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Alec Aivazis edited kinematics_angle.tex
almost 10 years ago
Commit id: fd5780323316d5e742f2fa000ba4b276f571f05d
deletions | additions
diff --git a/kinematics_angle.tex b/kinematics_angle.tex
index 32eda3a..1c1eb78 100644
--- a/kinematics_angle.tex
+++ b/kinematics_angle.tex
...
& \tan \theta \approx \frac{E_{\nu}' \sin \theta'}{E_{\nu}} \\
\implies & \sin \theta' \approx \frac{E_{\nu}}{E_{\nu}'} \tan \theta
\end{split}
\end{equation}
According to \cite{McDonald_2001} since the pion is a spin zero particle, the decay is isotropic in the pion rest frame. Therefore, the volume elements can be seen as concentric cylinders to integrate over. In order to calculate the neutrino flux to be measured at a given angle, we need to know $\frac{\partial E_{\pi}}{\partial \cos \theta}$