For me: I don't know that my H would really have to meet a "minimum" at this point. At first I would have taken anything to get him to come home. Now I have gotten past the anger - or at least it is not at the forfront. I can still "see" flashes of my old H and know that he has the capability to be a much better person than who he has been for the last several months.
I want a relationship that is healthy, respectful, fun & exciting. I want to give love and be loved in a partnership where we value each other. So the minimum for me would be to be able to see that my H has the capacity to help us achieve that relationship - even if it is still buried and I can only get a glimpse every now and then.
My journey is far from complete and my expectations for my marriage are to no longer have the marriage that I had prior to BD. As I progress in my journey my view of things that my H has done is also changing. The hurt is there, the anger is there, and some of the things he has done I will never understand, but for me to continue to stand I have to know in my soul that I will be able to let the hurt, anger, and confusion go. If we do decide to reconcile - and both of us have to be committed to that - we will both be different people - so our relationship will have to start from scratch, with a clean slate, and that would me that I have no expectations or preconceived ideas that are a hold over from the past.