When does a man have the right to abort his child?

When a woman wants to abdicate her role as a mother we say that she has the right to abortion.
When a man wants to abdicate his role as a father we say that he is a deadbeat dad.
Such name-calling is not acceptable.
If a woman wants to relinquish her role as a parent, our contemporary society says that she has the right. What rights do men have?
If a woman makes the decision to keep a child, the man must pay; otherwise, he is a deadbeat dad.

This is discrimination against men.