> 1) In the introduction, the authors mention previous experimental
  data from SIS and SPS, why not also AGS?
We have added: "... information from the Schwerionen-Synchrotron
(SIS), Alternating Gradient Synchrotron (AGS) and
Super-Proton-Synchrotron (SPS) ... "

> 2) end of page 1: I suggest to change "We analyse these data in the
  frame.."-> "We analyse these data in the framework.."
Corrected

> 3) middle of page 3: Why do the reactions of multiple pions to
  proton antiproton affect the slope of directed flow at midrapidity
  as these are pointed out to be the reason for the disagreement of
  the different transport approaches?
We have extanded this sentence with: "... in UrQMD since in PHSD/HSD
the antiprotons pick up some flow from the fusing mesons that is lower
in magnitude that the direct flow for primary $\bar{p}$."

> 4) end of page 3: There is a wrong pointer to Fig. 1 (l.h.s.) where
  it should be Fig. 1 (r.h.s.), also the hybrid results are shown as
  grey bands which is not mentioned in the text.
Thank you, fixed.

> 5) page 4: One of the main conclusions is that PHSD gives a better
  description of the experimental data which is attributed to the
  Kadanoff-Baym dnamics with more accurate spectral functions. Can the
  author give some more explanation as to why this has an influence on
  the directed flow?
Kadanoff-Baym dynamics usually addresses a larger phase space in
collisions as compared to an on-shell approach. If the flow is
dominantly generated by collisions then we find also a larger directed
flow. However, explicit simulationa did not show a sizable
effect. Accordingly, we have removed the second sentence from the
conclusions.