I don't get it. Why are you acting as if you are the guilty party and asking her if you can come into your own house?
Has she ever been involved in any kind of an A previously?
I think you have made a first bad move, but you can change your position and start acting stronger. No pleading or crying around her, b/c that causes you to appear weak....and in turn, causes her to be turned off. This woman is wayward and she has lost respect for you. The more you try to convince her to stay....the more it pushes her away.
Read the link on detaching, and the one on boundaries.
I notice your children are boys. They will watch you to learn how to be a man.
I hope you will read all the links Cadet has gave you.
Post often and others will reply. I hope you will stick with us.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!