I think you can lay out some reasonable boundaries, such as:

- no texting or phoning OW from inside of our home;
- no texsting or phoning OW in front of me, even if we're out together;

Both are disrespectful.

I would also address a "curfew" time that YOU are comfortable with. You have to be careful how you phrase it, as you cannot control him, but maybe something like "If you don't feel like you can come home at a reasonable hour -- say before 1am -- tell me now, and we'll make other arrangements. I won't be disrespected in my own home by having you stay out all night, or come home at 3 in the morning. I can't stop you from having an affair, but I do have my personal boundaries, and I'm going to expect you to respect them."

Puppy