Nt1310 Unit 1 Exercise 2

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

%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

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