So she caught you cheating and right now you have to do everything to win your wife back and avoid the divorce that is closer than ever! Make no mistake here - it won't be walking in the park if you are Tom Cruise but it's possible and I am going to tell you how! Show her you understand you mistake and taking the full responsibility on it - lying and hiding facts will be a huge mistake right now.
You have to admit everything you did.
If she asks you about something and it's true - don't lie! It will definitely regain a little part of the trust between you.
You'll probably have a lot of fights about it - my advice to you is to show her you feel guilty and not denying you fault! Make her feel like she is the one for you - I hope it's true because if it's not you are wasting your time right now! Tell your wife what exactly you feel, why you cheated and let her know that you really love her and the other woman means nothing to you! Right now it's very important she'll see you really want her, appreciate her and respect her despite all the issues in your relationships that made you cheat! Convince her to open a new list - for her it's extremely hard to forgive you and it's understood.
But if you'll explain her that it's more important to bring back the love, the trust and the happiness into your marriage so you can actually work it out - she'll probably understand it.
People make mistakes sometimes and that's how you have to treat this - a huge mistake that you'll never make again! Talk to her about it only after she'll relax and calm down because other way it won't work!