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1\section{MEMPHYS detector} 
2\label{sec:MEMPHYSdet}
3\subsection{General considerations}
4%
5The 20 year long successful operation of the
6Super-Kamiokande detector has clearly
7demonstrated the capabilities and limitations of large water \v{C}erenkov
8detectors\,:
9\begin{itemize}
10\item This technique is by far the cheapest
11and the most stable to instrument a very large detector
12mass, as price is dominated by the photodetectors and their associated
13electronics (this price growing like the outer surface of the detector),
14while the active mass, made of water, is essentially free except for the
15purification system
16\item These detectors are mainly limited in size by the finite attenuation
17length of \v{C}erenkov light, found to be 80 meters at $\lambda = 400$~nm
18in Super-Kamiokande, and by the pressure of water on the photomultipliers at
19the bottom of the tank, which gives a practical limit of 80~m in height.
20At large depths, the maximal size of underground cavities actually limits
21relevant dimensions to about 70~m.
22\item The detection principle consists in measuring \v{C}erenkov rings produced
23by charged particles going faster than light in water. This has several
24consequences\,:
25\begin{enumerate}
26\item neutral particles and charged particles
27below \v{C}erenkov threshold are undetectable, so that some energy may
28be missing
29\item complicated topologies are difficult to handle, and in practice only
30events with less than 3 to 5 rings are efficiently reconstructed
31\item ring topology, based on their degree of fuzziness, allows to separate
32between electromagnetic (e, $\gamma$) rings and ($\mu$, $\pi$) rings
33\item the threshold in particle energy depends mainly on photocathode
34coverage and also on water purity (due to radioactive backgrounds, such as
35radon). Super-Kamiokande has achieved an energy threshold of 5 MeV with
3640\% cathode coverage
37\item due to points 1 and 2, water \v{C}erenkov detectors are not suited to
38measure high energy neutrino interactions, as more rings and more undetectable
39particles are produced. A further limitation comes from the confusion between
40single electron or gamma rings and high energy $\pi^0$'s giving 2 overlapping
41rings. In practice water \v{C}erenkov's stay excellent neutrino detectors
42for energies below 1 (may be 2) GeV, when interactions are mostly quasi-elastic
43and the 2 rings from $\pi^0$ well separated.
44\end{enumerate}
45\end{itemize}
46%%%%%%%%%%%%%%%%%%%%%%%%%%% 
47\subsection{Detector design}
48%%%%%%%%%%%%%%%%%%%%%%%%%%%%
49Three detector designs are being carried out worldwide,
50namely Hyper-Kamiokande \cite{uno} in Japan,
51UNO \cite{hyperk} in the USA  and the present project MEMPHYS in Europe (Fig.~\ref{fig:Phys-MEMPHYSdetector}) \cite{deBellefon:2006vq}.
52All of them are rather mild extrapolations of Super-Kamiokande, and rely on the
53expertise acquired after 20 years of operation of this detector.
54Their main characteristics are summarized in table~\ref{WC:tab-1}.
55%
56%
57\begin{figure}
58\centering
59\includegraphics[width=0.45\textwidth]{MEMPHYS.eps}
60\caption{\label{fig:Phys-MEMPHYSdetector}Sketch of the MEMPHYS detector under the Fréjus mountain (Europe).}   
61\end{figure}
62%
63\begin{sidewaystable}
64\centering
65%
66\begin{tabular}{rccc}
67\hline\noalign{\smallskip}
68 Parameters                  &        \textbf{UNO} (USA)            &   
69\textbf{HyperK} (Japan)          &      \textbf{MEMPHYS} (Europe)\\
70\noalign{\smallskip}\hline\noalign{\smallskip}
71\multicolumn{4}{l}{\textbf{Underground laboratory}}  \\ 
72       location   &   Henderson / Homestake      &   Tochibora    & Fr\'ejus \\
73                depth (m.e.w.)  &    4500/4800                 &   
741500                  &        4800  \\
75Long Base Line (km)   & $1480\div2760$ / $1280\div2530$ & 290    &   130 \\
76                       & FermiLab$\div$BNL       & JAERI         &   CERN \\
77\noalign{\smallskip}\hline\noalign{\smallskip}
78\multicolumn{4}{l}{\textbf{Detector dimensions}}          \\
79type              & 3 cubic compartments   & 2 twin tunnels  & $3\div5$
80shafts\\
81                  &                        & 5 compartments  &           \\
82dimensions            & $3\times (60\times60\times60)\mathrm{m}^3$ 
83                                                                        &
84$2\times 5 \times (\phi=43\mathrm{m} \times L=50\mathrm{m})$       &
85$(3\div5)\times(\phi=65\mathrm{m} \times H=65\mathrm{m}) $ \\   
86fiducial mass (kt)& 440                          &       550                 
87& $440\div730$\\
88\noalign{\smallskip}\hline\noalign{\smallskip}
89\multicolumn{4}{l}{\textbf{Photodetectors}}          \\
90           type   & 20" PMT              & 13" H(A)PD           & 12" PMT
91\\
92    number (internal detector)     & 57,000      & 20,000 per compartment
93                                                & 81,000 per shaft (Inner Vol.) \\
94 surface coverage & 40\% (1/3) \& 10\% (2/3) & 40\%  & 30\%\
95                                           
96\\
97\noalign{\smallskip}\hline
98\end{tabular}
99%
100\caption{\label{WC:tab-1}
101\it Some basic parameters of the three Water \v{C}erenkov
102detector baseline designs. An option is to fill one tank of MEMPHYS with Gadolinium (0.2\% Gd Cl$_3$).}
103\end{sidewaystable}
104
105These 3 projects aim at a fiducial mass around half a megaton, taking into
106account the necessity to have a veto volume on the edge of the detector, 1 to 2
107meters thick, plus a minimal distance of about 2 meters between photodetectors
108and interaction vertices, leaving some space for ring development.
109The main differences between the 3 projects lie in the geometry
110of the cavities (tunnel shape for Hyper-Kamiokande, shafts for MEMPHYS,
111intermediate with 3 cubic modules for UNO), and the photocathode coverage,
112similar to Super-Kamiokande for Hyper-Kamiokande
113and MEMPHYS, while UNO keeps this
114coverage on only 1 cubic detector, while the 2 others have only 10\% coverage
115for cost reasons. Another important parameter is the rock overburden, similar
116for UNO and MEMPHYS (4800~mwe), but smaller for Hyper-Kamiokande (1500~mwe),
117which might be a limiting factor for low energy physics, due to spallation
118products and fast neutrons produced by cosmic muons, more
119abundant by 2 orders of magnitude (see figure~\ref{muonflux}).
120
121\begin{figure}[htb]
122\centerline{\epsfig{figure=muonflux_red.eps,width=8cm}}
123\caption{\it Muon flux as a function of overburden.
124The Frejus site is indicated by "LSM".}
125\label{muonflux}
126\end{figure}
127
128
129The basic unit for MEMPHYS consists of a cylindrical detector module 65~meters
130in diameter and 65~meters high, which can be housed
131in a cylindrical cavity with 70~meter diameter and 80 meter height, as proven
132by the prestudy. This corresponds to a water mass of 215 kilotons, that is
133only 4 times the Super-Kamiokande detector.
134Conservatively substracting 2~m for the
135outer veto plus 2~m for the fiducial volume, this leaves us with a fiducial
136mass of 146 kilotons per module. The baseline design uses 3 modules, giving
137a total fiducial mass of 440 kilotons, like UNO, corresponding to factor
13820 increase over Super-Kamiokande (4 modules would give 580
139kiloton fiducial mass). The modular aspect is actually mandatory for
140maintenance reasons, so that at least 2 of the 3 modules would be active
141at any time, giving 100\% duty cycle for supernova explosions. Furthermore,
142it would offer the possibility to add Gadolinium in one of the modules, which
143has been advocated to improve diffuse supernova neutrino detection.
144We estimate an overall construction time of less than 10 years, and of course
145the first module could start physics during the completion of the two other
146modules.
147%%%%%%%%%%%%%%%%%%%%%%%%%%%
148\subsection{Photodetection}
149%%%%%%%%%%%%%%%%%%%%%%%%%%%
150The baseline photodetector choice is photomultipliers (PMT) as they have
151successfuly equipped the previous generation of large water \v{C}erenkov
152detectors and many other types of presently running detectors in HEP. The PMT
153density should be chosen to allow excellent sensitivity to a broad range
154of nucleon decays and neutrino physics while keeping the instrumentation costs
155under control.
156
157Our goal for MEMPHYS is to reach in the whole detector
158the same energy threshold as Super-Kamiokande,
159that is 5 MeV, important for solar neutrino studies, for the proton decay into
160$K^+ \nu$ using the 6~MeV tag from $^{15}$N desexcitation, and also very useful
161for SN explosions, since the measurement of the $\nu_{\mu}$ and $\nu_{\tau}$
162fluxes could be achieved using the neutral current excitation of Oxygen.
163
164Our first approach was to consider 20" Hamamatsu tubes as used by
165Super-Kamiokande, but the cost for 40\% coverage becomes prohibitive, as these
166tubes are manually blown by specially trained people, which makes them very
167expensive. Following a suggestion presented at the NNN05 conference by Photonis
168company, we have considered the possibility of using instead 12" PMT's, which
169can be automatically manufactured and have better characteristics
170compared to 20" tubes\,: quantum efficiency (24\% vs 20\%), collection
171efficiency (70\% vs 60\%), risetime (5~ns vs 10~ns), jitter (2.4~ns vs 5.5~ns).
172Based on these numbers, 30\% coverage with 12" PMT's would give the same number
173of photoelectrons per MeV as a 40\% coverage with 20" tubes. Taking into
174account the ratio of photocathodes (615~cm$^2$ vs 1660~cm$^2$), this implies
175that going from 20" tubes to twice as many 12" tubes will give the same
176detected light, with a bonus on time resolution and on pixel locations. If the dark
177current of better photocathodes does not increase dramatically the trigger rate,
178we can expect MEMPHYS performances be at least as good as Super-Kamiokande.
179A GEANT4 based Monte Carlo is under development to quantify the effective
180gain. Pricewise, each 20" PMT costing 2500 Euros
181is replaced by 2 12" PMT's costing 800 Euros each.
182The only caveat is to make sure that the savings on PMT's are not
183cancelled by the doubling of electronic channels. An R\&D on electronics
184integration is presently underway (see Sec. \ref{sec:photo}).
185%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
186\subsection{Photomultiplier tests}
187%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
188A joint R\&D program between Photonis company and French laboratories has been
189launched to test the quality of the 12" PMTs in the foreseen conditions of
190deep water depth, and to make a realistic
191market model for the production of about 250,000 PMTs that would be necessary
192to get the 30\% geometrical coverage.
193
194In parallel, studies on new photo-sensors have been launched.
195The aim is to reduce cost, while improving production rate and performance, as
196it is essential
197to achieve the long term stability and reliability which is proven for PMTs.
198Hybrid photosensors (HPD) could be a solution\,:
199the principle has been proven by ICRR and Hamamatsu with a 5" HPD prototype.
200Successful results from tests of an 13"
201prototype operated with 12 kV are now available,
202showing a $3 \cdot 10^4$ gain, good single photon sensitivity,
2030.8 ns time resolution and a satisfactory gain and
204timing uniformity over the photo-cathode area.
205The development of HPD has also been initiated in Europe,
206in collaboration with Photonis.
207%%%%%%%%%%%%%%%%%%
208\subsection{Smart-photodetector electronics}
209\label{sec:photo}
210%%%%%%%%%%%%%%%%%%%
211The coverage of large areas (around 17,500 m$^2$ for MEMPHYS) with
212photodetectors at lowest cost implies a readout integrated electronics
213circuit (called ASIC). This makes it possible to integrate: high-speed
214discriminator on the single photoelectron (pe), the
215digitisation of the charge on 12 bits ADC to provide numerical signals
216on a large dynamical range (200~pe), the digitisation of time on 12
217bits TDC to provide time information with a precision of 1~ns, and
218channel-to-channel gain adjustment to homogenize the response of the
219photomultipliers and to thus use a common high voltage. Such an ASIC
220for readout electronics allows moreover a strong reduction of the
221costs, as well as external components (high-voltage units, cables of
222great quality...) since the electronics and the High Voltage may be
223put as close as possible to the PMTs and the generated numerical
224signals are directly usable by trigger logical units and
225the data acquisition computers (Fig.~\ref{fig:MEMPHYSPMTS}).
226%
227
228The main difficulty in associating very fast analog electronics and
229digitization on a broad dynamic range does not make it possible yet to
230integrate all these functions in only one integrated circuit, but
231certain parts were already developed separately as for example in the
232OPERA Read Out Channel \cite{Lucotte:2004mi}
233(Fig.~\ref{fig:OPERAROC}). The evolution of integrated technologies,
234in particular BiCMOS SiGe 0.35$\mu$m, now make it possible to consider
235such circuits and has triggered a new campaign of research and
236development.
237
238\begin{figure}[htb]
239 \begin{minipage}[c]{0.44\textwidth}
240\centering
241\includegraphics[width=0.85\textwidth]{ModuleArriere.eps}
242\caption{\label{fig:MEMPHYSPMTS}
243\it Sketch of a possible photosensor basic module composed of a matrix
244of $4\times4$ 12" PMTs with the electronic box containing the High
245Voltage unit and the Readout chip.}     
246\end{minipage}
247%
248 \begin{minipage}[c]{0.04\textwidth}
249~
250\end{minipage}
251%
252 \begin{minipage}[c]{0.44\textwidth}
253\centering
254\includegraphics[width=\textwidth]{electronic.eps}
255\caption{\label{fig:OPERAROC}
256\it Sketch of the existing Read Out electronics developed for the
257OPERA Target Tracker and that is intented to be extended for MEMPHYS
258by integrating the ADC and TDC.}         
259\end{minipage}
260\end{figure}
261%
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