Diplomatic Immunity
Diplomatic Immunity is very important for genuine diplomats, it is in place to prevent vexatious accusations being made against a countries representatives.
The "tragic accident" caused by negligence is clearly not a vexatious accusation. The facts are well established, the evidence is likely to stand up in a court of law in both countries, and there is the principle that diplomatic immunity can be removed in cases where there is a genuine case.
If the US believe causing death isn't grounds for extradition then they can fuck right off for extradition for any crime less than death.