Please go spend some time browsing this fascinating web site:
http://www.tolweb.org/tree/
It's the Tree of Life web project, and it allows you to navigate the tree of speciation as we know it.
You might want to start here in the "middle" of the tree:
http://www.tolweb.org/Eutheria/15997
Notice on that page the link for Primates. Click on it and then keep exploring.
While you are there, at the bottom of each page you will see references cited by the large body of scientists that are deriving this information from a variety of approaches. Note that each of these publications are peer reviewed.