Line 21-23:
Replace "The advantage of the ratio R_FB ...does not rely on the 
knowledge" by
"Only the ratio R_pPb ... relies on the knowledge".
(We do not favour one ratio over the other.)

Line 24:
Replace "With its asymmetric layout the LHCb experiment [2] allows" by
"In spite of the forward layout of the LHCb detector [2] it allows".
(What asymmetry is also not clear here.)

Line 39:
Remove "The" before "measurements".

Figure 1:
Add "p_T, y_lab, p" in the caption.

Line 75:
- Replace "the simulated samples are reweighed" by
"the simulated pp samples are reweighed according to the different
distributions both for forward and backward".
(As I understand a pPb simulation is approximated by a reweighed
pp simulation.)
- I still do not understand how efficiencies can be determined, as the
measured distributions are already used to reweigh the simulation sample.

Line 78:
Replace "is based on that described" by
"is performed similar to the measurement described".

Line 79:
Remove this sentence and start the next one by
"Reconstructed J/psi -> mu+mu- candidates are selected from opposite ..."

Line 88:
- Add "reconstructed" before "invariant mass".
- Replace "duplicated" by "duplicate" or "ghost".

Line 99:
Why do not we determine the normal proper time from the distance s
and the momentum p?
For the reader it will not be clear why a pseudo time is needed.
 
Figure 6:
- Why do we combine FWD and BWD here when we have seen that they behave
  differently? Can we make the figures for FWD and BWD separately?
  Do the theories make no difference between FWD and BWD?
- It is also misleading to show the J/psi from b together
  with the prompt J/psi predictions.
  We may use open symbols for the J/psi from b points in this case and
  use closed symbols when they are compared with J/psi from b.

Line 217:
After "cold nuclear matter effects" add
"on forward produced J/psi".