[Hojglad]

[ QUOTE ]
Given your assumptions, you should raise the turn.
Villain will improve to the best hand 6/44 of the time.

If you pick up the pot now, you are gaining 5.16BB. However, if you wait until the river, you will still have the best hand 38/44 of the time, at which point you will win 6.16BB, but when Villain improves, you will have cost yourself an additional 2 BB.

Therefore, either take 5.16BB now, or wait to get:
(38/44)6.16BB-(6/44)2BB = 5.05BB.

Therefore, you should raise right now to maximize your EV.

[/ QUOTE ]

You also don't take into account the extra BB or two that you will win should you actually win the pot on the river.