Is there a logical, rational reason why hate is bad?

[Rev. Rye]

For the sort of hatred felt towards social groups, here's one: It is often predicated on premises which are frequently anywhere from misguided (like taking the worst actions of one member and assuming it's representative of the whole) to flat-out wrong (for one example, the old claims of Jewish people slaughtering Gentile boys and using their blood as the secret ingredient for pastries, rumours which have never been founded in fact, and which would have rendered the pastries non-Kosher even if the blood was of, say, a cow), and, in addition, causes far more harm than any sort of good. Therefore, it's a bad thing. Is this logical and rational enough?