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JR and CTY changes.
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ajsteinmetz committed Nov 2, 2024
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2 changes: 2 additions & 0 deletions 00CosmoThesis.tex
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@@ -1,5 +1,7 @@
%%%%%%%%%%%%%%%%%%%%%%%% Springer-Verlag
\documentclass[epjST]{svjour}
\voffset -0.7cm
\hoffset -0.7cm
%\usepackage{geometry}
% \geometry{
% a4paper,
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2 changes: 1 addition & 1 deletion 02z450dynamicQCD.tex
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Expand Up @@ -93,7 +93,7 @@ \subsection{Electromagnetic plasma properties of QGP}\label{chap:QCD}
%%%%%%%%%%%%%%%%%%%%%
\begin{figure}
\centering
\includegraphics[width=0.785\linewidth]{plots/kappaDEBYE.png}
\includegraphics[width=0.7\linewidth]{plots/kappaDEBYE.png}
\caption{The electromagnetic Debye mass $m_D$, solid (black) line, and the QCD dampening rate $\kappa$, dashed (red) line, as a function of temperature. \cccite{Grayson:2022asf}}
\label{fig:kappaDebye}
\end{figure}
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109 changes: 55 additions & 54 deletions 03a1neutrinoplasma.tex
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Expand Up @@ -283,26 +283,31 @@ \subsection{Neutrino properties and reactions}\label{ssec:nuproperties}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{table}
\centering
\begin{tabular}{p{0.21\textwidth}p{0.79\textwidth}}
\begin{tabular}{p{0.91\textwidth}}
%p{0.79\textwidth}}
\hline\hline
Annihilation \\
\& Production & Transition Amplitude $|M|^2$ \\
\vskip -0.1cm
Annihilation \& Production and Transition Amplitude $|M|^2$ \\[0.1cm]
\hline
$l^-+l^+\longrightarrow\nu_l+\bar{\nu}_l$&$ 32G^2_F\bigg[\left(1+2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)+\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_3\right)\left(p_2\cdot p_4\right)$
%
$+2\sin^2\theta_W\left(1+2\sin^2\theta_W\right)m^2_l\left(p_3\cdot p_4\right)\bigg]$ \\
\vskip -0.1cm
$l^-+l^+\longrightarrow\nu_l+\bar{\nu}_l$\\[0.1cm]
%&
$ 32G^2_F\left[\left(1+2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)+\,\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_3\right)\left(p_2\cdot p_4\right)+2\sin^2\theta_W\left(1+2\sin^2\theta_W\right)m^2_l\left(p_3\cdot p_4\right)\right]$ \\[0.1cm]
\hline
$l^{\prime-}+l^{\prime+}\longrightarrow\nu_l+\bar{\nu}_l$ & $32G^2_F\bigg[\left(1-2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)$
%
$+\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_3\right)\left(p_2\cdot p_4\right)$
%
$-2\sin^2\theta_W\left(1-2\sin^2\theta_W\right)m^2_{l^\prime}\left(p_3\cdot p_4\right)\bigg]$ \\
\vskip -0.1cm
$l^{\prime-}+l^{\prime+}\longrightarrow\nu_l+\bar{\nu}_l$\\
%&
$32G^2_F\left[\left(1-2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)+\,\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_3\right)\left(p_2\cdot p_4\right)-2\sin^2\theta_W\left(1-2\sin^2\theta_W\right)m^2_{l^\prime}\left(p_3\cdot p_4\right)\right]$ \\[0.1cm]
\hline
$\nu_l+\bar{\nu}_l\longrightarrow\nu_l+\bar{\nu}_l$ &
$32G^2_F\bigg[\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)\bigg]$ \\
\vskip -0.1cm
$\nu_l+\bar{\nu}_l\longrightarrow\nu_l+\bar{\nu}_l$
\hspace{1cm}%&
$32G^2_F\left[\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)\right]$ \\[0.1cm]
\hline
$\nu_{l^\prime}+\bar{\nu}_{l^\prime}\longrightarrow\nu_l+\bar{\nu}_l$ &
$32G^2_F\bigg[\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)\bigg]$ \\
\vskip -0.1cm
$\nu_{l^\prime}+\bar{\nu}_{l^\prime}\longrightarrow\nu_l+\bar{\nu}_l$
\hspace{1cm}%&
$32G^2_F\left[\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)\right]$ \\[0.1cm]
\hline\hline
\end{tabular}
\caption{The transition amplitude for different annihilation and production processes. The definition of particle number is given by $1+2\leftrightarrow3+4$, where $l,\,l^\prime=e,\,\mu,\,\tau\,(l\neq\,l^\prime)$.}
Expand All @@ -320,46 +325,42 @@ \subsection{Neutrino properties and reactions}\label{ssec:nuproperties}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{table}
\centering
\begin{tabular}{p{0.21\textwidth}p{0.79\textwidth}}
\begin{tabular}{p{0.91\textwidth}}%{p{0.15\textwidth}p{0.85\textwidth}}
\hline\hline
Elastic ($\nu_e$) \\
Scattering Process & Transition Amplitude $|M|^2$\\
\hline
$\nu_l+l^-\longrightarrow\nu_l+l^-$ &
$ 32G^2_F\bigg[
\left(1+2\sin^2\theta_W\right)^2\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right)+\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)$
%
$-2\sin^2\theta_W\left(1+2\sin^2\theta_W\right)m^2_l\left(p_1\cdot p_3\right)\bigg]$ \\
\hline
$\nu_l+l^+\longrightarrow\nu_l+l^+$ &
$ 32G^2_F\bigg[
\left(1+2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)+\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right)$
%
$-2\sin^2\theta_W\left(1+2\sin^2\theta_W\right)m^2_l\left(p_1\cdot p_3\right)\bigg]$ \\
\hline
$\nu_l+l^{\prime-}\longrightarrow\nu_l+l^{\prime-}$ &
$ 32G^2_F\bigg[
\left(1-2\sin^2\theta_W\right)^2\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right)+\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)$\hfill
%
\hspace{1cm}$+2\sin^2\theta_W\left(1-2\sin^2\theta_W\right)m^2_{l^\prime}\left(p_1\cdot p_3\right)\bigg]$ \\
\hline
$\nu_l+l^{\prime+}\longrightarrow\nu_l+l^{\prime+}$ &
$ 32G^2_F\bigg[
\left(1-2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)+\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right)$
%
$+2\sin^2\theta_W\left(1-2\sin^2\theta_W\right)m^2_{l^\prime}\left(p_1\cdot p_3\right)\bigg]$ \\
\hline
$\nu_l+\nu_l\longrightarrow\nu_l+\nu_l$ &
$\frac{1}{2!}\frac{1}{2!}\times32G^2_F\bigg[4\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right)\bigg]$ \\
\hline
$\nu_l+\bar{\nu}_l\longrightarrow\nu_l+\bar{\nu}_l$ &
$32G^2_F\bigg[4\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)\bigg]$ \\
\hline
$\nu_l+\nu_{l^\prime}\longrightarrow\nu_l+\nu_{l^\prime}$ &
$32G^2_F\bigg[\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right)\bigg]$ \\
\hline
$\nu_l+\bar{\nu}_{l^\prime}\longrightarrow\nu_l+\bar{\nu}_{l^\prime}$ &
$32G^2_F\bigg[\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)\bigg]$ \\
Elastic ($\nu_e$)
Scattering Process and Transition Amplitude $|M|^2$\\
\hline \vskip -0.1cm
$\nu_l+l^-\longrightarrow\nu_l+l^-$\\ %&
$ 32G^2_F\left[
\left(1+2\sin^2\theta_W\right)^2\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right)+\,\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)-2\sin^2\theta_W\left(1+2\sin^2\theta_W\right)m^2_l\left(p_1\cdot p_3\right)\right]$ \\[0.1cm]
\hline\vskip -0.1cm
$\nu_l+l^+\longrightarrow\nu_l+l^+$\\ %&
$ 32G^2_F\left[
\left(1+2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right) +\,\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right) -2\sin^2\theta_W\left(1+2\sin^2\theta_W\right)m^2_l\left(p_1\cdot p_3\right)\right]$ \\[0.1cm]
\hline\vskip -0.1cm
$\nu_l+l^{\prime-}\longrightarrow\nu_l+l^{\prime-}$\\ %&
$ 32G^2_F\left[
\left(1-2\sin^2\theta_W\right)^2\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right)+\,\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right) +2\sin^2\theta_W\left(1-2\sin^2\theta_W\right)m^2_{l^\prime}\left(p_1\cdot p_3\right)\right]$ \\[0.1cm]
\hline\vskip -0.1cm
$\nu_l+l^{\prime+}\longrightarrow\nu_l+l^{\prime+}$\\ %&
$ 32G^2_F\left[
\left(1-2\sin^2\theta_W\right)^2\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)+\,\left(2\sin^2\theta_W\right)^2\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right) +2\sin^2\theta_W\left(1-2\sin^2\theta_W\right)m^2_{l^\prime}\left(p_1\cdot p_3\right)\right]$ \\[0.1cm]
\hline\vskip -0.1cm
$\nu_l+\nu_l\longrightarrow\nu_l+\nu_l$
\hspace*{1cm}%&
$\frac{1}{2!}\frac{1}{2!}\times32G^2_F\left[4\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right)\right]$ \\[0.1cm]
\hline\vskip -0.1cm
$\nu_l+\bar{\nu}_l\longrightarrow\nu_l+\bar{\nu}_l$
\hspace*{1cm}%&
$32G^2_F\left[4\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)\right]$ \\[0.1cm]
\hline\vskip -0.1cm
$\nu_l+\nu_{l^\prime}\longrightarrow\nu_l+\nu_{l^\prime}$
\hspace*{1cm}%&
$32G^2_F\left[\left(p_1\cdot p_2\right)\left(p_3\cdot p_4\right)\right]$ \\[0.1cm]
\hline\vskip -0.1cm
$\nu_l+\bar{\nu}_{l^\prime}\longrightarrow\nu_l+\bar{\nu}_{l^\prime}$
\hspace*{1cm}%&
$32G^2_F\left[\left(p_1\cdot p_4\right)\left(p_2\cdot p_3\right)\right]$ \\[0.1cm]
\hline\hline
\end{tabular}
\caption{The transition amplitude for different elastic scattering processes. The definition of particle number is given by $1+2\leftrightarrow3+4$, where $l,\,l^\prime=e,\,\mu,\,\tau\,(l\neq\,l^\prime)$.}
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