Virgo man here, leave him alone. He no longer trusts you and I'm sure never will. You'd have to jump through all types of hoops that I'm sure you won't be able to handle. Virgos seem to be skeptics about everything and that'll never change (with me anyway). It seems he trusted you and gave you space to let you do what you wanted (or just didn't care what you did, we tend to be pretty withdrawn and spacious), he'll never let you do that if y'all get back together (go and do as you please...because you must of had time away from him to be cheating). I'm sure he also feels like you took advantage of him in some sort of way or fashion.
Something was unfulfilling to you about him which is why you cheated (sorry if I'm over analyzing) and you found what you were looking for with someone else...odds are that emptiness you had with him won't change and you'd ultimately end up doing it again.
Leave it be and move on, if he tries getting back with you, odds are he will (he'll remember the good times...and the bad times which will make him upset and withdrawn), resist and move on because it would be for the best honestly. Sorry to be so harsh and forward!