What is the best line in the Fried Liver The following is suggested by my computer (Stockfish) as an improvement to a line in the Fried Liver played in Shirov v Sulskis 2014 and suggested as a definite refutation in some places - Shirov's key move was 9. a3. 

As an improvement, instead of the Sulskis move 11... Kd6, play 11... Qh4 as follows, with suggested follow-up (I have tested at some depth, but the positions are not straightforward and there are alternative moves).

[FEN ""]
1. e4 e5
2. Nf3 Nc6
3. Bc4 Nf6
4. Ng5 d5
5. exd5 Nxd5
6. Nxf7 Kxf7
7. Qf3+ Ke6
8. Nc3  Ncb4
9. a3   Nc2+
10. Kd1  Nxa1
11. Nxd5 Qh4
12. d3  Kd6
13. h3  Be6
14. Ne3  e4
15. Nf5+ Kc6
16. Nxh4 exf3
17. Bxe6 fxg2
18. Nxg2


With advantage to black. 11... Qh4 is an extraordinary move so I'd appreciate any commentary on that. Is it really advantage black? Can anyone find an improvement in this line (from move 11) for white?

My computer (at significant depth) would play 9 Bb3 as an improvement for white, instead of Shirov's move (I'm taking the position after move 8 as basic) - but this secures only a modest advantage for white and it looks as though the position can be defended. Is there any deep published analysis of these lines?
Recently, GM L'Ami made a DVD covering the Two Knights and the Fried Liver attack. According to the article, he suggests ideas for both white and black, so maybe he discusses 9.Bb3 (instead of 9.a3) and 11....Qh4 (instead of 11....Kd6).

Furthermore I'd like to add that, although it has been played by a couple of grandmasters, 5....Nxd5 is considered to be very risky for black.

The main line of the variation is 5....Na5. According to the Game Database of ChessTempo, it is by far the most popular response to 4.Ng5. After 6.Bb5+ c6 7.dxc6 bxc6, black is a pawn down, but is ahead in development. This position is one of the tabiyas of 1.e4 e5: has black sufficient compensation for the pawn or not?