Subhnallah!
I would like to say something here. A suggestion/opinion type.
If you and your wife have established the basic foundation of marriage, which are: respect, love, honesty, and truth. You should tell her. It is your fault, your choice to commit such a disgusting sin, hence you should face the consequences of it.
For instance, if i was married, and my wife did something like that or I did, I would tell her regardless. And she
better tell me. I might forgive my wife, but that suspiousion of her cheating and constantly bringing up how she had an affair and what not would be in my mind. So take that into consideration as well. There will be stigma in your marriage, but thats the consequences you face. We should cover our sins because Allah swt expects us to, however in this case it really depends on you.
I have read that most scholars do suggest you don't tell your wife, but some do suggest that you do. My opinion is that i would tell my wife because it is my fault, i made the choice to commit the sin knowingly that i have a wife and etc. This could've been prevented, but Allah knows.
Heres a question for you: what if your wife did such a thing...would she tell you? Do you expect of her to tell you? how would you react? Would you doubt her ever again? literally keep track on her?
As other brother mentioned, you may browse through islamonline.net because there are questions that have been answered regarding this sin. From a female and male one as well.
You should immdiately get yourself a full checkup because the last thing you want to do is infect your wife.
Do sincere repentence to Allah swt, and change jobs if you are able to, do it immdiately as others suggested. And to prevent from this re-occuring, take the necessary steps to avoid it by spending more time with your wife.
Insha'Allah all goes well with you brother

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