
\subsection{\bf An Experimental Physics}
\subsection{\bf Monte Carlo}

\begin{slide}
\begin{itemize}
\item Chance of seeing a Higgs
\begin{eqnarray*}
= & \int_{*} & \mbox{(Cross-Section} (= \mbox{Probability) to} \\
& & \mbox{Produce Higgs)} \\
\otimes & \int_{**} & \mbox{(Particles Interacting with} \\
& & \mbox{Experimental Detector)}\hspace{0.5in} \mbox{(NI.18)} \\
\end{eqnarray*}
\begin{description}
\item[$\bullet$ *] represents all relevant theoretical parameters
\item[$\bullet$ **] represents all possible things that happen to
particles as they traverse real world for $\sim 50$ nanoseconds (i.e.,
for around 50 feet as speed of light is a nanosecond per foot!).
\end{description}

\item This is a ``Double'' Monte Carlo---each Monte Carlo is a multiple
integral.

\item Note that ``Second Monte Carlo'' has lots of ``non-differentiable
functions'' as particles are lost/detected with probability 0,1
respectively at sharp geometric boundaries.
\end{itemize}
\end{slide}

