When my H told me about his A my reaction was to cling on to him and plead with him to stay. Well I got my wish except there are 3 of us in the R. He obviously hasn't got the guts to go.
Re OW's H? If I could I would tell him because he deserves to know. Your H is lying to you, that's for sure. I read in some cases that confronting H with evidence is enough to make them end the A. You can only rebuild your M when OW is out of the picture. Ask yourself, what do you want and what specific steps can you take towards those goals?
For example, if you confront him, with some class of evidence and he confesses but refuses to stop seeing OW, what will your next step be?
For sure, you will be angry, confused and upset. Realise this is not the time to make long term decisions or fling ultimatums about, unless you want to drive him away.
Keep reading the forums and take heed of all the good advice,