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Amy Roberts
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chapter1.tex

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@@ -94,8 +94,9 @@ \subsection{Neutrino Oscillation}
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where $c_{ij} = \cos{\theta_{ij}}$ and $s_{ij} = \sin{\theta_{ij}}$, $\delta$ is the Dirac CP-violating phase, and the Majorana CP-violating phases $\alpha_{ij}$ are only relevant if the neutrino is a Majorana fermion as discussed in {\sect}~\ref{sec:mass}. Several generations of long-baseline neutrino experiments using solar, atmospheric, and reactor neutrinos have impressively constrained the mixing parameters and mass differences. A summary of the parameters is given in {\tab}~\ref{tab:neutrinoParameters}.
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\begin{table*}
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\begin{table}
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\centering
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\caption[\uppercase{Neutrino oscillation parameters}]{\uppercase{Neutrino oscillation parameters} \label{tab:neutrinoParameters}}
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\begin{tabular}{lll}\toprule
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Parameter & Best Fit ($\pm$ 1$\sigma$) & 3$\sigma$ \\
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\midrule
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$\sin^2{\theta_{13}}$ & $0.025^{+0.007}_{-0.008}$ & 0.005 - 0.050 \\
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\bottomrule
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\end{tabular}
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\caption[Neutrino oscillation parameters.]{Three-neutrino oscillation parameters, determined by a global fit to relevant neutrino data. The mixing angles $\sin^2{\theta_{12}}$ and $\sin^2{\theta_{13}}$ were determined using reactor $\overline{\nu}_e$ spectra calculated in {\refref}~\citep{reactorNeutrinoSpectrum}. Note that while it is known that $m_1 < m_2$, the sign of ${\Delta}m^2_{31}$ is not known. The table is from {\refref}~\citep{PDG}.}
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\label{tab:neutrinoParameters}
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\end{table*}
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\begin{flushleft}
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\small $\quad\,$NOTE:
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Three-neutrino oscillation parameters, determined by a global fit to relevant neutrino data. The mixing angles $\sin^2{\theta_{12}}$ and $\sin^2{\theta_{13}}$ were determined using reactor $\overline{\nu}_e$ spectra calculated in {\refref}~\citep{reactorNeutrinoSpectrum}. Note that while it is known that $m_1 < m_2$, the sign of ${\Delta}m^2_{31}$ is not known. The table is from {\refref}~\citep{PDG}.
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\end{flushleft}
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\end{table}
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It is significant that the absolute values of the mass differences are measured; the ordering of the mass eigenstates is unknown. Three different ``mass heierarchies'' are possible: the normal heierarchy (NH) where $m_1 < m_2 < m_3$, the inverted heierarchy (IH) where $m_3 < m_1 < m_2$, and the quasi-degenerate heierarchy (QD) where the mass scale is close to the current limit so that $m_1 \approx m_2 \approx m_3$. A diagram of the three mass heierarchies is shown in {\fig}~\ref{fig:massScale}.
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\begin{figure}[htp]
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\centering

chapter2.tex

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\end{figure}
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The single-particle energy levels were adjusted in the QRPA calculation \citep{SuhonenEnergyAdjust} to provide better agreement with the data. These changes reduced the QRPA calculation of \NME by approximately a factor of two, bringing it into agreement with the shell-model calculation of \NME. This reduction in the spread of calculated \NME is particularly valuable to reducing the uncertainty of mass limits or estimates from \zvbb searches.
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\section{Nucleon-nucleon correlations and the impact they have on NME}
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\section{Nucleon-Nucleon Correlations and the Impact they have on \NME}
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\label{sec:correlations}
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\begin{comment}
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\begin{itemize}

chapter5.tex

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% excitation energy, not timing
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% don't show past big peak
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\section{Fitting the \zp ground state}
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\section{Fitting the \zp Ground State}
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\label{sec:DWBA}
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\begin{comment}
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DWBA calculation

figures/mass_scale.eps

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