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Nuclear Inst. and Methods in Physics Research, A 866 (2017) 196–201
Contents lists available at ScienceDirect
Nuclear Inst. and Methods in Physics Research, A
journal homepage: www.elsevier.com/locate/nima
High purity 100 GeV electron identification with synchrotron radiation
E. Depero l , D. Banerjee l , V. Burtsev j , A. Chumakov j , D. Cooke l , A.V. Dermenev e ,
S.V. Donskov i , F. Dubinin f , R.R. Dusaev j , S. Emmenegger l , A. Fabich d , V.N. Frolov b ,
A. Gardikiotis h , S.N. Gninenko e , M. Hösgen a , A.E. Karneyeu e , B. Ketzer a , M.M. Kirsanov e ,
I.V. Konorov c , V.A. Kramarenko g , S.V. Kuleshov k , V.E. Lyubovitskij j , V. Lysan b ,
V.A. Matveev b , Yu.V. Mikhailov i , V.V. Myalkovskiy b , V.D. Peshekhonov b,1 ,
D.V. Peshekhonov b , V.A. Polyakov i , B. Radics l , A. Rubbia l , V.D. Samoylenko i ,
V.O. Tikhomirov f , D.A. Tlisov e , A.N. Toropin e , B. Vasilishin j , G. Vasquez Arenas k , P. Ulloa k ,
P. Crivelli l, *
a
Universität Bonn, Helmholtz-Institut für Strahlen-und Kernphysik, 53115 Bonn, Germany
b Joint Institute for Nuclear Research, 141980 Dubna, Russia
c Technische Universität München, Physik Department, 85748 Garching, Germany
d
CERN, European Organization for Nuclear Research, CH-1211 Geneva, Switzerland
Institute for Nuclear Research, 117312 Moscow, Russia
f
P.N. Lebedev Physics Institute, Moscow, Russia, 119 991 Moscow, Russia
g
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
h
Physics Department, University of Patras, Patras, Greece
i
State Scientific Center of the Russian Federation Institute for High Energy Physics of National Research Center ’Kurchatov Institute’ (IHEP), 142281 Protvino, Russia
j Tomsk Polytechnic University, 634050 Tomsk, Russia
k Universidad Técnica Federico Santa María, 2390123 Valparaíso, Chile
l ETH Zurich, Institute for Particle Physics, CH-8093 Zurich, Switzerland
e
a r t i c l e
i n f o
Keywords:
Synchrotron detector
High energy electron tagging
Hadron rejection
a b s t r a c t
In high energy experiments such as active beam dump searches for rare decays and missing energy events,
the beam purity is a crucial parameter. In this paper we present a technique to reject heavy charged particle
contamination in the 100 GeV electron beam of the H4 beam line at CERN SPS. The method is based on the
detection with BGO scintillators of the synchrotron radiation emitted by the electrons passing through a bending
dipole magnet. A 100 GeV 𝜋 − beam is used to test the method in the NA64 experiment resulting in a suppression
factor of 10−5 while the efficiency for electron detection is ∼95%. The spectra and the rejection factors are in
very good agreement with the Monte Carlo simulation. The reported suppression factors are significantly better
than previously achieved.
© 2017 Elsevier B.V. All rights reserved.
1. Introduction
Many high energy experiments require pure electron beams. Despite
the steady improvement, the available energy of pure primary beams
from electron machines is limited. Furthermore, the specific time structure made of very short pulse trains is not suitable for counting experiments. Secondary electron beams can provide higher beam energies with
a uniform time structure. However, in secondary beams a contamination
* Corresponding author.
1
E-mail address: crivelli@phys.ethz.ch (P. Crivelli).
Deceased.
http://dx.doi.org/10.1016/j.nima.2017.05.028
Received 24 March 2017; Received in revised form 8 May 2017; Accepted 19 May 2017
Available online 12 June 2017
0168-9002/© 2017 Elsevier B.V. All rights reserved.
of particles other than electrons below a level of few % is basically
unavoidable. An example is the NA64 experiment at CERN in which
it is mandatory to suppress hadron and muon contamination in the
electron beam since such particles can generate irreducible background
processes mimicking the experimental signature of a dark photon [1,2].
NA64 uses 100 GeV electrons from the H4 SPS beam line at CERN which
is one of the best existing beam lines at this energy in terms of beam
purity [3].
E. Depero et al.
Nuclear Inst. and Methods in Physics Research, A 866 (2017) 196–201
Fig. 1. Drawing of the NA64 experimental setup used for these measurements (from [2]).
The standard technique of detecting Cherenkov radiation to distinguish between electrons and heavy charged particles is very inefficient
at energies of 100 GeV [4]. Instead in NA64 we detect the synchrotron
radiation, produced by the electrons passing through a dipole bending
magnet, using BGO crystals located downstream of the magnet. NA64
is a fixed-target experiment at the CERN SPS [2] combining the active
beam dump and missing energy techniques to search for rare events
predicted in Dark Sector models [5]. The electron beam is dumped in an
active target, an electromagnetic calorimeter (ECAL) made of lead and
scintillators in a sandwich geometry of shashlik type (corresponding to
about 40 radiation lengths) [2]. If Dark Sectors exist, bremsstrahlung
photons generated in the target could produce dark photons (𝐴′ ) via
kinetic mixing [6–8]. The dark photons could then decay to a pair of
particles in the Dark Sector (𝜒) which will escape the setup undetected.
The basic concept of using the synchrotron radiation emitted from
high-energy electrons to reject heavy charged particles is to exploit the
high suppression of the radiated power emitted by particles heavier
than electrons passing through a magnetic field in order to discriminate
them. The use of this technique is not new. Detection of electrons or
positrons in electron beams with momenta ranging from 30 to 50 GeV
has been reported earlier by [9–11] and the achieved suppression factor
was around 1%. However, here we present the results obtained with
this method using the BGO detector employed in NA64. As will be
shown, our results have a very good overall efficiency 95% and 3 orders
of magnitude better rejection factor than previously reported using a
similar scheme [10].
A charged particle in a magnetic field moves in a circular motion,
emitting photons along its trajectory due to the basic principles of
electrodynamics. Both quantum and classical theory of synchrotron
radiation (SR) are well understood [4]. In the range of interest for our
experiment both treatments are equivalent and we can therefore use the
classical approximation for our calculations. The total power 𝑆 emitted
per unit length by a relativistic charged particle of energy 𝐸 with mass
𝑀 and with bending radius 𝑅 in a magnetic field 𝐵 perpendicular to its
velocity is given by:
𝑆=
𝑞2 𝑐
1
𝐸4
6𝜋 (𝑀𝑐 2 )4 𝑅2
vacuum windows, residual gas, beam counters such as scintillators and
trackers result in interactions of the incoming particles with material.
Therefore, the suppression factor when crossing materials is limited by
the emission of secondary electrons with enough kinetic energy (several
MeV) to leave a synchrotron-like signal in the detector. Although most of
the ionization loss of heavy charged particles is only a few keV, rare high
energy transfer to the secondary electrons is possible. The distribution
of such secondary electrons with kinetic energy 𝑇 ≫ 𝐼, where 𝐼 is
the mean excitation energy of the atom/molecule, for a particle with
velocity 𝛽 = 𝑣∕𝑐 and charge 𝑧 passing through a material with atomic
number 𝑍, mass number 𝐴 and thickness 𝑑𝑥 is described by [12]:
𝑑2𝑁
1
𝑍 1 𝐹 (𝑇 )
= 𝐾𝑧2
.
𝑑𝑇 𝑑𝑥
2
𝐴 𝛽2 𝑇 2
(2)
The constant 𝐾 is defined as 𝐾 = 4𝜋𝑁𝐴 𝑟2𝑒 𝑚𝑒 𝑐 2 where N𝐴 is Avogadro’s
number, 𝑟𝑒 is the classical electron radius and 𝑚𝑒 the electron mass. 𝐹 (𝑇 )
is a spin-dependent factor, which in our case for 𝑇 ≪ 𝑊𝑚𝑎𝑥 is very close
to unity. W𝑚𝑎𝑥 is the maximal energy transfer in a single collision to the
electron:
𝑊𝑚𝑎𝑥 =
2𝑚𝑒 𝑐 2 𝛽 2 𝛾 2
1 + 2𝛾𝑚𝑒 ∕𝑀 + (𝑚𝑒 ∕𝑀)2
.
(3)
For a 𝜋 − at 100 GeV, 𝑊𝑚𝑎𝑥 is roughly 1 GeV which covers completely
the energy range where synchrotron radiation is emitted. Eq. (2) is valid
in the range 𝐼 ≪ 𝑇 ≤ 𝑊𝑚𝑎𝑥 .
The total emitted power scales with the energy of the charged
particle to the fourth power. In principle, this scaling would make it
possible to correlate the total energy emitted via synchrotron radiation
with the momentum of the particle. However, the broad total energy
distribution of the synchrotron radiation would result in a very low efficiency for rejecting 50 GeV electrons in a 100 GeV beam. Furthermore,
experimental issues limit this approach. In fact, electrons interacting
with the material or the residual gas can generate Bremsstrahlung
photons that overlap with the synchrotron radiation spectrum and spoil
the energy reconstruction capability. For this reason, in NA64 such an
approach alone is not enough to achieve the sensitivity required by the
experiment and therefore a tracking system is mandatory to reject low
energy electrons [13].
(1)
where 𝑞 is the charge of the particle and 𝑐 the speed of light. Since
the emission angle of the synchrotron photons is proportional to the
inverse of the Lorentz factor 𝛾, the photons are emitted tangentially to
the particle trajectory.
The total emitted power has an inverse scaling to the fourth power
of the charged particle mass. Therefore, heavy charged particles emit
orders of magnitude less synchrotron radiation than light ones. For 𝜇 +∕−
and 𝜋 +∕− with about 200 𝑒− mass, one can estimate that they radiate
∼10−9 times less than an electron. This would be the case if the particles
propagate in an ideal vacuum. However, in a real experimental setup,
2. Experimental setup
The NA64 experimental setup [2] used for this measurement is
shown in Fig. 1. As shown in Fig. 1, a set of veto counters (denoted as
V2 in the drawing) and 4 hadronic-calorimeter (HCAL) modules placed
directly after the ECAL ensures the Hermiticity required to search for
the missing momentum with the aimed sensitivity. The experimental
signature is thus an energy deposition below a given threshold (around
50 GeV in NA64) in the ECAL, no activity in V2 and no energy deposition
in the HCAL. In Fig. 2 the energy deposition in the ECAL for a 100 GeV
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E. Depero et al.
Nuclear Inst. and Methods in Physics Research, A 866 (2017) 196–201
Fig. 3. Result of the Geant 4 simulation for the energy detected by the SR detector for
50/100 GeV e− (black dashed/solid line) and 50/100 GeV 𝜋 − (red dashed/solid line). (For
interpretation of the references to color in this figure legend, the reader is referred to the
web version of this article.)
Fig. 2. Measured spectra of the energy deposited in the ECAL for the 100 GeV electrons
delivered by the H4 beam line.
by requiring an energy threshold in the synchrotron detector. For pions,
one can see that the probability of detecting an event with energy above
1 MeV (the threshold in our detector) is about ∼10−3 − 10−4 . These SRlike signals originate from the interactions of the incoming pions with
material which they ionize as predicted by Eq. (2).
Furthermore, Geant 4 reproduces the critical energy 𝐸𝑐 which
divides the spectrum into two parts of equal power is:
electron beam is shown. In addition to the expected peak at 100 GeV
from electrons, one can see the presence of hadrons punching through
the ECAL and the peak close to zero from minimum ionizing particles
(MIP). Since hadrons and muons are a source of background for the
experiment [1], their contamination in the beam has to be suppressed
at a level of 10−5 . The synchrotron radiation detector (SRD) described
in this paper was designed to serve this purpose.
To reject low-energy electrons and heavier charged particles, a
synchrotron radiation detector (SRD) is required to have a good energy
resolution (see Eq. (1)). Moreover, in order to work efficiently at high
rates of 1 × 105 particles/s good timing properties are necessary.
We chose Bi4 Ge3 O12 (BGO) crystals the properties of which are a
good compromise in terms of energy and time resolution. The detector
consists of 8 hexagonal crystals with an external diameter of 55 mm
and a length of 200 mm. The crystals are grouped into two modules.
Each crystal is wrapped in Teflon tape for efficient light collection
and one of the base of the hexagon is glued to a 2 inch ETL 9954
photomultipliers (PMT). The gain of the PMTs was set using a 100 GeV
𝜋 − beam impinging directly on the SRD. The pions crossing the BGO
have a mean energy deposition of about 60 MeV, as expected for a MIP
particle, which is in the range of the SR radiation.
The BGO has a density of 7.13 g/cm3 and a light yield of about 8500
photons/MeV, this coupled to the transportation losses and quantum
efficiency of the PMT gives an energy resolution of about 17% (FWHM)
at 1.27 MeV (measured with a22 Na radioactive source). All the crystals
were tested using cosmic muons and their decay time was measured
to be about 300 ns in good agreement with the value quoted in literature [14]. The BGO’s signals are digitized by the MSADC system [15]
which is connected to the DAQ of the experiment. The DAQ is strippeddown version of the COMPASS iFDAQ system [16].
3ℏ𝑐𝛾 3
(4)
2𝑅
with the reduced Planck constant ℏ and the bending radius 𝑅. For
100 GeV electrons in the 𝐵 = 1.7 T bending field this corresponds to
𝐸𝑐 ∼11.35 MeV. The expected mean energy of a synchrotron photon
𝐸𝑚 = 𝐸𝑐 ∕𝜋 ≃ 3.6 MeV is in very good agreement with simulation. The
number of photons emitted per revolution in this energy range in the
field of 7 T m is defined as:
𝐸𝑐 =
5𝜋𝛼
𝑁𝛾 = √ 𝛾
3
(5)
where 𝛼 is the fine structure constant. By scaling this equation for the
fraction of the circle where the particles are inside the magnetic field,
one obtains a mean number of emitted photon of about 24. The SRD
geometrical acceptance is about one third, thus one can estimate that the
sum of deposited energy is approximately 29.35 MeV in good agreement
with the results of the simulation as shown in Fig. 3.
4. Experimental results
The SRD detector was tested during the NA64 test beam run in July
2016. The two BGO rows are parallel to the primary beam direction
as shown in Fig. 4. The dipole magnets installed in series (see Fig. 1)
produce a total integrated magnetic field of 7 T⋅m [2] resulting in a
nominal displacement for the incoming electrons at the SRD/ECAL positions of 31/34 cm from the undeflected beam axis. The SRD was placed
between the undeflected and the deflected beam axis at a distance of
approximately 9 cm from both (Fig. 4). This separation minimizes the
possibility for Bremsstrahlung photons and neutral particles produced
by interactions of the beam particle with materials upstream (vacuum
windows, collimators, trackers...) and for particles in the beam halo (the
FWHM of the beam is approximately 1.5 cm) to hit the SRD. In fact, such
interactions result in the saturation of the SRD with a significant loss of
efficiency due to the long decay time of the BGOs.
The two crystals facing the beam (labeled 3 and 7 in Fig. 4) detect
most of the energy emitted by synchrotron radiation. We will refer to
those as SRD BGOs from now on. The remaining six crystals are used
to detect events with high energy deposition in the SRD. In particular
the last two crystals of each row (labeled 0 and 4 in Fig. 4) detect some
energy only in the case of very energetic Bremsstrahlung events and
thus can be used as a veto (see Fig. 4). The six crystals after the SRD
3. Geant 4 simulation of SR spectra
Simulation of the expected SR signal was performed with the Geant
4 package [17]. The geometry of the NA64 experiment was coded in
Geant 4, including the 200 μm mylar vacuum windows, the detailed
composition of the trackers, scintillators and the residual gas was set at
a level of 10−3 mBar as in the measurements. Saturation of BGO was
taken into account using Birks’ law with the constants taken from [18].
The expected SR spectra for pions and electrons with energies of 50
GeV and 100 GeV are shown in Fig. 3. The plot shows the expected
dependence on the incoming electron energy in the emission spectra
for the realistic experimental conditions. Moreover, the comparison
between the SR spectra of pions and electrons illustrates clearly the
principle of this technique that allows to discriminate between them
198
E. Depero et al.
Nuclear Inst. and Methods in Physics Research, A 866 (2017) 196–201
Fig. 4. Geometry of the BGO crystals. Crystals 7, 3 (SRD BGO) collect most of the synchrotron radiation spectrum. Crystals 4, 0 (VETO BGO) on the other hand are effected only in case
of a high energy event and are thus used as a veto. The remaining crystals serve as a shield for the SRD from backscattering particles coming from the ECAL. Top: illustration of event
leaving a SR signal in the SRD. Bottom: illustration of a SR-like signal in the SRD for a knock-on electron produced by pions.
Table 1
Fraction of pion and electron events for different hit multiplicity in the SRD from the data.
BGOs act also as a shield from backscattering particles coming from the
ECAL suppressing pions by an additional order of magnitude. Finally
in this geometry it is possible to use the coincidence of the two SRD
BGO crystals to improve the tagging of synchrotron photons by rejecting
knock-on electrons produced by incoming pions. In fact synchrotron
radiation has a homogeneous spectrum in the whole arc described by
the primary and deflected beam and thus a signal is detected in both
SRD BGOs. On the contrary, electrons generated by a 𝜋 − undergoing
ionization will mostly leave energy only in a single crystal as illustrated
in Fig. 4. With the requirement of detecting in both SRD BGOs an energy
deposition above a 1 MeV the suppression factor is improved up to a
level of 10−5 .
Data with a 100 GeV 𝜋 − beam were taken to have a direct measurement of the suppression factor achievable through synchrotron radiation
measurements. The beam intensity was 5.3 × 104 particles per spill. The
trigger was given by the coincidence of the three plastic scintillator
counters (S1, S2 and S3 shown in Fig. 1). The additional requirement
of an energy deposition below 60 GeV in the ECAL was applied in
order to select an almost pure 𝜋 − sample of ∼ 105 collected events. The
probability for electrons to punch through the 40 radiation lengths of
the ECAL was estimated to be at a level of 10−12 [2].
For the 100 GeV electron beam run, a total of 220 spills were
recorded with an intensity of 3.4×105 /spill. The same trigger used in the
pion run was used for the electron data. In this case though, in order to
reduce the pion contamination which is at a level of few % and obtain
a pure sample of electrons-only events with a total energy deposition in
ECAL + HCAL above 90 GeV but with less than 20 GeV energy in the
HCAL were used.
The energy spectra recorded by the SRD BGO with electrons and
pions are shown in Fig. 5. The SR spectra obtained with the electron
beam are used to perform the BGO calibration by comparison with the
simulation. With this method a very good agreement of data and MC
is achieved (see plot on the left of Fig. 5). As a cross check, using the
obtained calibration constants, the data from the pion beam impinging
directly on the SRD are fitted with a Landau distribution. The obtained
peak position of 60 MeV is in good agreement with the prediction of the
MC.
Time coincidence of signals above the energy threshold of 1 MeV
from both SRD counters is required and high energy Bremsstrahlung
events are removed using the veto BGO. The suppression of synchrotron
radiation emission detected for pions compared to electrons is clearly
visible by comparing the two plots. For the electron spectrum, a 1%
pileup beam events have been added to the simulation as predicted for
Events hit multiplicity (%)
0 BGO
1 BGO
2 BGOs
Pions
Electrons
98.77
2.4 × 10−1
1.21
2.60
1.4 × 10−3
97.37
the given spill intensity and with the known decay time of BGOs. Both
spectra are in very good agreement with the simulation.
The efficiency for the electrons and the suppression factor for the
pions are plotted in Fig. 6 as a function of the threshold on the energy
deposited in the SRD. We distinguish between two cases:
1. The threshold is set on the total energy deposited in the SRD.
2. Both SRD signals have to be in-time and above the threshold of
1 MeV (multiplicity requirement).
One can see that applying the criterion (2) the efficiency only
decreases slightly compared to (1), while the suppression factor for
pions is dramatically increased (by two orders of magnitude) with
the requirement of having the two BGOs in coincidence. This can
be understood because the SR-like signal generated from secondary
electron will leave a signal only in one of the two BGOs while the SR
from electrons is spread out uniformly as explained above. This is also
nicely evidenced by Table 1 where the fraction of events with different
hit multiplicity in the SRD BGO for both pion and electron runs are
reported.
5. Conclusions
In this paper we demonstrated that detection of synchrotron radiation using BGO crystals is a very powerful method to tag 100 GeV
electrons bending in a 7 T m magnetic field. Discriminating on the
total energy deposited in the SRD by setting a threshold of 10 MeV,
the contamination of pions in the beam can be suppressed down to a
level of 10−3 (see Fig. 6). Moreover, we have shown that exploiting the
granularity of the detector one can suppress the signal from secondary
electrons generated via hadron ionization resulting in a suppression of
hadron contamination down to a level 10−5 maintaining an electron
identification efficiency of ∼95%. According to the Geant 4 simulation validated with our measurements a further improvement by an
additional order of magnitude is expected by increasing the detector
granularity. In order not to degrade the efficiency due to pileup effects
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Nuclear Inst. and Methods in Physics Research, A 866 (2017) 196–201
Fig. 5. Comparison between data and simulation (MC) of the synchrotron radiation spectrum detected for 100 GeV electrons (left) and pions (right).
Fig. 6. Left: Comparison between data and simulation (MC) for electrons of the efficiency as a function of threshold set on the total energy deposited in the SRD BGO and for the
requirement that this is deposited in each single crystal (multiplicity). Right: Comparison between data and simulation for pions and electrons of the suppression factor as a function of
the threshold set on the total energy deposited in the SRD BGO and for the multiplicity requirement.
at higher beam intensity of 1 × 106 electrons/s as achievable in the H4
beam line at the CERN SPS, one should use faster detectors such as a
PbSc sampling calorimeter or LYSO crystals. These options will be tested
by the NA64 collaboration in the near future.
PIA/Basal FB0821 CONICYT (Chile). Part of the work on MC simulations
was supported by the RSF grant 14-12-01430. We thank the COMPASS
DAQ group and the Institute for Hadronic Structure and Fundamental
Symmetries of TU Munich for the technical support.
Acknowledgments
References
We gratefully acknowledge the support of the CERN management
and staff and the technical staffs of the participating institutions for their
vital contributions. This work was supported by the HISKP, University
of Bonn (Germany), JINR (Dubna), MON and RAS (Russia), the Russian
Federation program ‘‘Nauka’’ (Contract No. 0.1764.GZB.2017), ETH
Zurich 0-43007-16 and SNSF Grant No. 169133 (Switzerland), and
grants FONDECYT 1140471 and 1150792, PIA/Ring ACT1406 and
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