Nt1310 Unit 1 Exercise 2

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A jump in the points is seen for the cuts above $0.20$~GeV missing energy, as the in-peak pion background from the $\omega\to\pi^+\pi^-\pi^0$ decay is starting contributing above $0.20$~GeV missing energy (see Fig.~\ref{dedp}).
The jump is even rigorous for the points above $0.40$~GeV because above that the another in-peak contribution from the $\omega\to\pi^+\pi^-$ decay appeared in the picture (Fig.~\ref{dedp}).
%After $0.20$~GeV missing energy,
%the background from the $\omega\to\pi^+\pi^-\pi^0$ and $\omega\to\pi^+\pi^-$ decays start
%adding up to the peak with increasing $\delta E$.
This lead to the overestimation of the reconstructed number and hence the branching ratio.
%
%The effect upto $|\delta E|>$0.40~GeV is minor, beyond …show more content…

%Thus a giant portion of the in-peak background adds up to
%the number of reconstructed $\omega\to\pi^0\gamma$ decays and thus a sudden jump in the
%value of branching ratio is …show more content…

The analysis of
%the $\omega\to\pi^+\pi^-\pi^0$ and $\omega\to\pi^+\pi^-$ decay is not done for this study yet,
%which might be an outlook for this study.
%not finalized yet for this work and is a scope of another thesis of Ref.~\cite{LHAR}.
%
%If the number of in-peak background is subtracted, the resulting branching ratio will lie in the
%range of other points.
%
Thus, to have an estimate of the order of systematic uncertainty due to the energy-momentum conservation constraint, it would be justified to restrict the fit up to $|\delta E|$ = 0.20~GeV, above which larger fluctuations are seen.
%
%This will give a more accurate estimate of the systematic uncertainty due to $\delta E - \delta P$
%conservation, in comparison to extending the energy range to infinity.
%Therefore, the uncertainty is estimated for the points only up top $|\delta E|>$0.40~GeV.
%Which reduced the uncertainty to a great extend.
%The details about the calculation is given in Appendix~\ref{Adedpsystable}.
%, for example in 1.45~GeV data set 30$\%$ to 15$\%$
%1.45~GeV to have a larger systematic error (30$\%$) than 1.50~GeV (21$\%$) is still

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