There has been A LOT of great work done on the authenticity of the Biblical writings, far too much to even summerize here, frankly.
You should probably consider starting with something basic. Try reading the article "
Is the New Testament Text Reliable?" by Greg Koukl, which should provide some good foundational info. Mr. Koukl also has a more lengthy treatment of this material that should be very approachable for a layman in his short book, "
Ancient Words."
To get more in depth, you could check out any number of great Christian scholars like
Bruce Metzger,
F.F. Bruce,
Paul Barnet,
Michael Licona,
Paul L. Maier, or
Gary Habermas.
If you have specific questions, I'm sure I or someone else here could do a reasonably good job at answering them, too.