After 13. Ne4 Nxd4 14.Qd4 Nf6 15.Qe2 Qd5 16. Kb1 Qe4 is fine for black. White can play 15. Qd3 to mix it up a bit, then the Qd5 plan isn't so good as the other guy pointed out. After 13. Kb1 theres a lot of ideas to avoid getting mated by playing some usefulish waiting moves like Qc7 to see what white does since g4 doesn't do much if the kings still on e8. You can play O-O which is probably the main line but you run the risk of getting mated, especially if you don't know the theory.
M. Spinaltap, could you tell me where I can find the 0-0 theory (analysed in depth) ? (books, videos, ...)
Yes, it is this variation M. pfren.
Though, I don't understand : "analysed to death" ?