I had some problems with sneaking and killing when using a bow. As soon as the arrow takes flight, they seem to hear the sound from the string and moves/stands up towards the sound, thus making me miss my shot. And that do just svck!

I find the trick with bows is distance, the further from the target the less likely they will hear it but if someone else is close by they still see the target fall look around but cause your far enough away they cannot see you while in sneak. Daggers are silent while moving in sneak,but if you sneak up on your target and stand behind them you can take out your sword(only) and it's just as effective as long as your not moving with your sword.Muffle helps,and anything that ups your sneak skill is a benefit, usually I hunt from dusk till dawn and most time I try to stay as high and as far from my targets as I can( I use a bow more than a dagger/sword) and I have only ever been spotted once or twice and that was cause I was overzealous and wasn't watching my environment.Also, try not to pick the body right away, wait till no one else is around and then pick the body.