Probing soft and hard radiations with Z (+ jets) Laurent Favart, - - PowerPoint PPT Presentation
Probing soft and hard radiations with Z (+ jets) Laurent Favart, - - PowerPoint PPT Presentation
REF2017, Madrid Probing soft and hard radiations with Z (+ jets) Laurent Favart, Philippe Gras, Anastasia Grebenyuk, Sandeep Kaur, Qun Wang, Fengwangdong Zhang 13 November 2017 Introduction Z (+ jets) precision measurements crucial for deep
Introduction
◮ Z (+ jets) precision measurements crucial for deep understanding and modeling of QCD interactions
◮ standard candle at LHC: high cross section; almost background free;
high precision of the full kinematic reconstruction
◮ important for modeling of the production mechanism involved in the
Higgs boson and new physics ◮ Z (+ jets) process can probe different aspects of QCD effects
◮ test latest higher order calculations and MC based event generators ◮ studying multiple gluon emissions and test the models with high
accuracy of soft gluon resummation
2
Theoretical prediction for cross section
◮ MADGRAPH5 AMC@NLO + Pythia8 (denoted as LO MG5 aMC)
◮ LO matrix element up to 4 partons ◮ kT -MLM merging ◮ NNPDF3.0 NLO PDF, CUETP8M1 Pythia8 tune
◮ MADGRAPH5 AMC@NLO + Pythia8 (denoted as NLO MG5 aMC)
◮ NLO matrix element up to 2 partons (LO accuracy for 3 partons) ◮ FxFx jet merging ◮ NNPDF3.0 NLO PDF, CUETP8M1 Pythia8 tune
◮ Z+1 jet fixed order NNLO (Phys. Rev. Lett. 115, 062002)
◮ Correction for hadronization and multiple parton interaction
computed with MADGRAPH5 AMC@NLO + Pythia8
◮ CT14 PDF 3
Two models with improved soft gluon resummation treatment:
◮ Geneva 1.0-RC2 + Pythia8 (arXiv:1508.01475)
◮ NNLL’+NNLO matched to PS ◮ Use n-jettiness (PRL 105, 092002 (2010)) to separate N-jet and
inclusive (N+1)-jet region, here τ0 and τ1
◮ τ0 (≡ beam-thrust, particles Ei − |pz,i|) dependence resummed at
NNLL’
◮ dσ≥0j at NNLO, dσ≥1j at NLO, dσ≥2j at LO, ◮ PDF4LHC15 NNLO; αs(mZ ) = 0.118 and 0.1135 (for ME and PS) ◮ Specific Pythia8 tune based on CUETP8M1
◮ DYRes 1.0 (JHEP12(2015)047) (shown for pT of the Z boson for Njets ≥ 0)
◮ NNLL+NNLO fixed order calculation ◮ NNPDF 3.1 NNLO and αs(mZ )=0.118 4
Transverse momentum of the Z boson for Njets ≥ 0
5 10 15 20 25 30 35 40 45
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 ( ) +NNLO
τ
GE + PY8 (NNLL' DYRes (NNLL + NNLO)
MC study
ll → * γ Z/
(Z) [pb/GeV]
T
/dp σ d
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕ MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
- Stat. unc.
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat.
- theo. unc.
⊕
= 0.1135
s
α
Stat.
- theo. unc.
⊕
(Z) [GeV]
T
p 10
2
10
3
10
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
- Stat. unc.
NLO MG5 aMC+ Pythia8 LO MG5 aMC+ Pythia8 Geneva (NNLL’+NNLO) + Pythia8 with αs(mZ ) = 0.118 and 0.1135 (dashed line) DYRes NNLL+NNLO The ratio is taken with respect to NLO MG5 aMC Theoretical uncertainties are included for NLO MG5 aMC and Geneva High pT: ◮ predictions with beyond LO ME agrees with each other ◮ LO MG5 aMC is below NLO MG5 aMC
5
Transverse momentum of the Z boson for Njets ≥ 0
5 10 15 20 25 30 35 40 45
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 ( ) +NNLO
τ
GE + PY8 (NNLL' DYRes (NNLL + NNLO)
MC study
ll → * γ Z/
(Z) [pb/GeV]
T
/dp σ d
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕ MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
- Stat. unc.
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat.
- theo. unc.
⊕
= 0.1135
s
α
Stat.
- theo. unc.
⊕
(Z) [GeV]
T
p 10
2
10
3
10
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
- Stat. unc.
Small pT: ◮ both MG5 aMC are based of Pythia8 CUETP8M1 ◮ all the predictions except Geneva are similar
Parameters
CUETP8M1
Geneva tune MultipartonInteractions:pT0Ref 2.4024 2.27 MultipartonInteractions:ecmPow 0.25208 0.25208 MultipartonInteractions:expPow 1.6 1.6 MultipartonInteractions:alphaSvalue 0.130 0.118 (0.1135) ColourReconnection:range 1.8 1.55 SpaceShower:pT0Ref 2.0 1.22 SpaceShower:alphaSvalue 0.1365 0.118 (0.1135) TimeShower:alphaSvalue 0.1365 0.118 (0.1135) BeamRemnants:primordialKThard 1.8 0.32
Primordial kT is reduced in Geneva − → less phase space for parton shower and more from the first principle ◮ Geneva: lower value 0.1135 for αs(mZ ) shows better agreement with NLO MG5 aMC ◮ Geneva: no systematic attempt made to tune the parton shower. Impact of the parton shower tuning need to be understood.
6
Jets
◮ By requiring a jet one sensitive to hard gluon radiation in the central region ◮ Possibly to test higher order calculations at high transverse momentum
2 −
10
1 −
10 1 10
2
10
3
10
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 ( ) +NNLO
τ
GE + PY8 (NNLL'
MC study
(R = 0.4) Jets
T
anti-k | < 2.4
jet
> 30 GeV, |y
jet T
p ll → * γ Z/
[pb]
jets
/dN σ d
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕ MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
- Stat. unc.
jets
N = 0 = 1 = 2 = 3 = 4 = 5 = 6
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat.
- theo. unc.
⊕
= 0.1135
s
α
Stat.
- theo. unc.
⊕
◮ Jet selection: pT > 30 GeV, |y| < 2.4, separation from the dressed lepton of ∆R > 0.4 ◮ LO MG5 aMC and NLO MG5 aMC show slightly different distribution: more high jet event for NLO MG5 aMC ◮ In Geneva third jet is described by PS. No systematic attempt made to tune the parton shower → disagreements in the central value with the data are expected for Njets≥ 3
7
Jet kinematics
Leading jet pT: Subleading jet pT:
2 −
10
1 −
10 1 10
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 ( ) +NNLO
τ
GE + PY8 (NNLL' NNLO (1j NNLO)
jetti
N
MC study
(R = 0.4) Jets
T
anti-k | < 2.4
jet
> 30 GeV, |y
jet T
p ll → * γ Z/ 1 ≥
jets
ll, N → * γ Z/
) [pb/GeV]
1
(j
T
/dp σ d
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕ MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
- Stat. unc.
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat.
- theo. unc.
⊕
= 0.1135
s
α
Stat.
- theo. unc.
⊕
) [GeV]
1
(j
T
p 50 100 150 200 250 300 350 400
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat.
- theo. unc.
⊕ 2 −
10
1 −
10 1
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 ( ) +NNLO
τ
GE + PY8 (NNLL'
MC study
(R = 0.4) Jets
T
anti-k | < 2.4
jet
> 30 GeV, |y
jet T
p ll → * γ Z/ 2 ≥
jets
ll, N → * γ Z/
) [pb/GeV]
2
(j
T
/dp σ d
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕ MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
- Stat. unc.
) [GeV]
2
(j
T
p 50 100 150 200 250
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat.
- theo. unc.
⊕
= 0.1135
s
α
Stat.
- theo. unc.
⊕
◮ LO MG5 aMC has slightly different shape w.r.t NLO MG5 aMC ◮ Leading jet pT: Z+1 jet fixed order NNLO is similar to NLO MG5 aMC within the theory uncertainty; increase theory precision for NNLO calculation ◮ Subleading jet pT: Geneva undershoots NLO MG5 aMC at low pT
8
Jet kinematics
- Eur. Phys. J. C77 (2017) 361
(ATLAS leading jet pT in Z+jets events )
100 200 300 400 500 600 700 [pb/GeV]
jet T
/dp σ d
- 7
10
- 6
10
- 5
10
- 4
10
- 3
10
- 2
10
- 1
10 1 10
2
10 ATLAS
1 −
13 TeV, 3.16 fb 1 jet ≥ ) +
−
l
+
l → *( γ Z/ jets, R = 0.4
t
anti-k < 2.5
jet
y > 30 GeV,
jet T
p 1 j e t ≥ * + γ Z /
1 −
10 × 2 jets, ≥ * + γ Z/
2 −
10 × 3 jets, ≥ * + γ Z/
3 −
10 × 4 jets, ≥ * + γ Z/ Data NNLO
jetti
1 jet N ≥ Z +
HERPA
S +
AT
H
LACK
B 2.2
HERPA
S 6
Y
P +
LPGEN
A 8 CKKWL
Y
P + MG5_aMC 8 FxFx
Y
P + MG5_aMC
100 200 300 400 500 600 700
Pred./Data 0.5 1 1.5 1 jet ≥ * + γ Z/
(leading jet) [GeV]
jet T
p
100 200 300 400 500 600 700 Pred./Data 0.5 1 1.5 2 jets ≥ * + γ Z/
CMS-PAS-SMP-15-010 (CMS leading jet pT in Z+jets events) ◮ At high pT LO ME model does not describe the measurements → NLO correction is needed ◮ NNLO ME model describes the measurements as good as NLO ME model
9
Transverse momentum of the Z boson for Njets ≥ 1
0.5 1 1.5 2 2.5 3 3.5 4
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 ( ) +NNLO
τ
GE + PY8 (NNLL'
MC study
(R = 0.4) Jets
T
anti-k | < 2.4
jet
> 30 GeV, |y
jet T
p ll → * γ Z/ 1 ≥
jets
ll, N → * γ Z/
(Z) [pb/GeV]
T
/dp σ d
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕ MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
- Stat. unc.
(Z) [GeV]
T
p 10
2
10
3
10
MG5_aMC Prediction
0.6 0.8 1 1.2 1.4
Stat.
- theo. unc.
⊕
= 0.1135
s
α
Stat.
- theo. unc.
⊕
At least one jet requirement shift the peak toward the higher value → possibility of studying multiple gluon emissions away from the non-perturbative region High pT: ◮ LO MG5 aMC is below NLO MG5 aMC ◮ Geneva agrees with NLO MG5 aMC Small pT: ◮ Geneva is below NLO MG5 aMC by 20%, the difference is more pronounced than in inclusive scenario ◮ Geneva: use of the lower value 0.1135 for αs(mZ ) improves only the first bin
10
Correlation observables
◮ pT balance between the Z boson and the sum of the reconstructed jets: pbal
T
= | pT(Z) +
jets
pT(ji)|, for Njets ≥ 1,2,3 The imbalance is caused by:
◮ hadronic activity outside the jet acceptance (pT > 30 GeV, |y| < 2.4) ◮ gluon radiation in the central region, not clustered in a jet
◮ Jets-Z balance (JZB): JZB = |
jets
pT(ji)| − | pT(Z)| for pT(Z) ≤ 50 GeV and pT(Z) ≥ 50 GeV
◮ the same source of imbalance as for pbal T ◮ it allows the distinction of the two configurations, where
non-accounted hadronic activity is in the Z hemisphere and where it is in the opposite one
11
Correlation observable: pbal
T = |
pT(Z) +
jets
pT(ji)|
Njets ≥ 1: Njets ≥ 2: Njets ≥ 3:
2 −
10
1 −
10 1 10
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 ( ) +NNLO
τ
GE + PY8 (NNLL'
MC study
(R = 0.4) Jets
T
anti-k | < 2.4
jet
> 30 GeV, |y
jet T
p ll → * γ Z/ 1 ≥
jets
ll, N → * γ Z/
[pb/GeV]
T
/dp σ d
MG5_aMC Prediction
0.5 1 1.5
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕ MG5_aMC Prediction
0.5 1 1.5
- Stat. unc.
[GeV]
bal T
p 20 40 60 80 100 120 140 160 180 200
MG5_aMC Prediction
0.5 1 1.5
Stat.
- theo. unc.
⊕ = 0.1135 s α Stat.
- theo. unc.
⊕ 3 −
10
2 −
10
1 −
10 1
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 ( ) +NNLO
τ
GE + PY8 (NNLL'
MC study
(R = 0.4) Jets
T
anti-k | < 2.4
jet
> 30 GeV, |y
jet T
p ll → * γ Z/ 2 ≥
jets
ll, N → * γ Z/
[pb/GeV]
T
/dp σ d
MG5_aMC Prediction
0.5 1 1.5
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕
[GeV]
bal T
p 20 40 60 80 100 120 140 160 180 200
MG5_aMC Prediction
0.5 1 1.5
- Stat. unc.
3 −
10
2 −
10
1 −
10
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 (
MC study
(R = 0.4) Jets
T
anti-k | < 2.4
jet
> 30 GeV, |y
jet T
p ll → * γ Z/ 3 ≥
jets
ll, N → * γ Z/
[pb/GeV]
T
/dp σ d
MG5_aMC Prediction
0.5 1 1.5
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕
[GeV]
bal T
p 20 40 60 80 100 120 140 160 180 200
MG5_aMC Prediction
0.5 1 1.5
- Stat. unc.
Imbalance (pbal
T
away from zero) from two partons in the final state with one of them
- ut of the acceptance - NLO
accuracy for NLO MG5 aMC sample and LO accuracy for
- ther samples
Geneva: one jet must come from parton showering LO MG5 aMC shows different shape Smaller difference between LO MG5 aMC and NLO MG5 aMC
12
Correlation observable: JZB = |
jets
pT(ji)| − | pT(Z)|
JZB< 0: unaccounted hadronic activity in the Z hemisphere JZB> 0: unaccounted hadronic activity in the opposite hemisphere Njets ≥ 1 is required full phase space: pT(Z) ≤ 50 GeV: pT(Z) ≥ 50 GeV:
3 −
10
2 −
10
1 −
10 1 10
2
10
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 ( ) +NNLO
τ
GE + PY8 (NNLL'
MC study
(R = 0.4) Jets
T
anti-k | < 2.4
jet
> 30 GeV, |y
jet T
p ll → * γ Z/ 1 ≥
jets
ll, N → * γ Z/
/dJZB [pb/GeV] σ d
MG5_aMC Prediction
0.5 1 1.5
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕ MG5_aMC Prediction
0.5 1 1.5
- Stat. unc.
JZB [GeV] 100 − 50 − 50 100
MG5_aMC Prediction
0.5 1 1.5
Stat.
- theo. unc.
⊕ = 0.1135 s α Stat.
- theo. unc.
⊕ 3 −
10
2 −
10
1 −
10 1 10
2
10
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 ( ) +NNLO
τ
GE + PY8 (NNLL'
MC study
(R = 0.4) Jets
T
anti-k | < 2.4
jet
> 30 GeV, |y
jet T
p ll → * γ Z/ 1 ≥
jets
ll, N → * γ Z/ 50 GeV ≤ (Z)
T
1, p ≥
jets
ll, N → * γ Z/
/dJZB [pb/GeV] σ d
MG5_aMC Prediction
0.5 1 1.5
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕ MG5_aMC Prediction
0.5 1 1.5
- Stat. unc.
JZB [GeV] 40 − 20 − 20 40 60 80 100 120 140
MG5_aMC Prediction
0.5 1 1.5
Stat.
- theo. unc.
⊕ = 0.1135 s α Stat.
- theo. unc.
⊕ 3 −
10
2 −
10
1 −
10 1 10
2
10
2j NLO + PS) ≤ MG5_aMC + PY8 ( 2j NLO + PS) ≤ MG5_aMC + PY8 ( 4j LO + PS) ≤ MG5_aMC + PY8 ( ) +NNLO
τ
GE + PY8 (NNLL'
MC study
(R = 0.4) Jets
T
anti-k | < 2.4
jet
> 30 GeV, |y
jet T
p ll → * γ Z/ 1 ≥
jets
ll, N → * γ Z/ (Z) > 50 GeV
T
1, p ≥
jets
ll, N → * γ Z/
/dJZB [pb/GeV] σ d
MG5_aMC Prediction
0.5 1 1.5
Stat. theo. ⊕ unc.
s
α ⊕ PDF ⊕ MG5_aMC Prediction
0.5 1 1.5
- Stat. unc.
JZB [GeV] 150 − 100 − 50 − 50 100 150
MG5_aMC Prediction
0.5 1 1.5
Stat.
- theo. unc.
⊕ = 0.1135 s α Stat.
- theo. unc.
⊕
◮ LO MG5 aMC shows different shape w.r.t NLO MG5 aMC ◮ Geneva: similar behavior for three cases
13
Correlation observable: JZB = |
jets
pT(ji)| − | pT(Z)|
Effect on the imbalance of the hadronic activity beyond the jet acceptance (pT > 30 GeV, |y| < 2.4): full phase space: pT(Z) ≤ 50 GeV: pT(Z) ≥ 50 GeV:
ZJB [GeV]
- 200
- 150
- 100
- 50
50 100 150 200
a.u
- 7
10
- 6
10
- 5
10
- 4
10
- 3
10
- 2
10
- 1
10 1
Default and y cuts
T
No jet p
ZJB [GeV]
- 50
50 100 150 200
a.u
- 5
10
- 4
10
- 3
10
- 2
10
- 1
10 1
ZJB [GeV]
- 150
- 100
- 50
50 100 150
a.u
- 5
10
- 4
10
- 3
10
- 2
10
- 1
10 1
Dominant contribution is hadronic activity in the forward region (|y| > 2.4)
14
Outlook
DY process allows to study different aspects of QCD ◮ High transverse momentum region:
◮ samples with NLO ME show different behavior than LO ME sample.
Run1 and Run2 measurements show the need of NLO correction to describe proper the high transverse momentum of the Z boson and jets
◮ NNLO ME models are available with significantly reduced theory
- uncertainties. Can we access this precision with Run2 measurements?
◮ NNLO ME models do not show large difference with respect to
NLO ME one ◮ Small transverse momentum region:
◮ Run1 and Run2 measurements: precise tune of Pythia8, interfaced
with MG5 aMC, gives very good description of the pT(Z)
◮ NNLO with gluon resummation sample is available where the phase
space for the parton shower with tuned parameters is reduced
◮ Fixed order NNLO+NNLL calculation (DYRes) as good as
models interfaced with Pythia8
◮ NNLL’+NNLO (Geneva) shows different behavior compared to
- ther samples
15