I know this seems hard to believe, but shorter barrels do not inherrantly mean compromised accuracy. A short barrel has the ability to be just as accurate as a long barrel. What makes things hard is the shorter sight radius of the iron sights.
Shorter barrels do steal velocity from the rounds you are putting down range, so there will be more of a bullet drop. This will not effect the size of your groups. It will only effect where the groups are hitting your target.
Of course, once the bullet drops to below sub-sonic velocities, it will start doing very strange and unpredictable things. and it is true that because the shorter barrels steal velocity, bullets will drop to below sub-sonic velocities sooner than on a longer barrel, but at this point, were talking about many many hundreds of yards out.