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Alec Aivazis edited kinematics_angle.tex
almost 10 years ago
Commit id: 01bd6d2f215500255c74f9d576c3a42827acf46d
deletions | additions
diff --git a/kinematics_angle.tex b/kinematics_angle.tex
index 7aedfc0..2f86782 100644
--- a/kinematics_angle.tex
+++ b/kinematics_angle.tex
...
Assuming the total neutrino flux is proportional to the $\cos$ of the angle with which they are created and the energy of the beam,
\begin{equation}
\begin{split}
& d^2 N \propto d \cos \theta d E_{\nu}
\\
\implies & \frac{d^2 N}{d \cos \theta d E_{\nu}} \propto 1
\end{split}
\end{equation}
From the point of view of an observer in the lab, the total flux at a given angle and energy can by found using the relation