Abstract

Although the existence of dark matter is supported by many evidences, based on astrophysical measurements, its nature is still completely unknown. One major candidate is represented by weakly interacting massive particles (WIMPs), which could in principle be detected through their collisions with ordinary nuclei in a sensitive target, producing observable low-energy (<100 keV) nuclear recoils. The DarkSide program aims at the WIPMs detection using a liquid argon time projection chamber (LAr-TPC). In this paper we quickly review the DarkSide program focusing in particular on the next generation experiment DarkSide-G2, a 3.6-ton LAr-TPC. The different detector components are described as well as the improvements needed to scale the detector from DarkSide-50 (50 kg LAr-TPC) up to DarkSide-G2. Finally, the preliminary results on background suppression and expected sensitivity are presented.

1. Introduction

A wide range of astronomical evidence implies the existence of dark matter, but as yet the nature of this major component of the universe is completely unknown. A leading candidate explanation is that dark matter is composed of weakly interacting massive particles (WIMPs) formed in the early universe and gravitationally clustered together with the standard baryonic matter. Such WIMPs could in principle be detected through their collisions with ordinary nuclei in a sensitive target, producing observable low-energy (<100 keV) nuclear recoils. The predicted collision rates are very low and require ultra-low background detectors with large (0.1–10 tons) target masses, located in deep underground sites to reduce the background produced by neutrons from cosmic ray muons [14].

Many technologies have been developed for the direct detection of dark matter WIMPs. These include cryogenic bolometers with ionization or scintillation detection (CDMS [5], EDELWEISS [6], and CRESST [7]), sodium/cesium iodide scintillation detectors (DAMA/LIBRA [8] and KIMS [9]), bubble chambers (PICASSO [10] and COUPP [11]), a point contact germanium detector (CoGeNT [12]), detectors using liquid xenon (XENON [13], ZEPLIN [14], LUX [15], and XMASS [16]), and detectors using liquid argon (miniCLEAN [17], DEAP [18], ArDM [19], and the experiment described in this paper, DarkSide). These detectors all share the common goal of achieving the low detection threshold energy required to observe the collisions of WIMPs with target nuclei and the low background to identify these extremely rare events as being from nonstandard sources.

To date, the LUX collaboration has obtained the most sensitive results for WIMPs, placing a limit of 8 × 10−46 cm2 for a WIMP mass of 33 GeV/c2 [15]. Evidence for a low-mass dark matter signal has been claimed by the DAMA/LIBRA and CoGeNT collaborations and may be consistent with recent observations of the CDMS collaboration using Si detectors [20]. However, these are in apparent contradiction with the XENON [13] results and a recent low-energy analysis of CDMS-Ge detectors data [21]. They also are in strong contradiction with the recent results from LUX, which prima facie rule out the evidences for low-mass WIMPs presented by COGENT [12] and CDMS-Si [20]. The motivation for direct WIMP searches, however, remains extremely strong, especially for high (>200 GeV/c2) masses not yet explored by the LHC and the region of low cross section (10−45 cm2–10−47 cm2) corresponding to H-mediated scattering [22].

Among the variety of detector technologies, noble liquid time projection chambers (TPCs), which detect both the scintillation light and the ionization electrons produced by recoiling nuclei, are particularly promising. Among the noble liquids, argon can effectively discriminate signal from background thanks to the time profile of the primary light signal, which depends on the interacting particle energy loss rate. In addition, liquid argon can be highly purified as demonstrated in [23] (see also references cited therein). The ability to identify, measure, and reject background makes the liquid argon TPC a key technology in dark matter searches.

The DarkSide collaboration plans to develop a multiton liquid argon TPC in the next 2-3 years. In this paper, we describe the promising results obtained with a 10 kg prototype, the current commissioning of an experiment with a 50 kg TPC, and the ongoing R&D for DarkSide-G2, the final multiton detector.

2. The DarkSide Experiment

The DarkSide project is designed for direct detection of dark matter particles, at Laboratori Nazionali del Gran Sasso (LNGS), using a two-phase TPC with liquid argon (LAr) targets. The main feature of the LAr technology is the capability to efficiently separate nuclear recoil events, as expected from WIMP interactions, from electron recoil events. In addition, the high photon yield (~40000 photons/MeV for ~MeV electrons at null electric field) and the optical transparency to its own light make liquid argon an ideal medium for detecting dark matter particle interactions.

As for all the direct dark matter experiments, the success of the project mostly depends on the background control, by using ultrapure materials and purification systems, identification, and suppression. The DarkSide collaboration has dedicated a notable effort in order to meet the background requirements on internal contaminations and external background from cosmic rays, detector materials, and the surrounding rocks. A particular effort has been dedicated to 39Ar, a -decay with long half-life ( = 269 years and -value = 565 keV), intrinsic to liquid argon. is mainly formed in the atmosphere by cosmic neutron interactions on . is, indeed, present with relatively high concentrations (~10 with respect to ) in commercial liquid argon, a distillation product of liquid air. The DarkSide collaboration identified underground argon (UAr), where the exposure to cosmic rays is naturally minimized, as solution to problem. The Princeton group successfully demonstrated that is suppressed by more than 2 orders of magnitude in UAr with respect to commercial argon of atmospheric origin (AAr) [25].

A three-stage program was designed to test both the background reduction and the liquid argon technology. In particular, the staged approach allows deeply investigating the key aspect of the experiment, its background identification capabilities. The first prototype, DarkSide-10, a 10 kg TPC installed at LNGS inside a passive shield, provided fundamental measurements, demonstrating the high light yield achievable in a liquid argon TPC (~9 photoelectrons/ measured at null field averaging over calibration gammas from Co, Na, and Cs) [23].

The current phase, DarkSide-50, already installed at LNGS, consists in 33 kg of liquid argon fiducial mass. It is shielded by 3500-meter water equivalent of rock and by the double veto, a spherical borated scintillator detector, housing the TPC, designed to veto neutrons and gamma rays, and a more external water Cherenkov one to detect the residual cosmic ray flux. DarkSide-50 not only will demonstrate the background suppression efficiency but also will have the potential to provide a significant physics reach of 10 cm in the WIMP cross section at 100 GeV/c mass in 0.1 ton × year exposure. The data taking of DarkSide-50 recently started and will use for the first time the UAr. This intermediate phase has already allowed the collaboration to tackle technical issues, paving the way for the following phase of the project, the so-called DarkSide-G2, a 3.6 ton TPC, with a physics goal of 10 cm at 100 GeV/c in 18 ton × year exposure. The double veto, commissioned for DarkSide-50, will also house DarkSide-G2, adding another brick towards the DarkSide final measurement. A schematic drawing of the muon veto, neutron veto, and LAr TPC is shown in Figure 1.

This review is focused on the description of the third phase of DarkSide, highlighting the already achieved progress and the future needed improvements.

3. The TPC

The WIMP signature in a LAr TPC relies on both the excitation and the ionization of the argon. The first results in a direct scintillation signal. The latter is split into two processes: a fraction of the electron-ion pairs undergoes a recombination, which deexcites by emitting photons; the remaining free electrons are drifted towards the liquid surface, by an electric field, and are extracted into the gas phase. In the so-called gas pocket, electrons, further accelerated by a stronger electric field, excite the gas atoms producing a secondary scintillation via electroluminescence. The light components emitted in liquid argon and in gas are called and , respectively.

Interacting particles can be statistically identified exploiting two features of the liquid argon response: the ratio between and , which depends on the recombination probability, and the photoelectron time distribution, which depends on the probability of populating singlet (~10 ns decay time) and triplet (~1 μs decay time) states of the excited argon molecule. Both the features depend on the interacting particle stopping power. We estimate a discrimination power of ~10 for the / ratio and ~10 for the pulse shape discrimination [26, 27].

In DarkSide-G2 the dimensions of the cryostat were designed to safely accommodate the LAr-TPC, with diameter and height of 1531 mm and 1503 mm, respectively, for a total active Ar mass of 3.8 ton. Taking into account the volume occupied by the TPC material and support structure and the 10% ullage fraction, the total Ar mass is 5.4 ton.

Both and signals are detected by 556 3′′ Hamamatsu low-background R11065-G2 PMTs, 278 each on the top and the bottom, which view the active Ar through fused silica windows. The cylindrical surface is a reflector, coated with a wavelength shifter that absorbs the 128 nm scintillation photons emitted by liquid argon. The reemitted visible photons are reflected with high efficiency. The windows at the top and bottom of the cylinder are also coated with the wavelength shifter on the inner surfaces and on both surfaces with a transparent conductive layer (indium-tin-oxide (ITO)). This allows the inner window surfaces to serve as the grounded anode (top) and HV cathode (bottom) of the LAr-TPC while maintaining their outer surfaces at the average PMT photocathode potential.

The fused silica anode window has a cylindrical rim extending downward to form the diving bell holding the 1 cm thick gas layer of the LAr-TPC. The electron drift system consists of the ITO cathode and anode planes, a field cage, and a grid that separates the drift and electron extraction regions. A high voltage is applied between the cathode and grid to produce a vertical electric field to drift the ionization electrons upward. Outside the cylindrical wall, copper rings at graded potentials make the drift field uniform throughout the active volume. An independently adjustable potential between the grid and anode creates the fields to extract the electrons into the gas and accelerate them to create the secondary scintillation signal.

In order to build the G2 detector, however, there are still a few important points to assess. The amount of material must be as small as possible and it must have the lowest feasible radioactivity. The stainless steel for the cryostat vessel has already been identified with an acceptable radioactivity below 1 mBq/kg for U and Th. The main concerns come from the PMTs, since at present they have a neutron yield 6 times larger than the desired limit. The solution is within reach (see Section 6.1); however, further tests are still required.

The second important item to be tackled for the G2 scale-up is the production of UAr. As mentioned in the previous section, Princeton DarkSide group demonstrated in 2007 the extraction of low radioactivity argon from underground sources of gas [25]. The actual extraction rate is 0.5 kg/day, which was largely sufficient for the DarkSide-50 detector, but the goal for the G2 phase is to reach a production rate of about 50 kg/day. This does not represent a major problem (see Section 6.2) but some further developments on the distillation column for final separation between N and UAr are needed.

A last important point related to the TPC is the choice of the electric field strength. Typically LAr TPC applies a field of about 1 kV/cm which is a compromise between a high drift velocity (about 2 mm/μs) and technical difficulties related to the feedthroughs for very high voltages. However, the recent measurements of SCENE [28] have a crucial impact on the choice of the electric field for DarkSide-G2, since they observed a significant dependence on the drift field of liquid argon scintillation from nuclear recoils of energies in the range of interest for dark matter searches. The SCENE measurement suggests that a lower drift field is important to retain the best nuclear recoil light yield in a TPC. We are already operating DarkSide-50 at a much lower drift field than our prototype studies, and it is likely that the optimum drift field for DarkSide-G2 will be in the range 100–200 V/cm. This choice will have important implications on the DarkSide program. On the one hand, the scale-up of the detector will be easier, relaxing the constraint coming from the HV. On the other hand, the drift velocity will be reduced to less than 1 mm/μs with a drift time of the order of 1-2 ms. This means that the requirements on the target purity from electronegative components become more challenging. We expect the requirement for the electron drift lifetime in DarkSide-G2 to be about 5 ms.

4. The Neutron Veto

The DarkSide-G2 liquid scintillator neutron veto (LSV), today hosting the DarkSide-50 TPC, is a 4 m stainless steel sphere filled with liquid scintillator (see Figure 2 for an internal view).

The LSV is a highly efficient active veto for neutrons and gammas, and it complements the muon veto (see Section 5) as cosmogenic veto [29]. It is equipped with 110 low-background-glass-bulb 8-inch PMTs, mounted directly on the internal surface of the supporting sphere, for a 7% photocathode coverage. To maximize the light collection, a high-efficiency Lumirror reflector [30] is used to cover internally the LSV.

The scintillator is a 1 : 1 mixture of trimethyl borate (TMB) and a solution of PPO in pseudocumene (PC). Neutron capture on boron, producing ’s of energy 1.47 MeV or larger, is the dominant process in the liquid, due to the large thermal neutron capture cross section on B and its natural abundance of 20%. The fact that ’s are very short range particles is a critical point in order to have an efficient neutron detection without requiring very large veto volumes. This would not be the case for vetoes based on other dopants such as Gd that rely on detection of the -rays emitted in the neutron capture process.

The energy deposition in the scintillator due to a neutron capture on B is at least 60  [31], which results in a high detection efficiency. This, together with the short neutron capture time, makes it possible to operate the veto with high event rate, allowing for a direct immersion of the PMTs in the scintillator without any additional inert buffer layer.

Starting from a scintillator light yield of 12 photons/ and typical quantum efficiency (QE) of about 35% for the PMTs, a light yield of 0.5 PE/ was obtained: the resulting signal of 30 PE for a neutron capture is more than adequate to ensure very efficient neutron detection. Last but not least, faster neutrons can also be tagged, exploiting the elastic scattering of neutrons on protons [32].

5. The Muon Veto

The muon and neutron vetoes were conceived in the DarkSide-50 project in order to host the G2 upgrade without any major modification. This represents an important asset for DarkSide-G2 not only in terms of cost but also in terms of detector and BG understanding.

The muon veto is the former counting test facility (CTF) [33, 34] of the Borexino experiment [35]. It is a Cherenkov detector 10 m high with a diameter of 11 m, instrumented with 80 8-inch PMTs. It is used to identify energetic muons (and charged daughter particles) with an efficiency larger than 99% as well as acting as passive shielding for neutrons. To enhance the light collection, a reflector made of a Tyvek-Polyethylene-Tyvek sandwich, originally developed for the Daya-Bay reactor neutrino experiment, covers the inner surface of the tank and the external surface of the neutron veto.

An internal view of the CTF muon veto can be seen in Figure 3.

6. Required Improvements for the Multiton Phase

The DarkSide-50 experiment paved the way for the G2 upgrade: no modifications are needed for the muon and neutron vetoes and the TPC is almost just a scale-up by a factor of 100.

Two points need further development, as mentioned in the previous section, namely, the photosensors and the UAr extraction.

6.1. Photosensors

The baseline for the LAr-TPC PMTs of DarkSide-G2 is the 3-inch ultra-low background Hamamatsu R11065-G2, which uses the Bialkali-LT photocathode developed by Hamamatsu Photonics under contract from INFN Napoli and Princeton University. This photocathode operates down to LAr temperature with high quantum efficiency, overcoming the limitations of standard Bialkali photocathodes which exhibit poor performance at cryogenic temperatures. Thanks to the continuing R&D on photocathodes by Hamamatsu, in the latest models of the family, the average peak QE has risen to 37% at 400 nm. The R11065 family of PMTs has been very successful in enabling the achievement of high photoelectron yields (9 PE/ in DarkSide-10 [23]). Nonetheless, a major concern for the G2 upgrade comes from the radiopurity: the very best of the family, the R11065-20, has a neutron yield of 0.6 n/(unit × yr), whereas our goal for the R11065-G2 is 0.1 n/(unit × yr).

This goal is within reach thanks to the identification of the leading source of radioactivity in the R11065-20 PMTs, the ceramic feedthrough plate: we measured by GDMS a localized contamination of 3 mBq/unit U and 1 mBq/unit Th, clustered in the ceramic feedthrough plate.

We are pursuing two routes to resolve this problem: Hamamatsu has proposed and tested a sapphire stem in the R11065-30 obtaining a reduction in background of a factor of 5, close to the requirement of DarkSide-G2. In addition, the DarkSide collaboration has identified 99.999% ultrahigh purity alumina, whose radiopurity will allow us to reach the goal of 0.1 n/(unit × yr) and is completing R&D towards its use in ultraradioclean feedthroughs.

6.2. Underground Argon Distillation

To extract low radioactivity underground argon, a large vacuum-pressure swing adsorption (VPSA) plant was installed in 2009 at Kinder Morgan Doe Canyon CO facility in southwestern Colorado [36]. This accepts feed CO gas with 600 ppm of Ar and produces an output stream of 4% Ar in a He and N mixture. To date the VPSA plant has extracted more than 100 kg of UAr and it continues to extract it at a rate of about 0.5 kg/day.

The UAr collected in Colorado is shipped to Fermilab for further purification, using a complex purification system composed of many units, whose most important unit is a cryogenic distillation column [37]. The final obtained UAr has a contamination of lower than 0.65% compared to that in AAr [25]. At this level the DarkSide-G2 experiment will be able to operate with a very limited (<5%) fraction of events in pile-up.

The goal for DarkSide-G2 is to reach a production of 50 kg/day: to meet the goal the DarkSide Collaboration is teaming with Kinder Morgan and Air Products. Air Products will make provisions to produce for the DarkSide-G2 collaboration a stream of N/UAr, originating from the tail gas of their He extraction plant, which can be treated with a cryogenic distillation column to produce detector quality UAr at the desired rate. Final separation of N from UAr will be performed directly at the Kinder Morgan Doe Canyon facility in Cortez by a new cryogenic distillation column based on the successful design of the unit currently operating at FNAL (the present distillation column at Fermilab has demonstrated the ability to separate a 40–60 Ar-N mix at a rate of 20 kg/day).

7. Sensitivity

In order to observe a signal rate of the order of 1 event per ton per year (assuming a cross section of 10 cm), an exceptional background reduction is needed.

The sources of background are giving an electron recoil misidentified as a nuclear recoil and cosmogenic or radiogenic neutrons that produce a nuclear recoil which can not be distinguished from a WIMP one. The strategy for an efficient background reduction relies therefore on extreme radiopurity of materials, an efficient nuclear and electron recoil discrimination, and the active external volumes to veto and suppress the neutrons reaching the TPC.

The background due to the cosmogenic neutrons can be completely eliminated using the neutron and muon vetoes. Details of the simulation studies can be found in [38], where a lifetime of 36 years was simulated and no events were found reaching the TPC active volume without triggering at least one of the two veto detectors.

The main source of radiogenic neutrons (mainly from reactions) is the radioactivity in the PMTs and in the cryostat. Cross sections for reactions result in one in every 10–10-decays producing a low-energy neutron [39].

Radioactive daughters of Rn plate out on surfaces and are the major contributors to surface activity. The -decays on the inner surface of the detector are particularly dangerous for another reason: about half the time, the goes deeper into the surface, and the daughter nucleus recoils into the active volume, mimicking a WIMP recoil.

Hence, the surface contamination in DarkSide-G2 will be significantly reduced by carrying out precision cleaning and assembly in the two Rn-suppressed clean room appositely conceived, with a Rn contamination of less than 5 mBq/m.

Recoils from the remaining surface activity can be further suppressed by position reconstruction and a fiducial volume cut.

After the fiducial volume cut, the energy selection window of 55–240 keV, and the rejection of events with multiple energy depositions, we obtain less than 0.1 events from radiogenic neutrons for an exposure of 18 tons year.

Concerning the background, the main source is the in the sensitive volume, from which we expect events in the dark matter energy window at the upper limit of activity for an 18-ton-year exposure. In order to achieve less than 0.1 background event in the WIMP search, the requisite reduction factor is between 55 and 240 keV. Pulse shape discrimination (PSD) is the major attack on this background. Preliminary data from DarkSide-50, with the same threshold, indicate that the experiment will remain background-free for the full exposure of DarkSide-G2 and with in UAr at the measured upper limit concentration [40]. Further data from DarkSide-50 are forthcoming and promise to directly test the PSD capability in LAr at the statistical level needed for DarkSide-G2.

A summary of the expected BG rate can be found in Table 1.

Based on our calculated backgrounds, the projected (90% C.L.) sensitivity is 2 × 10 cm for 100 GeV WIMPs, as shown in Figure 4. We note that the analysis on which we base this estimate of the sensitivity uses conservative assumptions on background rejection (DarkSide-50 data with minimal cuts and noise levels achieved at the beginning of the run, no use of / or of fiducialization yet). Possible improvements in background rejection may result in lower threshold and improved sensitivity.

8. Conclusions

WIMPs are a leading candidate to explain the nature of dark matter. They could be observed detecting low-energy nuclear recoils, and among the existing techniques, noble liquid TPCs are today the most promising technology.

The DarkSide program aims at the WIMPs detection using a two-phase argon TPC. The first demonstration phase of DarkSide-10 is now over and DarkSide-50 is running preliminary calibrations. The measurements taken with the two active vetoes, the borated scintillator and the water Cherenkov detectors, will allow better constraints on the background rejection efficiency of DarkSide-G2.

Conflict of Interests

The authors declare that there is no conflict of interests regarding the publication of this paper.