Lately I feel that my wife is paying too much attention on our newborn. So much so that she doesn’t even say goodbye to me when I leave for work. How do I tell her that I feel neglected?

Just tell and be upfront to her, there is nothing wrong with what you feel. Rather than keep it silent and build up it could be worse outcome and affecting your sense. Sure do your wife is has lots of things in her hands as newborn is really hard work but just tell her when you are both in relaxing time