Physik Praktikum:Protokoll Kalorimetrie – Truth-Quark

Aus Truth-Quark

$LaTeX: \begin{align*} \left( \frac{\sigma c}{c} \right)^2 &= \sum_{k=1}^{4}{\left( \frac{\sigma z_k}{z_k} \right)^2} \\ z_1 &= m_W c_w + W \\ z_2 &= T_m - T_2 \\ z_3 &=m \\ z_4 &=T_1 - T_m \\ \frac{\sigma z_1}{z_1}&=\frac{\sigma(m_W c_W + W)}{m_W c_W + W} \\ &=\frac{\sqrt{ c_W^2 (\sigma m_W)^2 + (\sigma W)^2}}{m_W c_W + W} \\ \frac{\sigma z_2}{z_2}&=\frac{\sigma (T_m-T_2)}{T_m-T_2}\\ &=\frac{\sqrt{(\sigma T_m)^2 + (\sigma T_2)^2}}{T_m-T_2}\\ \frac{\sigma z_3}{z_3} &= \frac{\sigma m}{m} \\ \frac{\sigma z_4}{z_4} &= \frac{\sqrt{(\sigma T_1)^2 + (\sigma T_m)^2}}{T_1-T_m} \\ \sigma c &= c \sqrt{ \frac{c_W^2(\sigma m_W)^2+(\sigma W)^2}{(m_W c_W + W)^2} + \frac{(\sigma T_m)^2 + (\sigma T_2)^2}{(T_m-T_2)^2} + \frac{(\sigma m)^2}{m^2} + \frac{(\sigma T_1)^2 + (\sigma T_m)^2}{(T_1-T_m)^2} } \end{align*}$