No, don't tell him.
Don't compound this mistake by making two.
Not only will it hurt him, it will change his perception of you. He may forgive you, but his perception of you is forever altered.
Telling him to alleviate your guilt is double selfish, the cheating act being the first.
If you are seriously contrite, vow to yourself never to do anything like this to him again, learn your personal lesson and move on.
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