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\section{TIB and TID layout}
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TIB and TID are very compact objects with high readout granularity;
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channel and module densities are three to four times larger than in
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the other SST subsystems (Table~\ref{table:Density}).
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The TIB and TID layout has been designed keeping in mind their complexity:
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the mechanical structures have been simplified as much as possible,
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while the routing of the services (cooling, readout, controls) has been
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adapted to the very high channel density making use of all accessible
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paths inside the detector.
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%matching the
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%following features: simple mechanical structure; easy routing of the
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%large number of service connections (cooling, readout, controls); easy
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%component mounting in the case of the TIB non-planar (cylindrical)
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%geometry; optimization the theta (and phi?) for the TID.
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The TIB is structured in four concentric layers. Each layer is
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split along the vertical plane at $z=0$ into two almost identical half-layers. Each
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half-layer is further split along the horizontal at $y=0$ into two semi-cylindrical
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structures, also referred to as ``shells''.
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Both spilts in $\phi$ and $z$ are done ins such a way that the sensor surfaces always
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overlap leaving no dead area when measuring high momentum charged particles coming
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from the interaction region.
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The shell structure is a
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semi-cylindrical carbon fiber assembly strenghten by two circular
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flanges at both ends. To decrease their density and to provide a better accessibility
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during integration, modules and services are hold
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either on the external and the internal surfaces. The services are laid down on
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the surface and run parallel to the $z$ axis.
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% on the surface toward the end (i.e. in the
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%direction along which $|z|$ increases).
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The modules and the related
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services that sit on the same side of a shell at the same $\phi$
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coordinate constitute a \textit{string}.
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The TID is split into six disks (three per each side of
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TIB). The disk is made up by three sub-disks called "rings" since each
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ring holds modules at the same radius. The ring structure consists of
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a mechanical support made of an annular carbon fiber honeycomb.
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Also in this case modules and services are located on both sides
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of the mechanical structure.
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%to decrease the density
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%and therefore providing a better accessibility during ring integration
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%and disk assembly.
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The TIB/TID system is physically
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divided into two separated structures, one located in the
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$z > 0$ region and one located in the $z < 0$ region and known as
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TIB/TID+ and TIB/TID- respectively. Each TID+ and TID- is obtained by
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inserting, positioning and fixing the three disks into a carbon fiber
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cylinder called {\it Service Cylinder}. Each Service Cylinder has
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several holes at the disk positions; this allow the
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connection of the power lines and to route out all the fibers of the
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disk. The Service Cylinder is also used to connect mechanically TIB+/-
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and TID+/-, and to route out the services of the TIB and of the TID.
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The cooling in the TIB/TID is distributed via aluminum pipe circuits
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that are bent into loops and soldered to inlet/outlet manifolds at
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the flange for the TIB, and at the ring outer edge for the TID.
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The thermal connection between pipes and sensor modules is made with aluminum ledges which are
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precisely glued on the carbon fiber support structure and in good thermal contact with the pipes.
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On each ledge there are two threaded M1 holes onto which the modules are tightened.
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Precisely drilled slots, coaxial with the threaded holes, are the reference point where
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inserts are stick in providing mechanical reference for modules. An example for a TIB module
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is shown in Fig.~\ref{fig:module_cooling}).
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The TIB and TID substructures, 16 shells and 18 rings, are relatively
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large-sized objects: one shell holds 135 to 216 modules, one ring holds 40 to 48 modules.
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Some other relevant specifications of the TIB and TID substructures are
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summarized in Table~\ref{table:layers}.
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A finished half of the TIB and a TID Disk are shown in
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Fig.~\ref{fig:tib} and~\ref{fig:tid}.
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%The pictures allow the sub-structures to be recognized.
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\begin{figure}[!htb]
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\begin{center}
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\includegraphics[width=0.45\textwidth]{Figs/shell.pdf}
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% \includegraphics[height=0.5\textwidth]{Figs/TIB-assembled.pdf}
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\hskip 1cm
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\includegraphics[width=0.45\textwidth]{Figs/TIB_barrel.png}
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\end{center}
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\caption{A layer 3 TIB shell (left panel) and half of TIB assembled (right panel).}
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\label{fig:tib} % Give a unique label
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\end{figure}
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\begin{figure}[!htb]
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\begin{center}
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\includegraphics[height=0.35\textwidth]{Figs/ring.pdf}
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% \includegraphics[height=0.5\textwidth]{Figs/TIB-assembled.pdf}
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\hskip 3cm
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\includegraphics[height=0.35\textwidth]{Figs/TID-disk.pdf}
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\end{center}
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\caption{A TID ring 1 assembled (left panel) and one complete TID disk (right panel).}
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\label{fig:tid} % Give a unique label
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\end{figure}
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\begin{table}[!htb]
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\begin{center}
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%\begin{tabular}{|l||c|c|c|c|c|c|c|}
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\caption[smallcaption]{Total number of modules, strips (or electronic readout channels), detector volume and
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channel density for the different tracker subsystems. Service access area is also defined
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for barrel geometry detectors (TIB and TOB) as their flange area. The channel density in this
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area gives also an idea of the complexity of the detector integration.}
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\label{table:Density}
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\begin{tabular}{|l|ccccccc|}
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\hline
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& & & & Module & Channel & Service & Service \\
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& \# of &\# of & Volume & Density & Density & Area & Density \\
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& modules & channels & [m$^3$]& [$\times 10^3$ m$^{-3}$] & [$\times 10^6$ ch m$^{-3}$] & [m$^2$] & [$\times 10^6$ ch m$^{-2}$]\\
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%\hline
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\hline
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TIB & 2724 & 1 787 904 & 0.82 & 3.2 & 2.2 & 1.6 & 1.11\\
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%\hline
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TID & 816 & 565 248 & 0.5 & 1.6 & 1.1 & & \\
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%\hline
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TOB & 5208 & 3 096 576 & 5.9 & 0.89 & 0.52 & 5.7 & 0.54\\
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%\hline
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TEC & 6400 & 3 866 624 & 11 & 0.58 & 0.35 & & \\
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\hline
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\end{tabular}
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\end{center}
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\end{table}
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\begin{table}[!htb]
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\begin{center}
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\caption[smallcaption]{Details on the different layers/rings of the TIB/TID. }
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\label{table:layers}
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%\begin{tabular}{|l||c|c|c|c|c|c|c|}
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\begin{tabular}{|l|ccccccc|}
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\hline
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Layer & \# mechanical & \# cooling & DS/SS & \# of modules & \# of channels & \# Control & \# Mother \\
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& structures & circuits & layer & total & per module & Rings & Cables \\
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\hline
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% \hline
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TIB L1 & 4 shells & 12 & DS & 672 & 768 & 24 & 112 \\
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TIB L2 & 4 shells & 16 & DS & 864 & 768 & 32 & 144 \\
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TIB L3 & 4 shells & 12 & SS & 540 & 512 & 12 & 180 \\
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TIB L4 & 4 shells & 16 & SS & 648 & 512 & 16 & 216 \\
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TID R1 & 6 rings & 24 & DS & 288 & 768 & 12 & 48 \\
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TID R2 & 6 rings & 24 & DS & 288 & 768 & 12 & 48 \\
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TID R3 & 6 rings & 24 & SS & 240 & 512 & 12 & 48 \\
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\hline
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\end{tabular}
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\end{center}
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\end{table}
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%\subsection{Mechanical Structures}
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%A TIB shell is shown on Fig.~\ref{fig:tibshell}).
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%Each cooling loop hosts three modules placed in a straight row, which is called a
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%A string of modules is connected to the same CCU, thus forming a control branch.
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%\begin{figure}
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%\centering
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%\includegraphics[width=\textwidth]{ }
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%\caption{TIB shell: are visible the internal and external parts, the cooling pipes and the string}
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%\label{fig:tibshell}
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%\end{figure}
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%\begin{figure}
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%\centering
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%\includegraphics[width=\textwidth]{ }
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%\caption{TID ring }
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%\label{fig:tidring}
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%\end{figure}
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\begin{figure}
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\centering
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\includegraphics[width=0.6\textwidth]{Figs/module_cooling.pdf}
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\caption{Module Cooling.
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\textbf{Upper picture:} part of a cooling loop with six ledges to hold three modules and three
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smaller ledges to hold Analog Opto-Hybrids (adjacent cooling circuits are partially visible).
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\textbf{Lower picture:} a detail of a cooling loop. The cooling fluid direction
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is evidenced with blue arrows, and the precision holes for module insertion are circled in
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red. A module mounted on the nearby position is also visible.}
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\label{fig:module_cooling}
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\end{figure}
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