Light Yagami (Death Note) vs Sherlock Holmes

A spree of criminals being killed has brought the world's greatest detective down on the scene. Sherlock Holmes is tasked by the Crown to solve the Mystery of Silent Deaths, and aided by the dutiful Dr. Watson, they set out to find out who or what is responsible for the massive number of bodies before the scale of murders reaches epidemic proportions.
Can they capture Raito, before he finds out they are on the case and writes their names in the Death Note?
Can they capture Raito, before he finds out they are on the case and writes their names in the Death Note?