Algebraic and Heegaard-Floer invariants of knots with slice Bing doubles
  If the Bing double of a knot K is slice, then K is algebraically slice. In addition, Heegaard--Floer concordance invariants developed by Ozsvath-Szabo and by Manolescu-Owens vanish on K. 
Jae Choon Cha, Charles Livingston and Daniel Ruberman