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搜索衰减BS0→K ∗0μ+ μ− $$ {B} _S ^ 0 \至{\ overline {K}} ^ {\ ast 0} {\ mu} ^ {+} {\ mu} ^ {-} $$是使用分别对应于质心中心能量为7、8和13 TeV的LHCb实验在pp碰撞期间在pp碰撞期间收集的积分光度的数据集1.0、2.0和1.6 fb-1表示的。 与仅背景的假设相比,发现有过量,其显着性为3.4个标准差。 BS0→K¯*0μ+ μ− $$ {B} _S ^ 0 \到{\ overline {K}} ^ {\ ast 0} {\ mu} ^ {+} {\ mu} ^的分支分数 {-} $$衰减确定为ℬBs0→K ∗0μ+ μ− = 2.9±1.0stat±0.2syst±0.3norm×10−8 $$ \ mathrm {\ mathcal {B}} \ left({B } _s ^ 0 \ to {\ overline {K}} ^ {\ ast 0} {\ mu} ^ {+} {\ mu} ^ {-} \ right)= \ left [2.9 \ pm 1.0 \ left(\ mat
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JHEP07(2018)020
Published for SISSA by Springer
Received: April 20, 2018
Revised: June 12, 2018
Accepted: June 19, 2018
Published: July 3, 2018
Evidence for the decay B
0
s
→ K
∗0
µ
+
µ
−
The LHCb collaboration
E-mail: andrew.christopher.crocombe@cern.ch
Abstract: A search for the decay B
0
s
→ K
∗0
µ
+
µ
−
is presented using data sets corre-
sponding to 1.0, 2.0 and 1.6 fb
−1
of integrated luminosity collected during pp collisions
with the LHCb experiment at centre-of-mass energies of 7, 8 and 13 TeV, respectively. An
excess is found over the background-only hypothesis with a significance of 3.4 standard
deviations. The branching fraction of the B
0
s
→ K
∗0
µ
+
µ
−
decay is determined to be
B(B
0
s
→ K
∗0
µ
+
µ
−
) = [2.9 ±1.0 (stat) ±0.2 (syst) ±0.3 (norm)] ×10
−8
, where the first and
second uncertainties are statistical and systematic, respectively. The third uncertainty is
due to limited knowledge of external parameters used to normalise the branching fraction
measurement.
Keywords: B physics, FCNC Interaction, Flavor physics, Hadron-Hadron scattering (ex-
periments), Rare decay
ArXiv ePrint: 1804.07167
Open Access, Copyright CERN,
for the benefit of the LHCb Collaboration.
Article funded by SCOAP
3
.
https://doi.org/10.1007/JHEP07(2018)020
JHEP07(2018)020
Contents
1 Introduction 1
2 Detector and simulation 2
3 Candidate selection 3
4 Signal yields 4
5 Results 8
6 Systematic uncertainties 9
7 Summary 11
A Invariant-mass distributions 12
The LHCb collaboration 19
1 Introduction
The decay B
0
s
→ K
∗
(892)
0
µ
+
µ
−
, hereafter referred to as B
0
s
→ K
∗0
µ
+
µ
−
, proceeds via
a b → d flavour-changing neutral-current (FCNC) transition. The leading contributions
to the amplitude of the decay correspond to loop Feynman diagrams and involve the off-
diagonal element V
td
of the Cabibbo-Kobayashi-Maskawa (CKM) quark-mixing matrix.
This process is consequently rare in the Standard Model of particle physics (SM). New
particles predicted by extensions of the SM can enter in competing diagrams and can
significantly enhance or suppress the rate of the decay, see for example refs. [1, 2]. Form-
factor computations for the B
0
s
→ K
∗0
transition have been made using light-cone sum
rule [3, 4] and lattice QCD [5] techniques. Standard Model predictions for the branching
fraction of the decay are in the range 3–4 × 10
−8
[6–8].
The observation of the rare b → d`
+
`
−
FCNC decays B
+
→ π
+
µ
+
µ
−
and
Λ
0
b
→ pπ
−
µ
+
µ
−
has been previously reported by the LHCb collaboration in refs. [9] and [10],
respectively. Evidence for the decay B
0
→ π
+
π
−
µ
+
µ
−
has also been established in
ref. [11]. The decay B
0
s
→ K
∗0
µ
+
µ
−
has not yet been observed. The measured ratio
of the B
+
→ π
+
µ
+
µ
−
and B
+
→ K
+
µ
+
µ
−
branching fractions has also been used to deter-
mine the ratio of CKM elements |V
td
/V
ts
| [12], exploiting correlations between the B → K
and B → π form-factors in lattice computations. A similar approach could, in the future,
be applied to the ratio of the B
0
s
→ K
∗0
µ
+
µ
−
and B
0
→ K
∗0
µ
+
µ
−
decay rates [13].
The decay B
0
→ K
∗0
µ
+
µ
−
, which involves a b → s`
+
`
−
transition, has been studied
extensively by BaBar, Belle, CDF and by the LHC experiments [14–19]. The rate of the
– 1 –
JHEP07(2018)020
decay appears to be systematically lower than current SM predictions. Global analyses
of b → s processes favour a modification of the SM at the level of 4 to 5 standard devia-
tions [20–24]. Similar studies of b → d processes are important to understand the flavour
structure of the underlying theory.
This paper presents a search for the decay B
0
s
→ K
∗0
µ
+
µ
−
, where the inclusion of
charge-conjugate processes is implied throughout, using data collected with the LHCb
experiment in pp collisions during Runs 1 and 2 of the LHC. The data set used in this
paper is as follows: 1.0 fb
−1
of integrated luminosity collected at a centre-of-mass energy of
7 TeV during Run 1; 2.0 fb
−1
of integrated luminosity collected at a centre-of-mass energy
of 8 TeV during Run 1; and 1.6 fb
−1
of integrated luminosity collected at a centre-of-mass
energy of 13 TeV during Run 2. Section 2 of this paper describes the LHCb detector and
the experimental setup used for the analysis. Section 3 outlines the selection processes
used to identify signal candidates. Section 4 describes the method used to estimate the
number of B
0
s
→ K
∗0
µ
+
µ
−
decays in the data set. Section 5 describes the determination of
the B
0
s
→ K
∗0
µ
+
µ
−
branching fraction, normalising the number of observed signal decays
to the number of B
0
→ J/ψ K
∗0
decays present in the data set. Section 6 discusses sources
of systematic uncertainty on the B
0
s
→ K
∗0
µ
+
µ
−
branching fraction. Finally, conclusions
are presented in section 7.
2 Detector and simulation
The LHCb detector [25, 26] is a single-arm forward spectrometer covering the
pseudorapidity range 2 < η < 5, designed for the study of particles containing b or c
quarks. The detector includes a high-precision tracking system consisting of a silicon-
strip vertex detector surrounding the pp interaction region [27], a large-area silicon-strip
detector located upstream of a dipole magnet with a bending power of about 4 Tm, and
three stations of silicon-strip detectors and straw drift tubes [28] placed downstream of
the magnet. The tracking system provides a measurement of momentum, p, of charged
particles with a relative uncertainty that varies from 0.5% at low momentum to 1.0% at
200 GeV/c. The minimum distance of a track to a primary vertex (PV), the impact param-
eter (IP), is measured with a resolution of (15 + 29/p
T
) µm, where p
T
is the component of
the momentum transverse to the beam, in GeV/c. Different types of charged hadrons are
distinguished using information from two ring-imaging Cherenkov detectors [29]. Photons,
electrons and hadrons are identified by a calorimeter system consisting of scintillating-
pad and preshower detectors, an electromagnetic calorimeter and a hadronic calorimeter.
Muons are identified by a system composed of alternating layers of iron and multiwire
proportional chambers [30].
The online event selection is performed by a trigger [31]. The trigger consists of a
hardware stage, based on information from the calorimeter and muon systems, followed
by a software stage, which applies a full event reconstruction. The signal candidates are
required to pass through a hardware trigger that selects events containing at least one
muon with p
T
greater than 1 to 2 GeV/c, depending on the data-taking conditions. The
software trigger requires a two-, three- or four-track secondary vertex with a significant
– 2 –
JHEP07(2018)020
displacement from any primary pp interaction vertex. At least one charged particle must
have a large transverse momentum p
T
> 1 GeV/c and be inconsistent with originating from
a PV. A multivariate algorithm [32] is used for the identification of secondary vertices
consistent with the decay of a b hadron.
Samples of simulated B
0
s
→ K
∗0
µ
+
µ
−
, B
0
→ K
∗0
µ
+
µ
−
, B
0
s
→ J/ψ K
∗0
and
B
0
→ J/ψ K
∗0
decays are used to develop an offline event selection and to determine the
efficiency to reconstruct the B
0
and B
0
s
candidates in the different data-taking periods.
In the simulation, pp collisions are generated using Pythia [33] with a specific LHCb
configuration [34]. Decays of hadronic particles are described by EvtGen [35], in which
final-state radiation is generated using Photos [36]. The interaction of the generated parti-
cles with the detector, and its response, are implemented using the Geant4 toolkit [37, 38]
as described in ref. [39]. Data-driven corrections are applied to the simulation to account
for mismodelling of the detector occupancy and of the B
0
(s)
meson production kinemat-
ics. The particle identification (PID) performance is measured from data using calibration
samples [26].
3 Candidate selection
Signal candidates are formed by combining a K
∗0
candidate with two oppositely charged
tracks, which are identified as muons by the muon system. The K
∗0
meson is reconstructed
through its decay to the K
−
π
+
final state with invariant mass within ±70 MeV/c
2
of the
known K
∗
(892)
0
mass [40]. The muon pair is required to have an invariant mass squared
in the range 0.1 < q
2
< 19.0 GeV
2
/c
4
, excluding the region 12.5 < q
2
< 15.0 GeV
2
/c
4
dominated by the ψ(2S) resonance. Candidates in the region 8.0 < q
2
< 11.0 GeV
2
/c
4
,
which are dominated by decays via a J/ψ resonance, are treated separately in the analysis.
The remaining candidates include B
0
s
meson decays that produce a dimuon pair through the
decay of a light-quark resonance or a charmonium state above the open charm threshold,
which are inseparable from the short-distance component of the decay. These are considered
part of the signal in the analysis.
The selection process used in this analysis is similar to that described in ref. [18]. The
four charged tracks are required to each have a significant IP with respect to all PVs in
the event and to be consistent with originating from a common vertex. The B
0
(s)
meson
candidate is required to be consistent with originating from one of the PVs in the event
and its decay vertex is required to be well separated from that PV. The kaon and pion
candidates must also be identified as kaon-like and pion-like by a multivariate algorithm [26]
based on information from the RICH detectors, tracking system and calorimeters. The PID
requirements are chosen to maximise the sensitivity to a SM-like B
0
s
→ K
∗0
µ
+
µ
−
signal.
To improve the resolution on the reconstructed K
−
π
+
µ
+
µ
−
invariant mass,
m(K
−
π
+
µ
+
µ
−
), candidates with an uncertainty larger than 22 MeV/c
2
on their measured
mass are rejected. The opening angle between every pair of final-state particles is also
required to be larger than 5 mrad in the detector. This requirement removes a possible
source of background that arises when the hits associated to a given charged particle are
mistakenly used in more than one reconstructed track. A kinematic fit is also performed,
– 3 –
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