OP I have a lot of experience in this department as both my brothers are dogs.
My elder brother had an office affair with a woman behind his wifes back, they had 3 children.
His wife was in hospital at one point having knee surgery and he asked me to babysit their kids. What I didn't know at the time was that he was out with OW (we had no idea about her at the time). SIL called from hospital and was shocked to hear me pick up the landline. She asked where my brother was and I explained he had gone out.
He had turned his phone off, no way of contacting him in an emergency.
SIL asked me to go through his glovebox and check for a 2nd phone whilst on the call. She must have had an incline.
He ended up marrying the OW and having a child. They later divorced and she still causes him problems now, she is incredibly difficult. I never got on with her or made any effort. I was civil though.
They married in secret so I didn't attend.
Younger brother, married 17 years has just (2 months ago) left his wife. He claims there was no OW, however SIL has seen evidence of things that indicate otherwise. Now all of a sudden my 44 year old brother is dating a 23 year old girl who's dad he went to school with!
He even brought her to our father's Wake after his funeral, as soon as he had shipped his ex wife and child off.
I wont be making any effort with this one. I was forced to meet her, I didn't like her and that's that.
However I will say, if your brother means anything to you, you shouldn't get involved. These things happen. You don't have to be best friends but do try to be civil. It probably wont last long.