CT10
3 2 1 1 2 3
yZ
0.6 0.8 1.0 1.2 1.4
R
CT10: Lead nucleus made of CT10 protons
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 8 / 20
Introduction W/Z@LHC Reweighting Conclusion
PbPb
0.0 0.5 1.0 1.5 2.0 2.5 0.4 0.3 0.2 0.1 0.0 0.1 0.2 0.3 0.4
Al
ATLAS PbPb, W char. asym.
ps = 2. 76 TeV
nCTEQ15 CT10
0.0 0.5 1.0 1.5 2.0 2.5
|yl|
2 1 1 2 3
R
CT10: Lead nucleus made of CT10 protons
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 8 / 20
Introduction W/Z@LHC Reweighting Conclusion
PbPb
0.0 0.5 1.0 1.5 2.0 0.4 0.3 0.2 0.1 0.0 0.1 0.2 0.3 0.4
Al
CMS PbPb, W char. asym.
ps = 2. 76 TeV
nCTEQ15 CT10
0.0 0.5 1.0 1.5 2.0
|yl|
6 4 2 2 4 6
R
CT10: Lead nucleus made of CT10 protons
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 8 / 20
Introduction W/Z@LHC Reweighting Conclusion
PbPb
Comments
Not really sensitive to nuclear corrections Uncertainties too large to bring constraints on nPDFs
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 8 / 20
Introduction W/Z@LHC Reweighting Conclusion
pPb : Z
3 2 1 1 2 3 5 10 15 20 25 30 35
dσ(Z → ll)/dyZ [nb]
ATLAS pPb
ps = 5. 02 TeV
nCTEQ15 CT10 Data
3 2 1 1 2 3
yZ
0.50 0.75 1.00 1.25 1.50
R
CT10: Lead nucleus made of CT10 protons
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 9 / 20
Introduction W/Z@LHC Reweighting Conclusion
pPb : Z
2 1 1 2 5 10 15 20 25
dσ(Z → ll)/dyZ [nb]
CMS pPb
ps = 5. 02 TeV
nCTEQ15 CT10 Data
2 1 1 2
yZ
0.6 0.8 1.0 1.2 1.4
R
CT10: Lead nucleus made of CT10 protons
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 9 / 20
Introduction W/Z@LHC Reweighting Conclusion
pPb : W +
2 1 1 2 20 40 60 80 100
dσ(W + → l + ν)/dyl + [nb]
ATLAS pPb
ps = 5. 02 TeV
nCTEQ15 CT10 Data
2 1 1 2
yl +
0.6 0.8 1.0 1.2 1.4
R
CT10: Lead nucleus made of CT10 protons
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 10 / 20
Introduction W/Z@LHC Reweighting Conclusion
pPb : W +
2 1 1 2 20 40 60 80 100 120
dσ(W + → l + ν)/dyl + [nb]
CMS pPb
ps = 5. 02 TeV
nCTEQ15 CT10 Data
2 1 1 2
yl +
0.6 0.8 1.0 1.2 1.4
R
CT10: Lead nucleus made of CT10 protons
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 10 / 20
Introduction W/Z@LHC Reweighting Conclusion
pPb : W −
2 1 1 2 20 40 60 80 100 120
dσ(W − → l − ¯ ν)/dyl − [nb]
CMS pPb
ps = 5. 02 TeV
nCTEQ15 CT10 Data
2 1 1 2
yl −
0.6 0.8 1.0 1.2 1.4
R
CT10: Lead nucleus made of CT10 protons
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 10 / 20
Introduction W/Z@LHC Reweighting Conclusion
pPb : W −
2 1 1 2 20 40 60 80 100
dσ(W − → l − ¯ ν)/dyl − [nb]
ATLAS pPb
ps = 5. 02 TeV
nCTEQ15 CT10 Data
2 1 1 2
yl −
0.6 0.8 1.0 1.2 1.4
R
CT10: Lead nucleus made of CT10 protons
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 10 / 20
Introduction W/Z@LHC Reweighting Conclusion
pPb : W −
4 2 2 4 20 40 60 80 100
σ(W − → l − ¯ ν) [nb]
ALICE pPb
ps = 5. 02 TeV
nCTEQ15 CT10 Data
4 2 2 4
yl −
0.50 0.75 1.00 1.25 1.50
R
CT10: Lead nucleus made of CT10 protons
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 10 / 20
Introduction W/Z@LHC Reweighting Conclusion
Remarks:
Overall good description of the data
◮ Very good for y < 0 where nCTEQ15 has data. ◮ Some leverage in the y > 0 (low x) region ⇒ mainly
extrapolation
ALICE and LHCb ⇒ interesting with more data Potential constraining power from the ATLAS and CMS W + rapidity distributions. In particular where we don’t have data at the moment at x ∼ 3 × 10−3 ⇒ shadowing region
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 11 / 20
Introduction W/Z@LHC Reweighting Conclusion
Strange quark
Correlation of W + vs W − cross section with CMS (pPb) Strange is fixed in nCTEQ15 Compare 2 vs 5 flavours scenario
220 240 260 280 300 320 340 360 380 400
σ(pPb → W − → ℓ − ¯ ν) [nb]
250 300 350 400 450 500
σ(pPb → W + → ℓ + ν) [nb]
2 flavours 5 flavours nCTEQ15
- CTEQ6. 1 + EPS
CT10 + EPS CT10 data
The impact of the strange is ∼ 30% Most of the difference between CT10+EPS09 and nCTEQ15 is the underlying strange contribution in CT10 Nuclear corrections very close to each other
◮ Consistently lower than
proton-proton results ⇒ shadowing sets up too early ?
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 12 / 20
Introduction W/Z@LHC Reweighting Conclusion
Strange quark
As we move from y < 0 to y > 0 ⇒ high-x to low-x
◮ I.e. from well constrained to less constrained
70 80 90 100 110 120 130
σ(pPb → W − → ℓ − ¯ ν) [nb]
60 70 80 90 100 110 120
σ(pPb → W + → ℓ + ν) [nb] y < − 1
CMS
80 100 120 140 160 180
σ(pPb → W − → ℓ − ¯ ν) [nb]
120 140 160 180 200 220 240
σ(pPb → W + → ℓ + ν) [nb] |y| < 1
2 flavours 5 flavours nCTEQ15
- CTEQ6. 1 + EPS
CT10 + EPS CT10 data
30 40 50 60 70 80 90 100 110 120
σ(pPb → W − → ℓ − ¯ ν) [nb]
40 60 80 100 120 140 160 180 200
σ(pPb → W + → ℓ + ν) [nb] y > 1
At y < 0 nuclear corrections > 0 ⇒ pull results toward data As we move to higher y it seems we are little short ⇒ shadowing region Hypothetic: small negative s − ¯ s asymmetry at high-x ?
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 13 / 20
Introduction W/Z@LHC Reweighting Conclusion
I) Introduction II) LHC pPb and PbPb data III) Impact on the nCTEQ15 fit - Reweighting Analysis IV) Conclusion
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 14 / 20
Introduction W/Z@LHC Reweighting Conclusion
Reweighting Technique
We study the impact of the data set via a Baysian Reweighting Technique
General Idea
(i) Generate Replica: fk(x) = f0 +
- i
1 2
- f+
i − f− i
- Rik
(ii) Calculate Giele-Keller weights: wk = exp − 1
2χ2 k 1 Nrep
- i exp − 1
2χ2 i
(iii) Then one can estimate the weighted average and standard deviation: < O >= 1 Nrep
- k
wkO(fk) δ < O >=
- 1
Nrep
- k
wk(O(fk)− < O >)2
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 15 / 20
Introduction W/Z@LHC Reweighting Conclusion
Reweighting Technique
We study the impact of the data set via a Baysian Reweighting Technique
General Idea
(i) Generate Replica: fk(x) = f0 +
- i
1 2
- f+
i − f− i
- Rik
(ii) Calculate Giele-Keller weights: wk = exp − 1
2χ2 k 1 Nrep
- i exp − 1
2χ2 i
(iii) Then one can estimate the weighted average and standard deviation: < O >= 1 Nrep
- k
wkO(fk) δ < O >=
- 1
Nrep
- k
wk(O(fk)− < O >)2
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 15 / 20
Introduction W/Z@LHC Reweighting Conclusion
Reweighting Technique
We study the impact of the data set via a Baysian Reweighting Technique
General Idea
(i) Generate Replica: fk(x) = f0 +
- i
1 2
- f+
i − f− i
- Rik
(ii) Calculate Giele-Keller weights: wk = exp − 1
2χ2 k 1 Nrep
- i exp − 1
2χ2 i
(iii) Then one can estimate the weighted average and standard deviation: < O >= 1 Nrep
- k
wkO(fk) δ < O >=
- 1
Nrep
- k
wk(O(fk)− < O >)2
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 15 / 20
Introduction W/Z@LHC Reweighting Conclusion
All Data on pPb
Perform reweighting of the previously presented data on p − Pb collisions Using 104 replicas
1 2 3 4 5 6 7 8
weights
10 -1 10 0 10 1 10 2 10 3 10 4 Giele-Keller Weights
Reasonable weights, regular fall down distribution of weights No excessive values or irregular paterns
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 16 / 20
Introduction W/Z@LHC Reweighting Conclusion
All Data on pPb
LHCB Z FWD ATLAS WPM ASYM ALICE WM BWD ALICE WP FWD CMS WP ALICE WM FWD ATLAS WM LHCB Z BWD ALICE WP BWD ATLAS WP CMS WPM ASYM CMS Z CMS WM CMS Z AFB CMS WPM RATIO ATLAS Z 1 2 3 4 5 6
χ2/Ndata(Ndata = 102) before : 2. 43 after : 1. 88 χ2
before/Ndata
χ2
after/Ndata
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 17 / 20
Introduction W/Z@LHC Reweighting Conclusion
All Data on pPb
ATLAS reweighted distribution:
3 2 1 1 2 3 30 40 50 60 70 80 90 100 110
χ2/Ndata before : 1. 31 after : 0. 97
ATLAS W +
data before rew. after rew.
3 2 1 1 2 3
yℓ +
0.7 0.8 0.9 1.0 1.1 1.2 1.3
R
χ2/Ndata decreases from 1.31 to 0.97 As expected, distribution is pulled toward the data at y > 0 Not so much at y < 0 ⇒ limit of the parametrization?
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 18 / 20
Introduction W/Z@LHC Reweighting Conclusion
All Data on pPb
CMS Forward Backward: AFB(yℓ) = dNℓ±(+ylab) dNℓ±(−ylab)
0.0 0.5 1.0 1.5 2.0 2.5 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6
χ2/Ndata before : 4. 03 after : 1. 78
CMS AFB
data before rew. after rew.
0.0 0.5 1.0 1.5 2.0 2.5
yℓ
0.7 0.8 0.9 1.0 1.1 1.2 1.3
R
As expected, distribution is pulled toward the data χ2/Ndata decreases from 4.01 to 1.78
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 19 / 20
Introduction W/Z@LHC Reweighting Conclusion
Impact on the PDFs
up quark distribution at Q = 10 GeV
10-3 10-2 10-1 100 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
xuPb(x)
Q = 10 GeV, Nrep = 10000
before rew. after rew.
10-3 10-2 10-1 100
x
0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4
R
Impact of data still limited Remarks: Results obtained once these data in the fit may be different
◮ Might be able to open more
parameters ⇒ fit strange
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 20 / 20
Introduction W/Z@LHC Reweighting Conclusion
I) Introduction II) LHC pPb and PbPb data III) Impact on the nCTEQ15 fit - Reweighting Analysis IV) Conclusion
Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 21 / 20
Introduction W/Z@LHC Reweighting Conclusion
Conclusion
nCTEQ project is moving fast
◮ Publish new fit, nCTEQ15 with Hessian error analysis ⇒ PDFs
for any nuclei
◮ In the process of including LHC W/Z production data
First step: performed detailed study of the nCTEQ15 predictions for these observables Investigated reweighting technique to assess the power of this data
◮ Seems that the impact is limited in this setup ◮ Could still open possibilities and in particular to fit strange
quark PDF
◮ Will also be interesting to compare reweighting vs actual fits Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 22 / 20
Introduction W/Z@LHC Reweighting Conclusion Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 18 / 20
Introduction W/Z@LHC Reweighting Conclusion Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 19 / 20
Introduction W/Z@LHC Reweighting Conclusion Florian LYONNET Santa Fe Jets and Heavy Flavor Workshop February 13-15, 2017 20 / 20