Measurement of the presence of $\mathrm{a}_1(1420)$ and $ω(782)$ in $τ^-\toπ^-π^-π^+ν_τ$ at Belle

This submission contains the reply to Dr. David N. Brown. Here is the copy:


We agree to remove the sentence from the abstract.

The "are" in the second paragraph of the introduction is correct, the "is" is not.

We prefer to leave the statement about the K*K scattering as it is. The reference explains how it clarifies the issue. This is not the final paper, where we are going to present the final result.

We removed the last sentence of the introduction.

We prefer natural units where c = hbar = 1.

We have added to the text the information about the pi0's background ratio to the signal: "And we reduce the presence of neutral pions by requiring the sum of photon energies in the signal hemisphere be below 480 MeV, summing over photons with at least 40 MeV. The last requirement reduces the ratio of the number of events with an additional π0 to the number of signal events from 51% to 15%."

We write "the Euler angles of the three-pion plane".

We write "(QMIPWA), also known as freed-isobar PWA [ref]".

As for the broken references, they are taken from inspirehep.net. I have also tried to change one of them from Inspire to Arxiv, but the URLs to Arxiv remain broken.

1)
- $\APelectron\Pelectron$ collider. We validate our model with a
- model-independent analysis. We see the \aoft and a
+ $\APelectron\Pelectron$ collider.
+ We see the \aoft and a

2)
- decays is assumed throughout.} However, lack of knowledge about
-\tautothreepi, which has never been analyzed for intermediate
-resonances, limits the precision of such measurements.
+decays is assumed throughout.} Lack of knowledge about the resonant
+structure in \tautothreepi limits the precision of such measurements.

3)
-collider KEKB~\cite{KEKB}. Consult \cite{Belle} for details of the Belle
-detector.
+collider KEKB~\cite{KEKB}.

4)
-photons with at least \SI{40}{MeV}.
+photons with at least \SI{40}{MeV}. The last requirement reduces the
+ratio of the number of events with an additional \Ppizero to the number
+of signal events from $51$\% to $15$\%.

5)
-angles of the three pions in the \Ptau rest frame, the
+angles of the three-pions plane in the \Ptau rest frame, the

6)
-with spin $j$, with $L$ the total angular momentum.
+with spin $j$ and total angular momentum.

7)
-We use quasi-model-independent \PWA~(\QMIPWA)~\cite{zm} to verify our
+We use quasi-model-independent \PWA~(\QMIPWA), also known as
+freed-isobar \PWA,~\cite{zm} to verify our

8) Updated BibTeX.