What is the correlation between love and happiness?

My boyfriend and I (of two years) were having ongoing issues which finally forced me to make the decision to break up with him. I love him and am in-love with him but he continually hurt me. Now he is accusing me of not knowing what love is but just chasing after happiness, which is completely untrue. I just want him to understand that I can't be with someone who only hurts me to the point that I cannot even tell if he even cares about me anymore. And he has this misconstrued idea that happiness has nothing to do with love. And I just wanted some opinions on the topic and possibly some suggestions on how to get through to him. So what do you think about love and happiness in relationships? I just need some insight and new perspectives.