systematic uncertainty is included to account for potential
differences between the W and Z higher-order corrections
(EW W/Z decorrelation). Finally, additional systematic
uncertainties are applied to the Wðq
¯
qÞ, Zðq
¯
qÞ, and
Hðb
¯
bÞ yields to account for the uncertainties due to the
jet energy scale and resolution [65], variations in the
amount of pileup, and the integrated luminosity determi-
nation [66]. A quantitative summary of the systematic
effects considered is shown in Table I.
In order to validate the background estimation
method and associated systematic uncertainties, studies
are performed on simulated samples injecting signal
events and determining the bias on the measured signal
cross section. No significant bias is observed in these
studies.
A binned maximum likelihood fit to the observed m
SD
distributions in the range 40 to 201 GeV with 7 GeV bin
width is performed using the sum of the Hðb
¯
bÞ, W, Z, t
¯
t,
and QCD multijet contributions. The fit is done simulta-
neously in the passing and failing regions of the six p
T
categories within 450 <p
T
< 1000 GeV, and in the t
¯
t-
enriched control region. The production cross sections
relative to the SM cross sections (signal strengths) for
the Higgs and the Z bosons, μ
H
and μ
Z
, respectively, are
extracted from the fit. Figure 1 shows the m
SD
distributions
in data for the passing and failing regions with measured
SM background and Hðb
¯
bÞ contributions. Contributions
from W and Z boson production are clearly visible in
the data.
The measured Z boson signal strength is μ
Z
¼
0.78 0.14ðstatÞ
þ0.19
−0.13
ðsystÞ, which corresponds to an
observed significance of 5.1 standard deviations (σ) with
5.8σ expected. This constitutes the first observation of the
Z boson signal in the single-jet topology [67] and validates
the substructure and b tagging techniques for the Higgs
boson search in the same topology. The measured cross
section for the Z þ jets process for jet p
T
> 450 GeV and
jηj < 2.5 is 0.85 0.16ðstatÞ
þ0.20
−0.14
ðsystÞpb, which is
TABLE I. Summary of the systematic uncertainties affecting
the signal, W and Z þ jets processes. Instances where the
uncertainty does not apply are indicated by “…”.
Systematic source W/ZH
Integrated luminosity 2.5% 2.5%
Trigger efficiency 4% 4%
Pileup <1% <1%
N
1;DDT
2
selection
efficiency
4.3% 4.3%
Double-b tag 4% (Z)4%
Jet energy scale/
resolution
10/15% 10/15%
Jet mass scale (p
T
) 0.4%/100 GeV (p
T
) 0.4%/100 GeV (p
T
)
Simulation sample
size
2–25% 4–20% (GGF)
Hp
T
correction … 30% (GGF)
NLO QCD
corrections
10% …
NLO EW
corrections
15–35% …
NLO EW W/Z
decorrelation
5–15% …
4
u
t
et
ota
ac
roun
t
13 TeV
-
.
M
< 1
V
450 <
ou
e-
ta
er
ailin
re
io
4
2
4
t
mu
t
et
t
4
4
u
t
et
ota
ac
roun
t
13 TeV
-1
.
M
< 1
V
450 <
ou
e-
ta
er
ass
n
re
o
2
4
t
mu
t
et
t
(GeV)
SD
Events / 7 GeV
(GeV)
SD
m
Events / 7 GeV
FIG. 1. The m
SD
distributions in data for the failing (left) and
passing (right) regions and combined p
T
categories. The QCD
multijet background in the passing region is predicted using
the f ailing region and the pass-fail ratio R
p/f
. The features at
166 and 180 GeV in the m
SD
distribution are due to the
kinematic selection on ρ, which affects each p
T
category
differently. In the bottom p anel, the ratio of the data to its
statistical uncertainty, after subtracting the nonresonant back-
grounds, is shown.
PHYSICAL REVIEW LETTERS 120, 071802 (2018)
071802-4