This document outlines José Cupertino Ruiz Vargas's PhD thesis on searching for diboson resonances in CMS data. It begins with an introduction to the standard model of particle physics and motivations for physics beyond the standard model, including the Randall-Sundrum model with extra dimensions. It then describes the CMS detector and object identification techniques. The analysis strategy is to select events with two opposite-sign leptons and two jets, and estimate backgrounds using Monte Carlo simulations and data-driven techniques. Unblinded results show agreement between data and background predictions in control regions.
3. Outline
Search for Diboson Resonances
q General Strategy
q Event Selection
Analysis of CMS Data
q Background Estimation
q Confidence Limits
Conclusions and Outlook
22 May 2017 SÃO PAULO RESEARCH AND ANALYSIS CENTER 3
Introduction
q The Standard Model and Beyond
q The Randall-Sundrum Model
The LHC and the CMS experiment
q Detector Components
q Identification of Physical Objects
7. Standard Model (3)
22 May 2017 SÃO PAULO RESEARCH AND ANALYSIS CENTER 7
Predicts
q Weak interaction via
neutral current.
q The mass of the vector
bosons (W and Z).
q The existence of gluons
and three jets events.
q The evolution of the
coupling constant.
q The existence of the
Higgs boson.
Improvements
q Reproduces the low energy
phenomenology.
q The amplitudes respect
unitarity bounds.
q GIM mechanism requires
family structure.
q CP violation described by the
CKM matrix.
q Formulation of a gauge
theory for strong
interactions (QCD).
Success
q Existence of W, Z and gluons
was confirmed.
q The existence of three
families was established.
q CP violation found in the
third generation.
q There is no evidence of
fermionic structure.
q Discovery of the
Higgs boson.
11. Extra Dimensions and Randall-Sundrum Model
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Randall-Sundrum Model
q 5-dimensional bulk
q 4-dimensional branes
q Warped ED compactified in
𝑆" 𝑍$⁄ orbifold
Exponential hierarchy
q Solves hierarchy problem
𝑀'(
$
=
𝑀∗
+
𝑘
(1 − 𝑒1$234)
Kaluza-Klein idea (1920’s)
q Gravity and EM unified
via 5-dimensional gravity
q Kaluza-Klein modes
𝑚$
= 𝑚7
$
+ 9
𝑛;
$
𝑅;
$
=
;>"
q Extra dimensions
𝑅; (𝑖 = 1, … , 𝛿)
24. 22 May 2017 SÃO PAULO RESEARCH AND ANALYSIS CENTER 24
Graviton mass (GeV)
750 800 1000 1200 1400 1600 1800 2000 2500
Efficiency
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
= 0.5Pl
ZZ, k/M→bulkG
m channel NP e channel NP
m channel HP e channel HP
m channel LP e channel LP
Preliminary 13 TeVCMS
Selection Cut-flow and Signal Efficiency
25. Signal Characterization in Simulation
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(GeV)
T
first generated muon p
0 100 200 300 400 500 600 700 800
normalized
0
0.01
0.02
0.03
0.04
0.05
Background
Mean 157.5
Std Dev 105.4
Signal
Mean 367.7
Std Dev 171.8
SimulationCMS
(GeV)
T
generated Z boson p
0 200 400 600 800 1000 1200 1400 1600
normalized
0
0.02
0.04
0.06
0.08
0.1
0.12
Background
Mean 317.3
Std Dev 116.6
Signal
Mean 738
Std Dev 128.2
SimulationCMS
34. Background Shape Estimation: Alpha Method
Invariant mass in the control region
(GeV)ZVm
600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600
Events/(50GeV)
1
10
2
10
muon channel high purity
Data in SB (68)
Parametric model
7.0)±Z+jets (66
1.2)±(1.8tVV, t
muon channel high purity
Data in SB (68)
Parametric model
7.0)±Z+jets (66
1.2)±(1.8tVV, t
(13 TeV)-1
2.7 fb
CMS
Preliminary
Alpha transfer factor from simulation
(GeV)ZVm
600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600
Events/(50GeV)
1
10
muon channel high purity
Z+jets SB Z+jets SR
-functionα
muon channel high purity
Z+jets SB Z+jets SR
-functionα
(13 TeV)-1
2.7 fb
CMS
Simulation
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35. Unblind Results: Jet Mass
Muon Low Purity
(GeV)Jm
20 40 60 80 100 120 140 160 180 200 220
Events/(5GeV)
0
10
20
30
40
50
60
70
80
90
muon channel low purity
Data (592)
Parametric model
30)±Z+jets (578
4.2)±(17.8tVV, t
Pulls
5−
0
5
(13 TeV)-1
2.7 fb
CMS
Preliminary
Electron Low Purity
(GeV)Jm
20 40 60 80 100 120 140 160 180 200 220
Events/(5GeV)
0
10
20
30
40
50
60
70
80
90
electron channel low purity
Data (412)
Parametric model
25)±Z+jets (399
3.7)±(13.5tVV, t
Pulls
5−
0
5
(13 TeV)-1
2.7 fb
CMS
Preliminary
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36. Unblind Results: Jet Mass
Muon High Purity
(GeV)Jm
20 40 60 80 100 120 140 160 180 200 220
Events/(5GeV)
0
5
10
15
20
25
30
35
40
45
50
muon channel high purity
Data (222)
Parametric model
24)±Z+jets (194
3.8)±(14.2tVV, t
Pulls
5−
0
5
(13 TeV)-1
2.7 fb
CMS
Preliminary
Electron High Purity
(GeV)Jm
20 40 60 80 100 120 140 160 180 200 220
Events/(5GeV)
0
5
10
15
20
25
30
35
40
45
50
electron channel high purity
Data (155)
Parametric model
18)±Z+jets (118
3.5)±(12.5tVV, t
Pulls
5−
0
5
(13 TeV)-1
2.7 fb
CMS
Preliminary
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37. Invariant Mass in Signal Region
Muon Low Purity
(GeV)ZV
m
600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600
Events/(50GeV)
1
10
2
10
muon channel low purity
Data in SR (157)
Parametric model
11.0)±Z+jets (150
2.6)±(7.4tVV, t
Pulls
5−
0
5
(13 TeV)-1
2.7 fb
CMS
Preliminary
Electron Low Purity
(GeV)ZV
m
600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600
Events/(50GeV)
1
10
2
10
electron channel low purity
Data in SR (116)
Parametric model
10.3)±Z+jets (105
2.1)±(5.3tVV, t
Pulls
5−
0
5
(13 TeV)-1
2.7 fb
CMS
Preliminary
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38. Invariant Mass in Signal Region
Muon High Purity
(GeV)ZV
m
600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600
Events/(50GeV)
1
10
2
10
muon channel high purity
Data in SR (110)
Parametric model
7.8)±Z+jets (88
3.0)±(10.1tVV, t
Pulls
5−
0
5
(13 TeV)-1
2.7 fb
CMS
Preliminary
Electron High Purity
(GeV)ZV
m
600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600
Events/(50GeV)
1
10
2
10
electron channel high purity
Data in SR (85)
Parametric model
6.5)±Z+jets (53
3.0)±(9.3tVV, t
Pulls
5−
0
5
(13 TeV)-1
2.7 fb
CMS
Preliminary
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45. Conclusions and Outlook
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Search for diboson resonances
q ZZ semi-leptonic channel
q Data from CMS 2015 pp collisions
Most significant excess
q Invariant mass = 1 TeV
q P-value = 0.018
q Significance = 2σ
Benchmark model
q Randall-Sundrum bulk graviton
q No evidence found
Analysis with 2016 data
q Combined effort
◦ Higgs + B2G analysis groups
q Results with full statistics
◦ Under approval
Outlook
q LHC
◦ Additional 20 years of operation
◦ Integrated luminosity ∼2,500 fb-1
q Analysis technique improvement
◦ Machine Learning: disentangle jets