
		\documentclass[12pt,fleqn]{article}
		\pagestyle{empty}
		\usepackage[latin1]{inputenc}
		\usepackage[dvips,landscape,top=1cm,nohead,nofoot]{geometry}
		\usepackage{amsmath}
		\usepackage{amsfonts}
		\usepackage{amssymb}
		\usepackage{scrtime}
		\setlength{\parindent}{0pt}
		\newcommand{\bfrac}[2]{\displaystyle\frac{#1}{#2}}
		\newcommand{\conj}[1]{\ensuremath{#1^*}}
		\begin{document}
		\section{Summary}
			\begin{flushright} \today \quad \thistime\end{flushright}
			\begin{center} model: models/TypeIItoy.model \end{center}
			Settings :
			\begin{verbatim}
			'vInfo': True
 'verbose': True
 'Gauge-Couplings': False
 'LatexOutput': True
 'Yukawas': False
 'LogFile': 'logFile.log'
 'ExportFile': 'BetaFunction.py'
 'PickleFile': 'RGEsOutput.pickle'
 'vDebug': False
 'Only': {}
 'LogLevel': 'Critical'
 'All-Contributions': True
 'interactivedb': False
 'ToM': False
 'FermionMass': False
 'Settings': ''
 'Trilinear': False
 'Weyl': True
 'Model': 'models/TypeIItoy.model'
 'Pickle': True
 'ToMF': 'RGEsOutput.txt'
 'VerboseLevel': ''
 'Quartic-Couplings': False
 'Skip': ['']
 'vCritical': True
 'Results': '/Users/florian/Documents/work/Projects/Pyrate/git/pyrate/results'
 'Two-Loop': True
 'Export': True
 'ScalarMass': False
 'LatexFile': 'RGEsOutput.tex'
			\end{verbatim}
			\newpage
			Model:\
			\begin{verbatim}
			GaugeGroups :['SU2L', 'U1', 'SU3c']

Particles:
 Qbar: {'SU2L': (1, True), 'U1': -1/6, 'SU3c': (0, 1)}
dR: {'SU2L': (0,), 'U1': -1/3, 'SU3c': (1, 0)}
L: {'SU2L': (1,), 'U1': -1/2, 'SU3c': (0, 0)}
Lbar: {'SU2L': (1, True), 'U1': 1/2, 'SU3c': (0, 0)}
uR: {'SU2L': (0,), 'U1': 2/3, 'SU3c': (1, 0)}
H*: {'SU2L': (1, True), 'U1': 1/2, 'SU3c': (0, 0)}
T*: {'SU2L': (2, True), 'U1': -1, 'SU3c': (0, 0)}
T: {'SU2L': (2,), 'U1': 1, 'SU3c': (0, 0)}
H: {'SU2L': (1,), 'U1': -1/2, 'SU3c': (0, 0)}
eR: {'SU2L': (0,), 'U1': -1, 'SU3c': (0, 0)}

Potential:

Yukawas


ScalarMasses


QuarticTerms
\lambda_1: {'Fields': ['H*', 'H', 'H*', 'H'], 'CGCs': {'SU2L': [1]}, 'Norm': 1}
\lambda_{7}: {'Fields': ['H*', 'T', 'T*', 'H'], 'CGCs': {'SU2L': [1]}, 'Norm': 'Sqrt(3)/2'}
\lambda_{\Delta 1}: {'Fields': [['H*', 'T', 'T*', 'H'], ['H*', 'T', 'T*', 'H']], 'CGCs': {'SU2L': [1, 2]}, 'Norm': ['1/Sqrt(3)', '2/Sqrt(6)']}
\lambda_{\Delta 4}: {'Fields': ['T*', 'T', 'T*', 'T'], 'CGCs': {'SU2L': [1]}, 'Norm': 1}
\lambda_{9}: {'Fields': [['T*', 'T', 'T*', 'T'], ['T*', 'T', 'T*', 'T']], 'CGCs': {'SU2L': [1, 2]}, 'Norm': ['1/2', '1/sqrt(3)']}
			\end{verbatim}
			\section{Gauge Couplings}
		\begin{align*}
			\frac{dg}{dt} = \left.\beta_g\right|_I + \left.\beta_g\right|_{II}\
		\end{align*}
					\subsection{Evolution of $g_{SU2L}$}
					\begin{align*}
						\left.(4\pi)^2\beta_{g_{SU2L}}\right|_{I} = 
					&- \frac{3}{2} g_{SU2L}^{3}\\
						\left.(4\pi)^4\beta_{g_{SU2L}}\right|_{II} = 
				&+\frac{41}{4} g_{1}^{2} g_{SU2L}^{3} + \frac{147}{4} g_{SU2L}^{5} + 12 g_{SU2L}^{3} g_{SU3c}^{2}\\
					\end{align*}
					\subsection{Evolution of $g_{1}$}
					\begin{align*}
						\left.(4\pi)^2\beta_{g_{1}}\right|_{I} = 
					&+\frac{53}{6} g_{1}^{3}\\
						\left.(4\pi)^4\beta_{g_{1}}\right|_{II} = 
				&+\frac{857}{36} g_{1}^{5} + \frac{123}{4} g_{1}^{3} g_{SU2L}^{2} + \frac{44}{3} g_{1}^{3} g_{SU3c}^{2}\\
					\end{align*}
					\subsection{Evolution of $g_{SU3c}$}
					\begin{align*}
						\left.(4\pi)^2\beta_{g_{SU3c}}\right|_{I} = 
					&- 7 g_{SU3c}^{3}\\
						\left.(4\pi)^4\beta_{g_{SU3c}}\right|_{II} = 
				&+\frac{11}{6} g_{1}^{2} g_{SU3c}^{3} + \frac{9}{2} g_{SU2L}^{2} g_{SU3c}^{3} - 26 g_{SU3c}^{5}\\
					\end{align*}\section{Yukawas}
		\begin{align*}
			\frac{dY_a}{dt} = \left.\beta_{Y_a}\right|_I + \left.\beta_{Y_a}\right|_{II}\
		\end{align*}\section{Scalar Mass}
		\begin{align*}
			\frac{dm_{ab}}{dt} = \left.\beta_{m_{ab}}\right|_I + \left.\beta_{m_{ab}}\right|_{II}\
		\end{align*}\section{Quartic Coupling}
		\begin{align*}
			\frac{d\lambda}{dt} = \left.\beta_{\lambda}\right|_I + \left.\beta_{\lambda}\right|_{II}\
		\end{align*}
			\subsection{Evolution of $\lambda_{1}$}
				\begin{align*}
					\left.(4\pi)^2\beta_{\lambda_{1}}\right|_{I}=
				&+24 \lambda_{1}^{2} + \frac{5}{4} \lambda_{{7}}^{2} + 3 \lambda_{{7}} \lambda_{{\Delta 1}} + 3 \lambda_{{\Delta 1}}^{2} + \frac{9}{8} g_{SU2L}^{4}\\
				&- 3 \lambda_{1} g_{1}^{2} - 9 \lambda_{1} g_{SU2L}^{2} + \frac{3}{8} g_{1}^{4} + \frac{3}{4} g_{1}^{2} g_{SU2L}^{2}\\\end{align*}\begin{align*}
			\left.(4\pi)^4\beta_{\lambda_{1}}\right|_{II}=
				&- 312 \lambda_{1}^{3} + 15 \lambda_{{\Delta 1}} g_{1}^{4} + 30 \lambda_{{\Delta 1}} g_{SU2L}^{4} - \frac{511}{48} g_{1}^{6}\\
				&+\frac{821}{24} \lambda_{1} g_{1}^{4} + 10 \lambda_{{7}}^{2} g_{1}^{2} - \frac{691}{48} g_{1}^{4} g_{SU2L}^{2} + \frac{201}{16} g_{SU2L}^{6}\\
				&+17 \lambda_{{7}}^{2} g_{SU2L}^{2} - 10 \lambda_{{7}} g_{1}^{2} g_{SU2L}^{2} + 24 \lambda_{{\Delta 1}}^{2} g_{1}^{2}\\
				&- 30 \lambda_{1} \lambda_{{7}} \lambda_{{\Delta 1}} - 30 \lambda_{1} \lambda_{{\Delta 1}}^{2} + 24 \lambda_{{7}} \lambda_{{\Delta 1}} g_{1}^{2}\\
				&+108 \lambda_{1}^{2} g_{SU2L}^{2} - \frac{29}{2} \lambda_{1} \lambda_{{7}}^{2} - 12 \lambda_{{\Delta 1}}^{3}\\
				&- 18 \lambda_{{7}} \lambda_{{\Delta 1}}^{2} + 15 \lambda_{{7}} g_{SU2L}^{4} - \frac{131}{16} g_{1}^{2} g_{SU2L}^{4}\\
				&- 19 \lambda_{{7}}^{2} \lambda_{{\Delta 1}} + \frac{15}{2} \lambda_{{7}} g_{1}^{4} + 48 \lambda_{{\Delta 1}}^{2} g_{SU2L}^{2}\\
				&+36 \lambda_{1}^{2} g_{1}^{2} - \frac{13}{2} \lambda_{{7}}^{3} + 48 \lambda_{{7}} \lambda_{{\Delta 1}} g_{SU2L}^{2}\\
				&+\frac{39}{4} \lambda_{1} g_{1}^{2} g_{SU2L}^{2} + \frac{75}{8} \lambda_{1} g_{SU2L}^{4}\\
			\end{align*}
			\subsection{Evolution of $\lambda_{{7}}$}
				\begin{align*}
					\left.(4\pi)^2\beta_{\lambda_{{7}}}\right|_{I}=
				&+8 \lambda_{{7}} \lambda_{{\Delta 1}} - \frac{15}{2} \lambda_{{7}} g_{1}^{2} - \frac{33}{2} \lambda_{{7}} g_{SU2L}^{2} - 12 g_{1}^{2} g_{SU2L}^{2}\\
				&+4 \lambda_{1} \lambda_{{7}} + 4 \lambda_{{7}}^{2} + 8 \lambda_{{7}} \lambda_{{9}} + 4 \lambda_{{7}} \lambda_{{\Delta 4}}\\\end{align*}\begin{align*}
			\left.(4\pi)^4\beta_{\lambda_{{7}}}\right|_{II}=
				&- \frac{27}{4} \lambda_{{7}}^{3} - 96 \lambda_{{7}} \lambda_{{\Delta 1}} \lambda_{{\Delta 4}} - 8 \lambda_{{\Delta 1}} g_{1}^{2} g_{SU2L}^{2}\\
				&+64 \lambda_{{7}} \lambda_{{9}} g_{1}^{2} + 46 \lambda_{{7}} \lambda_{{\Delta 1}} g_{SU2L}^{2} + \frac{3421}{48} \lambda_{{7}} g_{1}^{4}\\
				&- 28 \lambda_{1}^{2} \lambda_{{7}} - \frac{245}{16} \lambda_{{7}} g_{SU2L}^{4} - 80 \lambda_{{9}} g_{1}^{2} g_{SU2L}^{2}\\
				&- 40 \lambda_{1} \lambda_{{7}}^{2} - 48 \lambda_{{7}}^{2} \lambda_{{\Delta 4}} - \lambda_{{7}}^{2} g_{1}^{2}\\
				&- 80 \lambda_{1} \lambda_{{7}} \lambda_{{\Delta 1}} - 40 \lambda_{{\Delta 4}} g_{1}^{2} g_{SU2L}^{2} + \frac{691}{3} g_{1}^{4} g_{SU2L}^{2}\\
				&- 38 \lambda_{{7}} \lambda_{{9}}^{2} + 80 \lambda_{{7}} \lambda_{{9}} g_{SU2L}^{2} - 29 \lambda_{{7}} \lambda_{{\Delta 1}}^{2}\\
				&+23 \lambda_{{7}}^{2} g_{SU2L}^{2} - 112 \lambda_{{7}} \lambda_{{9}} \lambda_{{\Delta 1}} + 32 \lambda_{{7}} \lambda_{{\Delta 4}} g_{1}^{2}\\
				&- 40 \lambda_{1} g_{1}^{2} g_{SU2L}^{2} - 29 \lambda_{{7}}^{2} \lambda_{{\Delta 1}} + 40 \lambda_{{7}} \lambda_{{\Delta 4}} g_{SU2L}^{2}\\
				&+8 \lambda_{1} \lambda_{{7}} g_{1}^{2} - 32 \lambda_{{7}} \lambda_{{\Delta 4}}^{2} + \frac{783}{8} \lambda_{{7}} g_{1}^{2} g_{SU2L}^{2}\\
				&- 56 \lambda_{{7}}^{2} \lambda_{{9}} - 88 \lambda_{{7}} \lambda_{{9}} \lambda_{{\Delta 4}} + 10 \lambda_{{7}} \lambda_{{\Delta 1}} g_{1}^{2}\\
				&+161 g_{1}^{2} g_{SU2L}^{4}\\
			\end{align*}
			\subsection{Evolution of $\lambda_{{\Delta 1}}$}
				\begin{align*}
					\left.(4\pi)^2\beta_{\lambda_{{\Delta 1}}}\right|_{I}=
				&+12 \lambda_{{9}} \lambda_{{\Delta 1}} + 16 \lambda_{{\Delta 1}} \lambda_{{\Delta 4}} - \frac{15}{2} \lambda_{{\Delta 1}} g_{1}^{2}\\
				&+4 \lambda_{1} \lambda_{{7}} + 2 \lambda_{{7}} \lambda_{{9}} - \frac{33}{2} \lambda_{{\Delta 1}} g_{SU2L}^{2} + 3 g_{1}^{4} + 6 g_{1}^{2} g_{SU2L}^{2}\\
				&+12 \lambda_{1} \lambda_{{\Delta 1}} + \lambda_{{7}}^{2} + 6 \lambda_{{7}} \lambda_{{\Delta 4}} + 4 \lambda_{{\Delta 1}}^{2} + 6 g_{SU2L}^{4}\\\end{align*}\begin{align*}
			\left.(4\pi)^4\beta_{\lambda_{{\Delta 1}}}\right|_{II}=
				&+60 \lambda_{1} g_{SU2L}^{4} - 72 \lambda_{{9}} \lambda_{{\Delta 1}}^{2} - 96 \lambda_{{\Delta 1}}^{2} \lambda_{{\Delta 4}}\\
				&- 5 \lambda_{{7}} \lambda_{{\Delta 1}}^{2} - 12 \lambda_{{7}} \lambda_{{\Delta 1}} g_{SU2L}^{2} + 40 \lambda_{{9}} g_{1}^{2} g_{SU2L}^{2}\\
				&+20 \lambda_{1} g_{1}^{2} g_{SU2L}^{2} + 16 \lambda_{{7}} \lambda_{{9}} g_{1}^{2} + 256 \lambda_{{\Delta 1}} \lambda_{{\Delta 4}} g_{SU2L}^{2}\\
				&- 16 \lambda_{1}^{2} \lambda_{{7}} - 42 \lambda_{{7}} g_{1}^{2} g_{SU2L}^{2} + \frac{1235}{16} \lambda_{{\Delta 1}} g_{SU2L}^{4}\\
				&- 32 \lambda_{1} \lambda_{{7}} \lambda_{{\Delta 1}} + 72 \lambda_{1} \lambda_{{\Delta 1}} g_{SU2L}^{2} - 70 \lambda_{{9}}^{2} \lambda_{{\Delta 1}}\\
				&+48 \lambda_{{7}} \lambda_{{\Delta 4}} g_{1}^{2} + \frac{185}{4} \lambda_{{7}} g_{SU2L}^{4} + 20 \lambda_{{\Delta 4}} g_{1}^{2} g_{SU2L}^{2}\\
				&- 16 \lambda_{{7}} \lambda_{{9}}^{2} + 56 \lambda_{{7}} \lambda_{{9}} g_{SU2L}^{2} - 118 g_{1}^{2} g_{SU2L}^{4}\\
				&- 13 \lambda_{{\Delta 1}}^{3} + 5 \lambda_{{\Delta 1}}^{2} g_{1}^{2} + 11 \lambda_{{\Delta 1}}^{2} g_{SU2L}^{2}\\
				&+36 \lambda_{1} \lambda_{{7}} g_{SU2L}^{2} - \frac{11}{2} \lambda_{{7}}^{3} + \frac{11}{4} \lambda_{{7}}^{2} g_{SU2L}^{2}\\
				&- 18 \lambda_{1} \lambda_{{7}}^{2} - 16 \lambda_{{7}} \lambda_{{9}} \lambda_{{\Delta 4}} - 48 \lambda_{{7}} \lambda_{{\Delta 1}} \lambda_{{\Delta 4}}\\
				&+30 \lambda_{1} g_{1}^{4} + 108 \lambda_{{7}} \lambda_{{\Delta 4}} g_{SU2L}^{2} - \frac{1157}{12} g_{1}^{6}\\
				&- 60 \lambda_{1}^{2} \lambda_{{\Delta 1}} - 24 \lambda_{{7}}^{2} \lambda_{{\Delta 4}} + 192 \lambda_{{9}} \lambda_{{\Delta 1}} g_{SU2L}^{2}\\
				&+\frac{125}{4} \lambda_{{7}} g_{1}^{4} + 96 \lambda_{{9}} \lambda_{{\Delta 1}} g_{1}^{2} - 80 \lambda_{{\Delta 1}} \lambda_{{\Delta 4}}^{2}\\
				&- 16 \lambda_{{7}} \lambda_{{9}} \lambda_{{\Delta 1}} + 30 \lambda_{{9}} g_{1}^{4} - \frac{1877}{12} g_{1}^{4} g_{SU2L}^{2}\\
				&+24 \lambda_{1} \lambda_{{\Delta 1}} g_{1}^{2} - 120 \lambda_{{9}} \lambda_{{\Delta 1}} \lambda_{{\Delta 4}} + \frac{59}{2} g_{SU2L}^{6}\\
				&+8 \lambda_{1} \lambda_{{7}} g_{1}^{2} - 24 \lambda_{{7}} \lambda_{{\Delta 4}}^{2} + \frac{207}{8} \lambda_{{\Delta 1}} g_{1}^{2} g_{SU2L}^{2}\\\end{align*}\begin{align*}
				\phantom{\left.(4\pi)^2\beta_{\lambda}\right|_{I}=}
				&- 72 \lambda_{1} \lambda_{{\Delta 1}}^{2} - \frac{39}{4} \lambda_{{7}}^{2} \lambda_{{\Delta 1}} + 80 \lambda_{{\Delta 4}} g_{SU2L}^{4}\\
				&+60 \lambda_{{9}} g_{SU2L}^{4} + 128 \lambda_{{\Delta 1}} \lambda_{{\Delta 4}} g_{1}^{2} + 40 \lambda_{{\Delta 4}} g_{1}^{4}\\
				&- 18 \lambda_{{7}}^{2} \lambda_{{9}} + \frac{17}{4} \lambda_{{7}}^{2} g_{1}^{2} + \frac{6421}{48} \lambda_{{\Delta 1}} g_{1}^{4}\\
			\end{align*}
			\subsection{Evolution of $\lambda_{{\Delta 4}}$}
				\begin{align*}
					\left.(4\pi)^2\beta_{\lambda_{{\Delta 4}}}\right|_{I}=
				&+2 \lambda_{{7}} \lambda_{{\Delta 1}} + 24 \lambda_{{9}} \lambda_{{\Delta 4}} - 12 \lambda_{{\Delta 4}} g_{1}^{2} - 12 g_{1}^{2} g_{SU2L}^{2}\\
				&+6 \lambda_{{9}}^{2} + 2 \lambda_{{\Delta 1}}^{2} + 28 \lambda_{{\Delta 4}}^{2} - 24 \lambda_{{\Delta 4}} g_{SU2L}^{2} + 6 g_{1}^{4} + 15 g_{SU2L}^{4}\\\end{align*}\begin{align*}
			\left.(4\pi)^4\beta_{\lambda_{{\Delta 4}}}\right|_{II}=
				&+12 \lambda_{{7}} \lambda_{{\Delta 1}} g_{SU2L}^{2} + 24 \lambda_{{9}}^{2} g_{1}^{2} + 168 \lambda_{{9}} g_{SU2L}^{4}\\
				&+3 \lambda_{{7}}^{2} g_{SU2L}^{2} + 20 \lambda_{{\Delta 1}} g_{SU2L}^{4} + 352 \lambda_{{\Delta 4}}^{2} g_{SU2L}^{2}\\
				&- 3 \lambda_{{7}}^{2} \lambda_{{\Delta 4}} + 5 \lambda_{{7}} g_{1}^{4} + \frac{466}{3} g_{1}^{4} g_{SU2L}^{2}\\
				&- 284 \lambda_{{9}}^{2} \lambda_{{\Delta 4}} - 20 \lambda_{{\Delta 1}}^{2} \lambda_{{\Delta 4}} + \frac{841}{3} \lambda_{{\Delta 4}} g_{1}^{4}\\
				&- 96 \lambda_{{9}}^{3} + 120 \lambda_{{9}}^{2} g_{SU2L}^{2} - 56 \lambda_{{\Delta 4}} g_{1}^{2} g_{SU2L}^{2} + 266 \lambda_{{\Delta 4}} g_{SU2L}^{4}\\
				&+4 \lambda_{{7}} \lambda_{{\Delta 1}} g_{1}^{2} + 192 \lambda_{{9}} \lambda_{{\Delta 4}} g_{1}^{2} - 8 \lambda_{{\Delta 1}}^{3}\\
				&- 6 \lambda_{{7}}^{2} \lambda_{{\Delta 1}} + 10 \lambda_{{7}} g_{1}^{2} g_{SU2L}^{2} + 120 \lambda_{{9}} g_{1}^{4}\\
				&- 12 \lambda_{{7}} \lambda_{{\Delta 1}}^{2} + 10 \lambda_{{7}} g_{SU2L}^{4} + 10 \lambda_{{\Delta 1}} g_{1}^{4} - \frac{646}{3} g_{1}^{6}\\
				&- 20 \lambda_{{7}} \lambda_{{\Delta 1}} \lambda_{{\Delta 4}} + 176 \lambda_{{\Delta 4}}^{2} g_{1}^{2} + 86 g_{1}^{2} g_{SU2L}^{4}\\
				&- 528 \lambda_{{9}} \lambda_{{\Delta 4}}^{2} + 4 \lambda_{{\Delta 1}}^{2} g_{1}^{2} - 384 \lambda_{{\Delta 4}}^{3}\\
				&- 4 \lambda_{{7}}^{2} \lambda_{{9}} - 144 \lambda_{{9}} g_{1}^{2} g_{SU2L}^{2} + 12 \lambda_{{\Delta 1}}^{2} g_{SU2L}^{2}\\
				&- \lambda_{{7}}^{3} + 384 \lambda_{{9}} \lambda_{{\Delta 4}} g_{SU2L}^{2} - 209 g_{SU2L}^{6}\\
			\end{align*}
			\subsection{Evolution of $\lambda_{{9}}$}
				\begin{align*}
					\left.(4\pi)^2\beta_{\lambda_{{9}}}\right|_{I}=
				&+18 \lambda_{{9}}^{2} + 24 \lambda_{{9}} \lambda_{{\Delta 4}} - 12 \lambda_{{9}} g_{1}^{2} + 24 g_{1}^{2} g_{SU2L}^{2} - 6 g_{SU2L}^{4}\\
				&+\lambda_{{7}}^{2} - 24 \lambda_{{9}} g_{SU2L}^{2}\\\end{align*}\begin{align*}
			\left.(4\pi)^4\beta_{\lambda_{{9}}}\right|_{II}=
				&- 7 \lambda_{{7}}^{2} \lambda_{{9}} - 20 \lambda_{{9}} \lambda_{{\Delta 1}}^{2} + 96 \lambda_{{9}} \lambda_{{\Delta 4}} g_{1}^{2}\\
				&- 4 \lambda_{{7}}^{3} + 2 \lambda_{{7}}^{2} g_{1}^{2} + \frac{361}{3} \lambda_{{9}} g_{1}^{4} + 360 \lambda_{{9}} g_{1}^{2} g_{SU2L}^{2}\\
				&- 8 \lambda_{{7}}^{2} \lambda_{{\Delta 4}} - 672 \lambda_{{9}}^{2} \lambda_{{\Delta 4}} + 144 \lambda_{{9}}^{2} g_{SU2L}^{2} + 170 g_{SU2L}^{6}\\
				&- 20 \lambda_{{7}} \lambda_{{9}} \lambda_{{\Delta 1}} + 192 \lambda_{{9}} \lambda_{{\Delta 4}} g_{SU2L}^{2} - 14 \lambda_{{9}} g_{SU2L}^{4}\\
				&- 8 \lambda_{{7}}^{2} \lambda_{{\Delta 1}} - 20 \lambda_{{7}} g_{1}^{2} g_{SU2L}^{2} - 412 g_{1}^{2} g_{SU2L}^{4}\\
				&- 228 \lambda_{{9}}^{3} + 192 \lambda_{{\Delta 4}} g_{1}^{2} g_{SU2L}^{2} - \frac{1652}{3} g_{1}^{4} g_{SU2L}^{2}\\
				&+120 \lambda_{{9}}^{2} g_{1}^{2} - 448 \lambda_{{9}} \lambda_{{\Delta 4}}^{2} - 48 \lambda_{{\Delta 4}} g_{SU2L}^{4}\\
			\end{align*}\end{document}