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\title{\textbf{Measurement of invisible products from Muon Decay}\\ % Title
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Particle physics laboratory report} % Subtitle
\author{\textsc{Eleonora Diociaiuti\\Cristina Martellini\\Giulio Settanta\\Valentina Vecchio} % Author
\bigskip
\\{\textit{Universit\'a degli Studi Roma Tre}}} % Institution
\date{Febraury 8, 2016} % Date
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\section*{Abstract}
%Questa \'e la storia di 4 quattro ragazzi, un sogno nel cassetto e una banana nella borsa. Ogni venerd\'i e luned\'i mattina, nella savana (Roma Sud), Giulio, Cristina Eleonora e Valentina si svegliano e sanno che dovranno correre, per non morire di stenti su Viale Marconi. Ogni venerd\'i e luned\'i mattina, nella savana (che \'e sempre una metafora pe' Roma Sud, giuro), Giulio, Cristina, Eleonora e Valentina corrono e arrivano, in ritardo, in un laboratorio con una finestra. Ogni venerd\'i e luned\'i mattina, a Roma Sud (che prima chiamavo savana pe' fa' la simpatica), la finestra non si sveglia (\'e pure sempre 'na finestra insomma) ma sa che sar\'a aperta dalla donna delle pulizie, perch\'e dice che l'aria fa bene agli strumenti (su questo ultimo punto la perplessit\'a ancora \'e tanta). Ogni mattina Stefano Maria si sveglia e con lui il suo gattino. Ogni mattina Stefano Maria abbandona la sua casa (che non s'\'e capito se sta a Roma Sud o Roma Nord) e spera che la gang dei micetti scapestrati amici del suo Pallino non si diano alla pazza gioia con i suoi affetti. Ogni mattina, quando te svegli, non importa se stai a Roma Sud o a Balduina, i muoni ti attraverseranno senza razzismo, i muoni ti amano pure se c'hai il risvoltino.\\
Muons compose the penetrating component of Cosmic Rays. At sea level, they constitute the largest part of Secondary Cosmic Rays, giving an average flux of $\approx 100 ~m^{-2}s^{-1}sr^{-1}$.
The aim of our experiment is to estimate, from muon decay, the mean lifetime and the mass of invisible products.
Our experimental setup includes four detectors: three of them are plastic scintillators and compose the trigger system, while the last one is a liquid scintillator which measures the particles energy. All these scintillators are read by photomultipliers. Trigger and pulse thresholds are computed by logical and temporal modules in a VME crate. The Data Acquisition System has been verified to work properly. It is composed of two fADCs modules, one I/O Register, one Motorola computer and a Farm.
The liquid scintillator has been calibrated in energy using both passing muons and $^{60}CO$ gamma source. Thanks to the charge-energy conversion factor we estimated electron energy spectrum.
In particular we selected a sample of decay events by estimating muon mean lifetime $\tau_{\mu}=2.19\pm 0.34~ \mu s$; then we finally extrapolated an upper limit for invisible products mass $m_{\nu} < 5.99 \pm 0.73~MeV/c^2$.
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\tableofcontents
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\input{introduzione.tex}
\addcontentsline{toc}{section}{Introduction}
\newpage
\section{Starting from the Theory}
\input{Cosmicrays.tex}
\input{Muon.tex}%PER GIULIO: dichiara nel tuo file la section sull'introduzione teorica che io poi mi attacco col la subsection del muone!
%PER VALENTINA: e invece ATTACCHETE A STO RAGGIO COSMICO
\input{LS_intro.tex}
\input{Org_Scint.tex}
\input{Photomultipliers.tex}
\input{Trigger.tex}
\input{DAQ_hardware}
\input{DAQ-FARM.tex}
\input{calibration}
\newpage
\section{Data Analysis}
\input{Co60_analisi.tex}
\newpage
\input{Calibration1.tex}
\newpage
\input{Lifetime.tex}
\newpage
\input{Numass.tex}
\newpage
\section*{Conclusions}
\input{conclusions.tex}
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\end{document}