ATLAS Collaboration / Physics Letters B 732 (2014) 8–27 11
Fig. 1. Three-body invariant-mass distribution for H → Zγ , Z → μμ (top) or
Z
→ ee (bottom) selected events in the 8 TeV, m
H
= 125 GeV gluon-fusion sig-
nal simulation, after applying all analysis cuts, before (filled circles) and after (open
diamonds) the corrections described in Section 4.2. The solid and dashed lines rep-
resent the fits of the points to the sum of a Crystal Ball and a Gaussian function.
photon direction and FSR corrections improve the invariant-mass
resolution by about 1% each, while the Z -mass constraint brings
an improvement of about 15–20%.
Fig. 1 illus
trates the distributions of m
μμγ
and m
eeγ
for
simulated signal events from gg
→ H at m
H
= 125 GeV after
all corrections. The m
eeγ
resolution is about 8% worse due to
bremsstrahlung. The m
γ
distribution is modelled with the sum
of a Crystal Ball function (a Gaussian with a power-law tail), rep-
resenting the core of well-reconstructed events, and a small, wider
Gaussian component describing the tails of the distribution. For
m
H
=125.5 GeV the typical mass resolution σ
CB
of the core com-
ponent of the m
μμγ
distribution is 1.6 GeV.
4.3. Event classification
The selected events are classified into four categories, based
on the pp centre-of-mass energy and the lepton flavour. To en-
hance the sensitivity of the analysis, each event class is further
divided into categories with different signal-to-background ratios
and invariant-mass resolutions, based on (i) the pseudorapidity dif-
ference
η
Zγ
between the photon and the Z boson and (ii) p
Tt
,
3
the component of the Higgs boson candidate p
T
that is orthogo-
nal to the Z
γ thrust axis in the transverse plane [58]. Higgs boson
candidates are classified as high- (low-)p
Tt
candidates if their p
Tt
3
p
Tt
=|(
p
γ
T
+
p
Z
T
) ×
ˆ
t| where
ˆ
t = (
p
γ
T
−
p
Z
T
)/|
p
γ
T
−
p
Z
T
| denotes the thrust axis
in the transverse plane, and
p
γ
T
,
p
Z
T
are the transverse momenta of the photon and
the Z boson.
Table 2
Expect
ed signal (N
S
) and background (N
B
)yieldsina±5 GeV mass window around
m
H
= 125 GeV for each of the event categories under study. In addition, the ob-
served number of events in data (N
D
) and the FWHM of the signal invariant-mass
distribution, modelled as described in Section 4.2, are given. The signal is assumed
to have SM-like properties, including the production cross section times branching
ratio. The background yield is extrapolated from the selected data event yield in the
invariant-mass region outside the
±5 GeV window around m
H
=125 GeV, using an
analytic background model described in Section 6. The uncertainty on the FWHM
from the limited size of the simulated signal samples is negligible in comparison to
the systematic uncertainties described in Section 5.
√
s
[TeV]
Category N
S
N
B
N
D
N
S
√
N
B
FWHM
[GeV]
8 μ high p
Tt
2.3 310 324 0.13 3.8
8
μ low p
Tt
,low|η| 3.7 1600 1587 0.09 3.8
8
μ low p
Tt
,high|η| 0.8600 6020.03 4.1
8 e high p
Tt
1.9 260 270 0.12 3.9
8 e low p
Tt
,low|η| 2.9 1300 1304 0.08 4.2
8 e low p
Tt
,high|η| 0.6 430 421 0.03 4.5
7
μ high p
Tt
0.440 400.06 3.9
7
μ low p
Tt
0.6 340 335 0.03 3.9
7 e high p
Tt
0.325 210.06 3.9
7 e low p
Tt
0.5 240 234 0.03 4.0
is greater (smaller) than 30 GeV. In the analysis of
√
s = 8TeV
data, low-p
Tt
candidates are further split into two classes, high-
and low-
|η
Zγ
|, depending on whether |η
Zγ
| is greater or less
than 2.0, yielding a total of ten event categories. Signal events are
typically characterised by a larger p
Tt
and a smaller |η
Zγ
| than
background events, which are mostly due to q
¯
q → Z + γ events
in which the Z boson and the photon are back-to-back in the
transverse plane. Signal events with high p
Tt
or low |η| are en-
riched in VBF, VH and ttH events, in which the Higgs boson is more
boosted, and in gluon fusion events in which the leptons and the
photon are harder or more central in the detector than in signal
events with low p
Tt
and high |η|.Thisresultsinabetterγ in-
variant mass resolution for the high p
Tt
and low |η| categories,
which are also characterised by a better signal-to-background ra-
tio.
As an example, the expected number of signal and background
events in each category with invariant mass within a
±5 GeV win-
dow around m
H
=125 GeV, the observed number of events in data
in the same region, and the full-width at half-maximum (FWHM)
of the signal invariant-mass distribution, are summarised in Ta-
ble 2. Using this classification improves the signal sensitivity of
this analysis by 33% for a Higgs boson mass of 125.5 GeV com-
pared to a classification based only on the centre-of-mass energy
and lepton flavour categories.
4.4. Sample composition
The main backgrounds originate from continuum Z +γ , Z →
production, from radiative Z → γ decays, and from Z + jet,
Z
→ events in which a jet is misidentified as a photon. Small
contributions arise from t
¯
t and WZ events. Continuum Z + γ
events are either produced by qq in the t-oru-channels, or from
parton-to-photon fragmentation. The requirements m
> m
Z
−
10 GeV, m
γ
> 115 GeV and R
γ
> 0.3 suppress the contribu-
tion from Z
→ γ , while the photon isolation requirement re-
duces the importance of the Z
+γ fragmentation component. The
latter, together with the photon identification requirements, is also
effective in reducing Z
+ jets events.
In this analysis, the estimated background composition is not
used to determine the amount of expected background, which is
directly fitted to the data mass spectrum, but is used to normalise
the background Monte Carlo samples used for the optimisation of