The usual disintinction is between (traditional) religious antisemitism and racial antisemitism. The latter arose after religious toleration was accepted in most European countries and religious antisemitism lost much of its force. Racial antisemitism arose from about 1870 onwards and operates with conspiracy theories.

Religious antisemitism: Jews are bad because of their beliefs. They killed Jesus, they refused salvation.

Cultural antisemitism: Jews are bad because of what they do. They control the banks. They conspire against civilization.

Racial antisemitism: Jews are bad because of who they are. They have evil genes. They are not really human.

Christian antisemitism, the dominant form from the time of the crusades to the 19th century, discriminated against Jews because they were responsible for killing God and had rejected the Gospels. By the late 19th century, a new conspiracy-centered and secular antisemitism arose, holding that Jews were secretly attempting to control the world and all the world's wealth. With the rise in racial thinking in the late 18th century, Jews were considered to be a separate racial category, but in the late 19th century, a second secular antisemitism arose that focused on Jews as being racially inferior while masquerading as whites and threatening to poison the purity of the white race.

The word is anti-Semitism, or better antisemitism(as there is no such thing as 'semitism' that Jew baiters are 'anti').