Top Quark Physics
Efe Yazgan
Hadron Collider School – HASCO 2017
Georg-August-Universtät, GöAngen, Germany 19 July 2017
efe.yazgan@cern.ch
Electron pT= 114.2 GeV
η = 0.98 Φ = 2.78
Electron pT= 109.3 GeV
η = 1.79 Φ = -3.08
Electron pT= 21.2 GeV
η = -0.66 Φ = -0.57
Muon pT= 160.5 GeV
η = -0.99 Φ = 0.27
Jet pT= 139.8 GeV
η = 1.97 Φ = -2.07
Jet pT= 46.8 GeV
η = 2.37 Φ = 0.69
ETmiss
pT= 91.8 GeV Φ = 0.21
CMS Experiment at LHC, CERN
Data recorded: Sun Nov 1 23:42:02 2015 CET Run/Event: 260576 / 281864880 Lumi section: 137
Z M = 103.6 GeV
2
Top Quark (through the
six-quark model) Predicted
in 1973
3
§ b-quark discovered (‘77) in E288 experiment and its iso-spin is measured.
§ To complete the third generaKon à the weak isospin partner of the b-quark.
Standard Model in 1978
hOp://news.fnal.gov/2017/06/forty-year-anniversary- boOom-quark-discovery-announcement/
Second Argument for the Existence of the Top
Quark: Weak Isospin of b Quark and its Partner
4
Second Argument for the Existence of the Top Quark: Weak Isospin of b Quark and its Partner
Schaile, Zerwas 1992, PRD 45, 3262
Desy
LEP
(right handed b-quark)
(le^ handed b-quark)
All measurements meet at:
[I
3L, I
3R] = [-1/2,0]
à Isospin partner with
[I
3L, I
3R] = [+1/2,0] should exist.
Γ Z → bb ( ) = G 2 2
FM π
Z3( V
b2+ A
b2)
Và vector coupling A à Axial coupling If Ve, Ae known
à Extract couplings of the b-quark using AFB and Γ measurements.
A
FBmZ( ) b = 3 4
2V
eA
eV
e2+ A
e22V
bA
bV
b2+ A
b2Quantum FluctuaKons Seeing Invisible ParKcles
5
• Heisenberg uncertainty principle implies
– ParKcles can be created from nothing (for a short period of Kme) w/o the necessary energy supply (virtual or off-mass-shell parKcle).
• Tree level SM processes modified by radiaKve correcKons.
• Indirect effect of the top quark (and Higgs) observable
– even if the collider energy is not sufficient to create the real parKcle.
6
Top Quark’s Effect at
LEP CollaboraJons CERN-PPE/95-172
s ≈ 100 GeV < m
t...
m
t= 173
+13−10GeV
One of the most criKcal tests of the standard model!
… m t [GeV]
LEP 1 predicKon:
§ Indirect measurements showed the existence of the top quark and predicted its mass precisely before it was
discovered.
7
hOp://project-gfiOer.web.cern.ch/project-gfiOer/History/
Third Argument for the Existence of the Top Quark: Anomaly CancellaKon
§ Sum of electric charges in a family is zero.
8 qi
∑
i = q(
u + qd)
x3+ qe + qνe = ⎩⎧⎨⎛⎝⎜23⎠⎞⎟ + −⎝⎜⎛ 13⎟⎠⎞⎫⎬⎭x3+ −1( )
+ 0( )
= 0qi
∑
i = q(
c + qs)
x3+ qµ + qνµ =⎧⎨⎝⎜⎛23⎞⎠⎟ + −⎛⎝⎜ 13⎞⎠⎟⎩
⎫⎬
⎭x3+ −1
( )
+ 0( )
= 0qi
∑
i = q(
t + qb)
x3+ qτ + qντ = ⎧⎨⎝⎜⎛32⎞⎠⎟ + −⎛⎝⎜ 13⎞⎠⎟⎩
⎫⎬
⎭x3+ −1
( )
+ 0( )
= 0color
è A quark with charge +2/3 should exist.
e.g. see Y. Nagashima, Elementary parJcle physics Volumes 1 and 2
The Discovery of the Top Quark at the Tevatron
9
tt → W
+bW
−b
Signal consistent with
and inconsistent w/ the background predicKon.
CDF, PRL 74, 2626 (1995)
σ
ttCDF( s = 1.8 TeV ) = 6.8
−2.4+3.6pb
m
tCDF=176 ±8(stat.)±10(syst.) GeV
with O(10) events.
# lepton+jets events
Circles:
Before b-tagging
Decay lifeKme of secondary vertex tags for W+>=3 jet events.
à Consistent with the predicKon for b decays from Obar simulaKon.
W+>=4 jet
Dashed:
Background+ Obar simulaKon
The Discovery of the Top Quark at the Tevatron
10
tt → W
+bW
−b
Signal consistent with
and inconsistent w/ the background predicKon.
D0, PRL 74, 2632 (1995)
σ
ttD0( s = 1.8 TeV ) = 6.4 ± 2.2 pb
m
tD0=199
−21+19(stat.)± 22(syst.) GeV
with O(10) events.
Standard selecKon
Loose selecKon
11
Quadt, EPJC 48, 835 (2006)
The Top Quark
• The most massive parKcle known to date (m
t∼ 173 GeV).
Quantum FluctuaKons à Higgs Boson
12 Propagator for fermions α 1/q
(Dirac equaKon) Propagator for boson α 1/q2 (Klein-Gordon equaKon)
M
W2= ρ ( M
Wtree−level)
2Δ ρ = ( ρ −1 ) ∝ m
t2Δ ρ ∝ ln m (
H)
ρ = 1+ Δ ρ
t+ Δ ρ
Hw/ Veltman,
NPB 123, 89 (1977)
e.g. HW: Read the
Nobel lectures of
‘t Hoo^ and Veltman (1999)
Δ ρ
t~ G
Fm
t2Δ ρ
H~ G
Fm
W2log m
H2m
W2Precision Measurements of Top and W à Higgs
13
[GeV]
mt
140 150 160 170 180 190 200
[GeV]WM
80.25 80.3 80.35 80.4 80.45 80.5
=50 GeV
MH H=125.7
M H=300 GeV
M =600 GeV
MH
1σ Tevatron average ±
kint
m
1σ world average ± MW
=50 GeV
MH H=125.7
M H=300 GeV
M =600 GeV
MH
68% and 95% CL fit contours measurements and mt
w/o MW
68% and 95% CL fit contours measurements and MH
, mt
w/o MW
m
H= 94
−22+25GeV
Electroweak fit before
Higgs discovery: consistent with measured mH within 1.3σ.
Quantum fluctuaKons showed the existence of the Higgs boson and predicted its mass precisely before it was discovered.
The GfiOer Group, M. Baak et al., EPJC 72, 2205 (2012) hOp://project-gfiOer.web.cern.ch/project-gfiOer/History/
The most criKcal test of the standard model!
Top – Higgs Coupling
Test fermion mass generaKon
14
Indirect direct
ttH
Higgs-induced Four-top
yt = 2mt
v ≅ 1 à The largest coupling among the fermions – special role in electroweak symmetry breaking?
à No direct measurement of top-Higgs coupling yet.
Top Quark ProperKes
§ Top quark has a very short lifeKme
15
τ
t= 1
Γ
t~ 0.5 ×10
−24s < 1
Λ
QCD< m
tΛ
QCD2~ 3×10
−21s << τ
b~ 10
−12s τ
t< τ ( hadronization ) < τ ( spin − decorrelation ) << τ
bNo hadronic bound states Spin effects propagate to decay products.
à Behaves like a bare quark
à Top quark properKes “directly” accessible (mass, V
tb, spin, charge, y
t, …)
ΛQCD:
à scale for which αs becomes very strong à ~1 fm scale of a
hadron (proton radius)
16 /γ
+ Cross secKons, asymmetries, spin correlaKon, …
Top ProperKes
Top pair producKon through QCD interacKons.
17
σ ( ) tt ~ 830 pb @ 13 TeV σ
tt13TeV~ 3× σ
tt8TeV§ SensiKve to PDFs, α
s, m
t§ Backgrounds to Higgs and
many new physics searches
Top pair producKon through QCD interacKons.
18
σ ( ) tt ~ 830 pb @ 13 TeV σ
tt13TeV~ 3× σ
tt8TeVm
t> m
WElectroweak single top producKon
19 t-channel
~220 pb
tW-channel
~72 pb
s-channel
~10 pb
σ
t−chan13TeV~ 2.5 × σ
t−chan8TeVWtb
§ SensiKve to Wtb vertex (V-A coupling), b- and u/d-PDFs.
u
V-A coupling: cross secKons, W boson and top quark polarizaKons.
§ Backgrounds to Higgs and many searches
Top Quark Signatures and Backgrounds
§ Lepton+jets channel
u
A high p
Tlepton
u
≥ 4 high p
Tjets (2 of which are jets from b-decays)
u
Missing transverse energy
20
§ Main backgrounds:
u
O other, Single top, W+jets
Top Quark Signatures and Backgrounds
§ Dilepton channel
u
Two high p
Tleptons
u
≥ 2 high p
Tjets (2 of which are from b-decays)
u
Missing transverse energy
21
§ Main backgrounds:
u
O other
u
Single top
u
W/Z+jets
ℓ
−ν
à Fever number of events à But purer
à Best channel: eµ
Top Quark Signatures and Backgrounds
§ All-hadronic channel
u
≥ 6 high p
Tjets (2 of which are from b-decays)
22
§ Main backgrounds:
u
QCD mulKjets
q
à Possible to fully reconstruct the event (i.e. no neutrinos) à But larger uncertainKes
compared to other channels due to mulKple jets
à Jet energy scale and b- tagging.
q
~Plan for the rest of the Lectures
§ Top quark producKon and Event Modelling
§ Boosted top
§ QuesKons/Discussion & Break
§ Top quark mass measurements
§ QuesKons/Discussion & Break
§ Asymmetry measurements
§ Obar spin CorrelaKon
§ Top quark couplings
§ QuesKons/Discussion
23 Example results/plots taken from top quark public pages of Tevatron and
LHC experiments (experimental view and most examples from CMS):
ATLAS: hOps://twiki.cern.ch/twiki/bin/view/AtlasPublic/TopPublicResults CMS: hOps://twiki.cern.ch/twiki/bin/view/CMSPublic/PhysicsResultsTOP CDF: hOp://www-cdf.fnal.gov/physics/new/top/top.html
D0: hOp://www-d0.fnal.gov/Run2Physics/top/top_public_web_pages/
SM (Top Quark) Measurements
§ Test SM with more precise and complex calculaKons.
§ Look for and constrain new physics effects through radiaKve correcKons.
§ Improve predicKons in phase-space regions for new physics searches (top as background).
24
[pb]σProduction Cross Section,
−4
10
−3
10
−2
10
−1
10 1 10 102
103
104
105
CMS Preliminary
July 2017
All results at: http://cern.ch/go/pNj7 W
n jet(s)
≥
Z n jet(s)
≥
Wγ Zγ WW WZ ZZ
µ ll, l=e,
→ , Z ν l
→ EW: W qqW EW
qqZ EW
WW
→ γ γ
qqWγ EW
ssWW EW
qqZγ EW
qqZZ
EW WVγZγγ Wγγ tt
=n jet(s)
tt-ch tW ts-ch ttγ tZq ttW ttZ tttt
σ in exp. ∆ σH
Th. ∆
ggHqqHVBF VH ttH HH CMS 95%CL limits at 7, 8 and 13 TeV
-1) 5.0 fb 7 TeV CMS measurement (L ≤
-1) 19.6 fb 8 TeV CMS measurement (L ≤
-1) 35.9 fb 13 TeV CMS measurement (L ≤ Theory prediction
Cross secKon ExtracKon
25
σ = N
obs− N
bkgA × ε
( ) × B × L
Total Inclusive cross secKon à count signal events:
A: Acceptance (depends on PDF, and other modeling uncertainKes, e.g. renormalizaKon and factorizaKon scales)
ε: SelecKon efficiency for events in acceptance
(affected by the errors in triggers and reconstrucKon) L: Integrated luminosity
B: Branching raKo
Cross secKon ExtracKon
26
σ = N
obs− N
bkgA × ε
( ) × B × L
1 σ
dσi dX = 1
σ
Rij−1
∑
j #$Nobs, j − Nbkg, j%&ΔiX
(
A ×ε)
iTotal Inclusive cross secKon
à count signal events:
DifferenKal cross secKons:
“Unfolded” to correct for detector effects (bin-to-bin migraJon) and acceptance
à To parJcle or parton level
à In full or fiducial phase space
Bin width
Response matrix A: Acceptance (depends on PDF, and other modeling
uncertainKes, e.g. renormalizaKon and factorizaKon scales)
ε: SelecKon efficiency for events in acceptance
(affected by the errors in triggers and reconstrucKon) L: Integrated luminosity
B: Branching raKo
Top Pair Cross SecKon at √s = 13 TeV in the eµ Channel
§ Cut and count
u
Select eµ pair with >= 2 jets and >=1 b-tag
27
σ
tt(
mt = 172.5 GeV)
= 815 ± 9 stat( )
± 38 syst( )
±19 lumi( )
pbhttp://dx.doi.org/
10.1140/epjc/
s10052-017-4718-8
à Consistent with NNLO+NNLL predicKon and other measurements from ATLAS and CMS.
à Already dominated by systemaKc uncertainKes:
à Luminosity, efficiencies, jet energy scale
à Effect of generator choice on acceptance (POWHEG vs MG5_aMC@NLO)
Events
0 5 10
103
×
Data t t
Non W/Z V t VV + t
tW ±
±µ
→ e γ* Z/
(13 TeV) 2.2 fb-1
CMS •* e±µ ±
Number of jets
0 1 2 3 ≥ 4
Data/MC 0.6 1 1.4
Events
0 5 10
103
×
Data t t
Non W/Z V t VV + t
tW ±
±µ
→ e γ* Z/
(13 TeV) 2.2 fb-1
CMS
(f) •* e±µ + ± ≥ 2 jets
Number of b jets
0 1 2 ≥ 3
Data/MC 0.6 1 1.4
ProducKon Cross SecKons from √s = 2 to 13 TeV
28
§ Top quark pair cross secKon measurements at NNLO+NNLL precision:
~5.5%.
u
13 TeV top pair cross secKon measurements: already at NNLO + NNLL precision
• ~3.9% (l+jets)
• ~5.3% (dilepton)
u
Run I legacy measurement precision: ~3.5% (eµ channel)
JHEP 08 (2016) 029[TeV]
s
2 4 6 8 10 12 14
cross section [pb]tInclusive t
10 102
103
CMS Preliminary July 2017
* Preliminary
-1) 8.8 fb Tevatron combined 1.96 TeV (L ≤
-1) CMS dilepton,l+jets* 5.02 TeV (L = 27.4 pb
-1) 7 TeV (L = 5 fb CMS eµ
-1) CMS l+jets 7 TeV (L = 2.3 fb
-1) CMS all-jets 7 TeV (L = 3.54 fb
-1) 8 TeV (L = 19.7 fb CMS eµ
-1) CMS l+jets 8 TeV (L = 19.6 fb
-1) CMS all-jets 8 TeV (L = 18.4 fb
, 50 ns) 13 TeV (L = 43 pb-1
CMS eµ
-1) 13 TeV (L = 2.2 fb CMS eµ
, 50 ns) CMS l+jets* 13 TeV (L = 42 pb-1
-1) CMS l+jets 13 TeV (L = 2.2 fb
-1) CMS all-jets* 13 TeV (L = 2.53 fb
NNLO+NNLL (pp) ) p NNLO+NNLL (p
Czakon, Fiedler, Mitov, PRL 110 (2013) 252004
)=0.113]
(MZ
αs
0.001 [*
) = 0.118 ± (MZ
αs
= 172.5 GeV, NNPDF3.0, mtop
[TeV]
13 s
600 800 1000
NNPDF3.0 MMHT14
CT14 ABM12*
pp
pp
arXiv:1701.06228 EPJC 77 (2017) 172
Single Top Cross SecKons – Current Status
29
§ Single top t-channel cross secKon at NNLO precision
u
Theory uncertainty ~1%
u
Measurement uncertainty
• ~10% at 8 TeV (with 20 ‰-1)
• ~13% at 13 TeV (with 2.3 ‰-1)
§ All single top
quark producKon modes measured at Run I.
[TeV]
s
2 3 4 5 6 7 8 9 10 11 12 13 14
[pb]σ
−2
10
1
10−
1 10 102
NLO+NNLL, PRD 83, 091503 (2011) Tevatron, arXiv:1503.05027 [hep-ex]
CMS, JHEP 12, 035 (2012) CMS, JHEP 06, 090 (2014) CMS, arXiv:1610.00678 [hep-ex]
NLO+NNLL, PRD 82, 054018 (2010) CMS, PRL 110, 022003 (2013) CMS, PRL 112, 231802 (2014) NLO+NNLL, PRD 81, 054028 (2010) Tevatron, PRL 112, 231803 (2014) CMS, JHEP 09 (2016) 027
Single top-quark production Inclusive cross sections
) p t-channel (pp or p
) p tW (pp or p
) p s-channel (p s-channel (pp)
arXiv:1610.00678
Single Top Cross SecKon at √s = 13 TeV
30
§ Event selecKon: 1 µ, 2 or 3 jets, 1 or 2 b- jets.
§ Signal from binned likelihood fits to MVA discriminators with η
j, m
lνb, m
jb, m
T(W), … in different categories.
σ
t−ch.( t + t ) = 238 ±13 stat ( ) ±12 exp ( ) ± 26 theo ( ) ± 5 lumi ( ) pb = 238 ± 32 pb
V
td, V
ts<< V
tb, Βr ≅ 1
→ f
VLV
tb= σ
t−ch.σ
t−ch.theo.= 1.05 ± 0.07 exp ( ) ± 0.02 theo ( )
M. Aliev et al. arXiv:1007.1327
TOP-16-003
7+8 TeV à δ|Vtb|=4%
Result dominated by signal modelling and QCD scale uncertainKes.
MVA output
−1 −0.8−0.6−0.4 −0.2 0 0.2 0.4 0.6 0.8 1
Events / 0.2
1000 2000 3000 4000 5000 6000
Data channel t
, tW t t W/Z+jets QCD Post-fit unc.
CMS
(13 TeV) 2.3 fb-1
2-jets-1-tag
MVA output
FitData
0.8 1 1.2
§ CKM matrix element Vtb all consistent with SM.
31
tb|
LVV
|f
0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
ATLAS+CMS Preliminary LHCtopWG from single top quark production σmeastheo
| = σ Vtb
|fLV
MSTW2008nnlo : NLO+NNLL
σtheo
PRD 83 (2011) 091503, PRD 82 (2010) 054018,
PRD 81 (2010) 054028
⊕ : scale σtheo
∆
= 172.5 GeV mtop
May 2017
including top-quark mass uncertainty
1
: NLO PDF4LHC11 σtheo
2
NPPS205 (2010) 10, CPC191 (2015) 74 including beam energy uncertainty
3
total theo
(theo) (meas) ±
| ± Vtb
|fLV
t-channel:
Wt:
s-channel:
ATLAS 7 TeV 1
1 )
PRD 90 (2014) 112006 (4.59 fb− 1.02 ± 0.06 ± 0.02
ATLAS 8 TeV 1,2
1 )
arXiv:1702.02859 (20.2 fb− 1.028 ± 0.042 ± 0.024
CMS 7 TeV
1 )
JHEP 12 (2012) 035 (1.17 - 1.56 fb− 1.020 ± 0.046 ± 0.017
CMS 8 TeV
1 )
JHEP 06 (2014) 090 (19.7 fb− 0.979 ± 0.045 ± 0.016
CMS combined 7+8 TeV
JHEP 06 (2014) 090 0.998 ± 0.038 ± 0.016
CMS 13 TeV 2
1 )
arXiv:1610.00678 (2.3 fb− 1.03 ± 0.07 ± 0.02
ATLAS 13 TeV 2
1 )
JHEP 04 (2017) 086 (3.2 fb− 1.07 ± 0.09 ± 0.02
ATLAS 7 TeV
1 )
PLB 716 (2012) 142 (2.05 fb− 1.03 −+ 0.18 0.15± 0.03
CMS 7 TeV
1 )
PRL 110 (2013) 022003 (4.9 fb− − 0.13 − 0.04
0.03 0.16 + 1.01 +
ATLAS 8 TeV 1,3
1 )
JHEP 01 (2016) 064 (20.3 fb− 1.01 ± 0.10 ± 0.03
CMS 8 TeV 1
1 )
PRL 112 (2014) 231802 (12.2 fb− 1.03 ± 0.12 ± 0.04
LHC combined 8 TeV 1,3
CMS-PAS-TOP-15-019 ATLAS-CONF-2016-023,
0.04 0.08 ± 1.02 ±
ATLAS 13 TeV 2 1 )
arXiv:1612.07231 (3.2 fb− 1.14 ± 0.24 ± 0.04
ATLAS 8 TeV 3
1 )
PLB 756 (2016) 228 (20.3 fb− 0.93 −+ 0.20 0.18± 0.04
Improving Uncertainties
§ Contributions to total uncertainty spread of over many different sources
§ Some experimental uncertainties will improve with time
u Statistical uncertainties
u Lepton id and isolation
u Jet energy scale
u …
§ Theory uncertainties can partially be tested and improved with measurements
u Hadronization
u Top quark pT modelling
u …
32
33
(Top Quark) Event Modeling
Proton Proton
Gleisberg et al. JHEP02 (2004) 056
Underlying event/
Mul2-parton interac2ons Hard process
Fragmenta2on/
Parton shower
decay (of unstable par2cles).
Hadroniza2on
Beam remnants
(Top Quark) Event Modeling
34 P
P/P
q q
Lepton neutrino
b b u d
Lepton Neutrino
Gen-Jet Gen-jet Gen-Jet Gen-jet
Lepton MET
Jet Jet Jet Jet Proton/
(anK-)proton Colliding
partons Final state Stable
parKcles Measured
event
Processes
… O
detector HadronizaKon
showering
σ
pp→tt( s, m
t) = ∫ dx
1dx
2f
ipdf( x
1, µ
2f) f
jpdf( x
2, µ
2f) σ ˆ
ij→tt( ˆs, m
t, µ
f, µ
r, α
s( ) µ
r)
i, j=partons
∑
Top Quark Event Modeling
σ
pp→tt( s, m
t) = ∫ dx
1dx
2f
ipdf( x
1, µ
2f) f
jpdf( x
2, µ
2f) σ ˆ
ij→tt( ˆs, m
t, µ
f, µ
r, α
s( ) µ
r)
i, j=partons
∑
35
µ
f ~ Q ~ ˆs ~ x1x2sPDFs x, ( µ
2f) ⊗ ˆ σ ( ˆs, m
t, µ
f, µ
r, α
s( ) µ
r)
factorizaKonè
à inputs: m t , α s , and PDFs
(Q: energy scale of the hard process) PerturbaJve in αs
Non-perturbaJve
⊕
Underlying event, showering/& hadronizaKon
QCD αs(Mz) = 0.1185 ± 0.0006 Z pole fit
0.1 0.2 0.3
αs (Q)
1 10 Q [GeV] 100
Heavy Quarkonia (NLO) e+e– jets & shapes (res. NNLO)
DIS jets (NLO)
Sept. 2013
Lattice QCD (NNLO)
(N3LO)
τ decays (N3LO)
1000 pp –> jets (–) (NLO)
pTparton < µF pTparton > µF
Nucleon Structure
36
sea quarks dominate.
The quark sea:
~ Valence quarks emit gluons that in turn split into quark-
anKquark pairs. determine the quantum
numbers of the hadron.
PDF sets.
Valence quarks dominate.
§ Hadron collider = parton collider
§ f
i(x,Q
2) probability to find a parton to carry the fracKon x of the longitudinal hadron momentum at the energy scale Q
2.
u Intrinsic property of the nucleon à process independent.
u Parametrized by PDF sets.
Hard Process
§ CalculaKon in perturbaKve QCD
u
LO à LO ME + RadiaKon from parton shower.
u
MulK-leg LO à LO + AddiKonal partons in the hard process but no loops + radiaKon from parton shower.
u
NLO à LO + AddiKonal partons in the hard process including loops (+ parton shower).
37 NLO and mulJ-leg LO need matching/merging to the
parton shower.
Unfolding
38 reconstructed
level
To be able to have the data usable in future
and/or by anyone to test new models, or seAngs, or ideas, unfolding procedure corrects for
experiment and monte carlo specific effects.
parton/parKcle level
Unfolding
39 P
P/P
q q
Lepton neutrino
b b u d
Lepton Neutrino
Gen-Jet Gen-jet Gen-Jet Gen-jet
Lepton MET
Jet Jet Jet Jet Proton/
(anK-)proton Colliding
partons Final state Stable
parKcles Measured
event
Processes O
… …
detector HadronizaKon
showering
(non-diagonal)
bin migraKon matrix selecKon efficiency
à diagonal matrix The goal is to compare to
theory predicKons (at the parKcle/parton level).
e.g., CMS-PAS-TOP-12-033
Commonly used unfolding methods:
iteraKve D’AgosKni, SVD
e.g. semileptonic Obar
Improving uncertainties: Object Definitions for Top Particle
§ Top quark simulations
u at NLO+PS
u finite width of the top quark for off-shell production and interference with the backgrounds.
u Parton level top ill-defined.
u Construct tops only from observed final-state = particle level top.
• fundamental aspect of performing current and future measurements of top quark differential production cross sections
40
CMS-NOTE-2017-004
(before decay a^er radiaKon)
(top « parKcle » from decay products a^er hadronizaKon)
Top Quark Pair Differential Cross Sections
§ Test QCD description of the top quark (both as signal and background)
§ Test and tune new MCs (NLO ME + LO PS MC)
41
CMS-PAS-TOP-16-007
• Differential distributions described reasonably well by NLO MCs at particle level [TOP-16-007], at parton level and NNLO calculations [TOP-16-011, arXiv:1610.04191 (Accepted by PRD)]
0 50 100 150 200 250 300 350 400 450 500
4
10−
−3
10
2
10−
−1
10
(13 TeV) 2.2 fb-1
CMSPreliminary Dilepton
] (Particle Level) -1 [GeV tt Td pσ
d 1 σ
POWHEG v2+PYTHIA8
MG5_aMC@NLO+PYTHIA8[MLM]
MG5_aMC@NLO+PYTHIA8[FXFX]
POWHEG v2+HERWIG++
Data with stat+sys uncertainty Statistical uncertainty
0 50 100 150 200 250 300 350 400 450 500
0.7 0.8 0.91 1.1 1.2
1.3 stat+sys uncertainty
DataTheory
[GeV]
tt
pT
400 600 800 1000 1200 1400 1600
5
10− 4
10−
−3
10
−2
10
(13 TeV) 2.2 fb-1
CMSPreliminary Dilepton
] (Particle Level) -1 [GeV tt d Mσ
d 1 σ
POWHEG v2+PYTHIA8
MG5_aMC@NLO+PYTHIA8[MLM]
MG5_aMC@NLO+PYTHIA8[FXFX]
POWHEG v2+HERWIG++
Data with stat+sys uncertainty Statistical uncertainty
400 600 800 1000 1200 1400 1600
0.7 0.8 0.91 1.1 1.2
1.3 stat+sys uncertainty
DataTheory
[GeV]
Mtt
The Top Quark p T
§ LHC Run I « discovery »: harder spectrum in LO/NLO + PS predictions than in data (also observed in run II)
u NNLO+NNLL: significantly better description.
42
t GeV pT
0 100 200 300 400 500
-1 GeV t Tdpσd σ1
10-4
10-3
10-2
10-1 CMSPreliminary 2.2 fb-1 (13 TeV) Dilepton Data
Powheg v2+Pythia8
JHEP 01 (2015) 082
Approx. NNLO
PRD 91 (2015) 031501 3LO
Approx. N
arXiv:1601.07020
NLO+NNLL'
2016 prelim., arXiv:1511.00549
NNLO
t GeV pT
0 100 200 300 400 500
DataTheory 1
1.5 Stat. Stat.⊕ Syst.
CMS-PAS-TOP-16-011
Boosted Top Pair ProducKon
43 Resolved topology:
Each parton matched to a single jet.
“fat jet”, R=0.8 Boosted topology:
à Decay products collimated High top pT or high mObar
arXiv:1605.00116
m
jet~ m
topCMS-PAS-TOP-16-013
Similar behavior at Run II and in boosted top.
(GeV) Leading top pT
0 200 400 600 800 1000 1200
)-1 (pb/GeV T1/L dN/dp
−5
10
−4
10
−3
10
−2
10
Detector level
Data (resolved) Data (boosted) Powheg aMC@NLO Madgraph
(13 TeV) 2.53 fb-1
CMS
Preliminary
resolved
boosted
Jet Multiplicity in Top Quark Pair Events
§ Predictions overshoot the data for large jet
multiplicities when out of the box parameters are used (in Monash-based tunes: αsISR=0.1365)
§ Effect also observed with 8 TeV data.
44
CMS-PAS-TOP-12-041 (dilepton 8 TeV), CMS-PAS-TOP-16-011 (dilepton 13 TeV), CMS-PAS-TOP-16-008 (l+jets 13 TeV)
hOp://cms-results.web.cern.ch/cms-results/public- results/publicaKons/TOP-12-041/index.html#AddFig
Tune α
sISRusing 8 TeV Obar Njets and jet pT data —>
CMS-PAS-TOP-16-021
è Significantly lower strong coupling
è Consistent with PDG world average (0.118)
CMS data CUETP8M1 CUETP8M1T1 CUETP8M1T4±δαISRs
hdampup hdampdown 10−2
10−1
CMS+Professor 19.7 fb-1(8 TeV)
1/σvisdσvis/dNjets
2 3 4 5 6
0.6 0.8 1 1.2 1.4
Njets, pT>30 GeV
MC/Data
Njets
2 3 4 5 ≥6
jetsdNσd σ1
10-2
10-1
1 10
(13 TeV) 2.2 fb-1
CMSPreliminary
Dilepton pjetT> 30 GeV, |ηjet| < 2.4 Data
Powheg v2+Pythia8 Powheg v2+Herwig++
MG5_aMC@NLO+Pythia8 [FxFx]
MG5_aMC@NLO+Pythia8 [MLM]
Njets
2 3 4 5 ≥6
DataTheory
0.6 0.8 1 1.2 1.4
Syst.
Stat. ⊕ Stat.
QUESTIONS
&
BREAK
45
Top Quark Mass
46
§ A fundamental free parameter of the SM
§ Check consistency of SM with high precision
§ Check consistency of SM at very high energy scales
§ m
tα y
tà The largest coupling among the fermions – special role in electroweak symmetry breaking?
arXiv: 1407.3792
Top Mass Measurements
§ Basic methods
u
Full invariant mass
reconstrucKon à The most powerful and standard
u
ParKal reconstrucKon using a variable correlated to top mass à less powerful but different systemaKc uncertainKes
u
Indirect measurement through O and O+jet cross secKons, … à top quark pole mass
47
Full Mass ReconstrucKon
§ General features:
u
Assign each jet to a top decay product (constrained kinemaKc fits)
u
Fit to templates
u
CalibraKon of the method based on m
tMC=m
tmeasu
DeterminaKon of m
tMC(and JES simultaneously) from data.
48
Main challenge: Jet reconstrucJon, Jet energy scale uncertainJes, modeling.
è JES calibraKon with dijet and γ/Z+jet events à
~1-3%
è <1% when complemented with in-situ JES calibraKon.
E.g. Full Mass reconstrucKon: The Ideogram Method
49
§ Template method with mulKple permutaKons (correct, wrong, unmatched) per event.
§ All different permutaKons taken into account.
§ KinemaKc fit à improve mass reconstrucKon.
[GeV]
reco
mW
0 50 100 150 200 250 300
Data/MC 0.5
1 1.5
Permutations / 5 GeV 500010000
15000 20000 25000 30000 35000 40000 45000
correct t t
wrong t t
unmatched t
t Data
Single t W+jets Z+jets QCD multijet Diboson
(8 TeV) Lepton+jets, 19.7 fb-1
CMS
Before kinematic fit
[GeV]
reco
mW
0 50 100 150 200 250 300
Data/MC 0.5
1 1.5
Permutations / 5 GeV 5000
10000 15000 20000 25000
correct t t
wrong t t
unmatched t
t Data
Single t W+jets Z+jets QCD multijet Diboson
(8 TeV) Lepton+jets, 19.7 fb-1
CMS
selection After Pgof
[GeV]
mt
172 172.5
JSF
1 1.001 1.002 1.003 1.004 1.005 1.006 1.007
1.008 2D
Hybrid 1D
(8 TeV) Lepton+jets, 19.7 fb-1
CMS
[GeV]
fitt
m
100 200 300 400
Data/MC 0.5
1 1.5
Permutations / 5 GeV 2000
4000 6000 8000 10000
12000 tt correct
wrong t t
unmatched t
t Data
Single t W+jets Z+jets QCD multijet Diboson
(8 TeV) Lepton+jets, 19.7 fb-1
CMS
selection After Pgof
arXiv: 1509.04044
Summary of Top Mass Measurements using full Mass reconstrucKon
50 [GeV]
mtop
165 170 175 180 185
ATLAS+CMS Preliminary LHCtopWG mtop summary, s = 7-8 TeV
shown below the line (*) Superseded by results
Sep 2015 World Comb. Mar 2014, [7]
0.67) GeV 0.76 (0.36 ±
= 173.34 ± mtop
stat
total uncertainty total stat
Ref.
s syst)
± total (stat
top± m
ATLAS, l+jets (*) 172.31 ± 1.55 (0.75 ± 1.35) 7 TeV [1]
ATLAS, dilepton (*) 173.09 ± 1.63 (0.64 ± 1.50) 7 TeV [2]
CMS, l+jets 173.49 ± 1.06 (0.43 ± 0.97) 7 TeV [3]
CMS, dilepton 172.50 ± 1.52 (0.43 ± 1.46) 7 TeV [4]
CMS, all jets 173.49 ± 1.41 (0.69 ± 1.23) 7 TeV [5]
LHC comb. (Sep 2013) 173.29 ± 0.95 (0.35 ± 0.88) 7 TeV [6]
World comb. (Mar 2014) 173.34 ± 0.76 (0.36 ± 0.67) 1.96-7 TeV [7]
ATLAS, l+jets 172.33 ± 1.27 (0.75 ± 1.02) 7 TeV [8]
ATLAS, dilepton 173.79 ± 1.41 (0.54 ± 1.30) 7 TeV [8]
ATLAS, all jets 175.1 ± 1.8 (1.4 ± 1.2) 7 TeV [9]
ATLAS, single top 172.2 ± 2.1 (0.7 ± 2.0) 8 TeV [10]
l+jets, dil.)
Mar 2015
(
ATLAS comb. 172.99 ± 0.91 (0.48 ± 0.78) 7 TeV [8]
CMS, l+jets 172.35 ± 0.51 (0.16 ± 0.48) 8 TeV [11]
CMS, dilepton 172.82 ± 1.23 (0.19 ± 1.22) 8 TeV [11]
CMS, all jets 172.32 ± 0.64 (0.25 ± 0.59) 8 TeV [11]
CMS comb. (Sep 2015) 172.44 ± 0.48 (0.13 ± 0.47) 7+8 TeV [11]
[1] ATLAS-CONF-2013-046 [7] arXiv:1403.4427 [2] ATLAS-CONF-2013-077 [8] Eur.Phys.J.C (2015) 75:330 [3] JHEP 12 (2012) 105 [9] Eur.Phys.J.C75 (2015) 158 [4] Eur.Phys.J.C72 (2012) 2202 [10] ATLAS-CONF-2014-055 [5] Eur.Phys.J.C74 (2014) 2758 [11] CMS PAS TOP-14-022
§ Precision 0.3% ~ 2Λ
QCD§ Dominant systemaKc
uncertainKes: flavor-
dependent JEC and b
jet modeling.
Improving Top Mass Measurements
§ Dedicated measurements and theory studies to improve modeling.
§ AlternaKve measurements displaying different aspects of systemaKcs
§ Use observables with a well-defined mass
definiKon in pQCD: σ(Obar), m(lb), m(O,jet), …
§ And alternaKve topologies.
51