As for direct GHG emissions, the most efficient mode of travel depends on many factors involving the models, occupancy, and route, but generally speaking, planes can become more efficient than trains for distances >= 700 miles.
Yeah, electrified rail is by far the most energy-efficient way of transportation. How that translates to CO2 emission of course depends on how the electricity is made.
Turns out motor coaches (e.g. Greyhound busses) are the most efficient at pretty much any distance.