David Newman, who has been conducting the live orchestra at the various re-showings of the 1961 film has been chosen as the arranger/conductor for the remake.
Julio Monge, who studied with Jerome Robbins has been hired as a consultant for the film.
And Lin-Manuel Miranda has been assisting as well.
Totally off topic but my! she's a tiny little thing.

The theatre critic that complained bitterly about the height difference in the 2010 National Tour is going to have a fit over the remake.