Score by Mychael Danna. He has no previous Oscar nominations.
Score by John Williams. He has won five Oscars: "Schindler's List," "E.T.," "Star Wars," "Jaws," and "Fiddler on the Roof." With a total of 47 nominations, Williams is the second most nominated person in the history of the Oscars (behind Walt Disney).
Score by Alexandre Desplat. He has four previous Oscar nominations, all of them in the last five years: "The King's Speech," "Fantastic Mr. Fox," "The Curious Case of Benjamin Button," and "The Queen."
Desplat has four other films eligible this year: "Rise of the Guardians," "Moonrise Kingdom," "Rust and Bone," and "Zero Dark Thirty."
Score by Thomas Newman. He has 10 previous Oscar nominations, but no wins. His most recent nominations include "WALL-E," "The Good German," "Finding Nemo," and "Road to Perdition."
Newman is also eligible this year for his score from "The Best Exotic Marigold Hotel."
Score by Dario Marianelli. He won an Oscar for composing "Atonement" and was also nominated for "Pride & Prejudice," both films directed by "Anna Karenina" helmer Joe Wright.