I was told that a 12 and 20 gauge will both shoot as far, but the 20 does it with flatter trajectory.
Not true...
While clearly the reduced recoil of 20ga shotgun slugs make utilizing the gauge attractive relative the 12 ga alternative the ballistics performance of 20 slugs needs to be thoroughly considered before making any decisions to purchase a gun for big game hunting.
In virtually all lines of modern sabot slugs the 12 ammo has not only a flatter trajectory(albeit minor), but in most cases it is actually more resistant to wind drift.
Having had compared virtually all modern slug designs, from various manufacturers, the only reason I would actually advise against using a 20ga is the ballistics.
The 12 ga versions of virtually all modern sabot designs not only have flatter trajectories, and better wind deflection, but they also carry substantially better downrange energy than their respective 20 ga counterparts.(In all likely hood the most important element for the average whitetail hunter)
While I will admit that the differences in performance will be of little consequence to the average shooter, I am simply looking to clarify the facts.
For example here is the wind deflection #'s for the Barnes Expander sabots from Federal. (One of the only manufacturers that publishes this data).(Both ga's are 2-3/4)
Wind Drift in Inches 10 MPH Crosswind
............25...50...75...100..125
12ga...(.02)(.09)(2.0)(3.6)(5.6)
20ga...(.02)(.09)(2.1)(3.9)(6.1)
Clearly the 12ga version of this model is significantly better ballistically in every way than the 20ga version. While the #'s will vary slightly from manufacturer to manufacturer in virtually all cases the 12 ga models will trump the 20 ga's in trajectory, energy, and wind drift.