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提出了一个搜索到衰变为两个希格斯玻色子,每个衰变为底部夸克-反夸克对的窄宽度共振的方法。 使用与LHC CMS探测器记录的s = 13 $$ \ sqrt {s} = 13 $$ TeV的积分光度35.9 fb-1对应的质子-质子碰撞数据执行搜索。 没有观察到这种信号的证据。 共振的生产横截面乘以共振质量与所选质量数在260至1200 GeV范围内所选衰减模式的支化分数的乘积,设置上限。
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JHEP08(2018)152
Published for SISSA by Springer
Received: June 9, 2018
Revised: July 21, 2018
Accepted: August 16, 2018
Published: August 23, 2018
Search for resonant pair production of Higgs bosons
decaying to bottom quark-antiquark pairs in
proton-proton collisions at 13 TeV
The CMS collaboration
E-mail: cms-publication-committee-chair@cern.ch
Abstract: A search for a narrow-width resonance decaying into two Higgs bosons, each
decaying into a bottom quark-antiquark pair, is presented. The search is performed us-
ing proton-proton collision data corresponding to an integrated luminosity of 35.9 fb
−1
at
√
s = 13 TeV recorded by the CMS detector at the LHC. No evidence for such a signal
is observed. Upper limits are set on the product of the production cross section for the
resonance and the branching fraction for the selected decay mode in the resonance mass
range from 260 to 1200 GeV.
Keywords: Beyond Standard Model, Hadron-Hadron scattering (experiments), Higgs
physics
ArXiv ePrint: 1806.03548
Open Access, Copyright CERN,
for the benefit of the CMS Collaboration.
Article funded by SCOAP
3
.
https://doi.org/10.1007/JHEP08(2018)152
JHEP08(2018)152
Contents
1 Introduction 1
2 Detector and simulated samples 2
3 Event reconstruction 3
4 Event selection 3
5 Signal and background modeling 5
6 Systematic uncertainties 8
7 Results 10
8 Summary 14
The CMS collaboration 19
1 Introduction
The discovery of a Higgs boson (H) [1–3], with mass of 125 GeV [4, 5] and properties con-
sistent with the standard model (SM) of particle physics at the CERN LHC, motivates
searches for resonances via their decays into Higgs bosons. Several theories for physics be-
yond the SM posit narrow-width resonances decaying into pairs of Higgs bosons (HH). For
instance, models with a warped extra dimension [6] predict the existence of new particles
such as the spin-0 radion [7–9] and the spin-2 first Kaluza-Klein (KK) excitation of the
graviton [10–12], which could decay to HH. These models have an extra warped spatial
dimension compactified between two branes, with an exponential metric κl, κ being the
curvature and l the coordinate of the extra spatial dimension [13]. The benchmark of the
model is the ultraviolet cutoff of the theory, Λ ≡
√
8πe
−κl
M
Pl
, M
Pl
being the Planck scale.
In proton-proton (pp) collisions at the LHC, the graviton and the radion are produced
primarily through gluon-gluon fusion and are predicted to decay to HH with branching
fractions of approximately 10 and 23%, respectively [14].
Previous searches for resonant HH production have been performed by the ATLAS
and CMS Collaborations with pp collisions at
√
s = 8 and 13 TeV. The decay channels
studied include bbbb [15–17], bbττ [18], bbγγ [19, 20], γγWW [21], and bbWW [22].
This paper reports the results of a search for narrow-width resonances in the
260–1200 GeV mass range, decaying into a pair of Higgs bosons, each decaying into a pair
of bottom quarks. The search is performed using pp collision data collected at
√
s = 13 TeV
– 1 –
JHEP08(2018)152
with the CMS detector at the CERN LHC, corresponding to an integrated luminosity of
35.9 fb
−1
. The main challenge of this search is to discriminate the final-state signature of
four bottom quark jets from the overwhelming multijet quantum chromodynamics (QCD)
background. This is addressed by dedicated online selection criteria that include b jet
identification and by a model of the multijet background that is tested in control regions
of data. The analysis closely follows the approach adopted for the 8 TeV data [15] but the
sensitivity for high resonance mass values is enhanced because of the significant increase in
production cross section at 13 TeV, a new trigger strategy and a more efficient algorithm
for identifying jets originating from bottom quarks.
2 Detector and simulated samples
The central feature of the CMS apparatus is a superconducting solenoid of 6 m internal
diameter, providing a magnetic field of 3.8 T. A silicon pixel and strip tracker, a lead
tungstate crystal electromagnetic calorimeter, and a brass and scintillator hadron calor-
imeter, each composed of a barrel and two endcap sections, reside within the solenoid.
Forward calorimeters extend the pseudorapidity (η) [23] coverage provided by the barrel
and endcap detectors. Muons are detected in gas-ionization chambers embedded in the
steel flux-return yoke outside the solenoid. A more detailed description of the CMS detec-
tor, together with a definition of the coordinate system used and the relevant kinematic
variables, can be found in ref. [23]
Simulated samples of signal events are produced using various Monte Carlo (MC) event
generators, with the CMS detector response modeled using the Geant4 [24] program. To
model the production of a generic narrow-width spin-0 resonance, we use an MC simulation
of the bulk radion produced through gluon fusion. The momenta and angular distributions
for decay products of a spin-2 resonance are distinct from those for a spin-0 resonance, and
result in different kinematic distributions. Therefore, we evaluate the signal efficiencies
for a narrow-width spin-2 resonance from a separate simulation of the first excitation of a
bulk KK graviton produced through gluon fusion and forced to decay to a pair of Higgs
bosons with the parameters reported in ref. [25]. Bulk graviton and radion signal events
are simulated with masses in the range 260–1200 GeV and widths of 1 MeV (narrow-width
approximation), using the MadGraph5 amc@nlo 2.3.3 [26] event generator at leading
order (LO). The resonance is forced to decay into a pair of Higgs bosons which in turn decay
into bb. The parton distribution function (PDF) set NNPDF3.0 [27] with LO accuracy is
used. The showering and hadronization of partons are simulated with pythia 8.212 [28].
During the 2016 data-taking period the average number of pp interactions per bunch
crossing was approximately 23. The simulated samples include these additional pp interac-
tions, referred to as pileup interactions (or pileup), that overlap with the event of interest
in the same bunch crossing. Simulated events are weighted to match the number of pp
interactions per event in data.
– 2 –
JHEP08(2018)152
3 Event reconstruction
The particle-flow (PF) algorithm [29] is used to reconstruct and identify individual particle
in an event with an optimized combination of information from the various elements of the
CMS detector. The algorithm identifies each reconstructed particle (PF candidate) as an
electron, a muon, a photon, or a charged or neutral hadron.
The reconstructed vertex with the largest value of summed physics-object transverse
momentum squared (p
2
T
) is taken to be the primary pp interaction vertex. The physics
objects are the jets, clustered using the jet finding algorithm [30, 31] with the tracks
assigned to the vertex as inputs, and the associated missing transverse momentum, taken
as the negative vector sum of the p
T
of those jets. This vertex is used for all the objects
in the event reconstructed with the PF algorithm.
Jets are reconstructed from PF candidates using the anti-k
T
clustering algorithm [30],
with a distance parameter of 0.4, as implemented in the FastJet package [31, 32]. Jet
identification criteria are also applied to reject jets originating from detector noise. The
average neutral energy density from pileup interactions is evaluated from PF objects and
subtracted from the reconstructed jets [33]. Jet energy corrections are derived from the
simulation, and are confirmed with in situ measurements of the energy balance in dijet and
photon+jet events [34].
Jets are identified as originating from b quarks (“b jets”) using the DeepCSV [35]
discriminator, a new b tagging algorithm based on a deep neural network with four hidden
layers [36]. The DeepCSV discriminator employs the same set of observables as those
used by the combined secondary vertex (CSV) algorithm [35, 37], except that the track
selection is expanded to include up to six tracks, further improving the b jet identification.
The operating point chosen corresponds to a 1 (12)% rate for misidentifying a light-flavor
(c-flavor) jet as a b jet. The b tagging efficiency for jets with p
T
in the 30–150 GeV range
is approximately 69% and gradually decreases for lower and higher jet p
T
[35].
4 Event selection
The search for a narrow-width X → H(bb)H(bb) resonance is performed for mass values
in the 260–1200 GeV range. The angular distributions for the decay products of such a
resonance vary substantially over this range. In order to increase the sensitivity of this
search, different criteria are used for events in two distinct mass regions: the low-mass
region (LMR), for resonance masses from 260 to 620 GeV, and the medium-mass region
(MMR), for masses from 550 to 1200 GeV. The boundary between the LMR and the MMR
is at 580 GeV. It has been chosen by optimizing for the expected sensitivity and takes
into account the uncertainties associated with the background modeling. The mass range
above 1200 GeV (high-mass region) is not covered by this search. Above 900 GeV, the Higgs
bosons have a momentum considerably higher than their mass and the Higgs to bb decays
are reconstructed more efficiently as single hadronic jets with a larger anti-k
T
distance
parameter (0.8) [38].
– 3 –
JHEP08(2018)152
Events are selected online by combining two different trigger selections to identify b
jets, both using the CSV algorithm. For the first trigger selection, four jets with p
T
>
30 GeV and |η| < 2.4 are required. The latter requirement ensures that the jet lies within
the tracker acceptance. Of those four jets, two are required to have p
T
> 90 GeV and at
least three jets are required to be tagged as b jets. The second trigger selection requires
four jets with p
T
> 45 GeV and at least three of those jets identified as b jets.
Events are selected offline by requiring at least four b tagged jets with p
T
> 30 GeV
and |η| < 2.4. The selected jets are combined randomly into pairs to form two Higgs boson
candidates with masses m
H
1
and m
H
2
. For the LMR, HH candidates are chosen from the
four selected jets such that |m
H
−120 GeV| < 40 GeV for each candidate Higgs boson. For
the MMR the H candidates are selected using ∆R =
√
(∆η)
2
+ (∆φ)
2
less than 1.5, where
∆η and ∆φ are the differences in the pseudorapidities and azimuthal angles (in radians)
of the two jets.
In the two-dimensional space defined by the reconstructed masses of the two Higgs
boson candidates, H
1
and H
2
, a circular signal region (SR) is defined with R < 1, where
R is defined as:
R =
s
m
H
1
− M
r
2
+
m
H
2
− M
r
2
(4.1)
The central mass value (M) is the average of the means of the m
H
1
and m
H
2
distributions
for simulated signal events and the parameter r is set to 20 GeV. The centers of these
circular regions have been determined separately for the LMR and MMR and found to
be 120 and 125 GeV, respectively. If there are multiple HH candidates in an event, the
combination that minimizes R
2
is used.
After these event selection criteria are applied, the dijet invariant mass resolution
for m
H
1
and m
H
2
is approximately 10–13%, depending on the p
T
of the reconstructed
Higgs boson, with a few percent shift in the value of the mass peak, relative to 125 GeV.
The Higgs boson mass resolution is further improved by applying multivariate regression
techniques similar to those used in the searches for SM Higgs bosons decaying to bb in
CMS [39, 40]. The regression estimates a correction that is applied after the standard
CMS jet energy corrections [34, 41], and it is computed for individual b jets to improve
the accuracy of the measured energy with respect to the b quark energy. To this end, a
specialized boosted decision tree [42] is trained on simulated b jets from tt events, with
inputs that include observables related to the jet structure and b tagging information. The
average improvement in the Higgs boson mass resolution, measured with simulated signal
samples, is 6–12%, depending on the p
T
of the reconstructed Higgs boson. The use of the
regression technique increases the sensitivity of the analysis by 5–20% depending on the
mass hypothesis. The regression technique is validated with data samples of Z → (ee, µµ)
events with two b tagged jets and in tt-enriched samples [39]. The cumulative selection
efficiencies of the selection criteria described above for the graviton and radion signal
benchmarks are reported in figure 1.
The reconstructed resonance mass (m
X
), computed as the invariant mass of H
1
and
H
2
, is displayed for simulated signal events with different mass hypotheses in figure 2. In
– 4 –
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