4bet w/KK

Villain seems to be ok NL25 zoom reg (after 100 hands 26/22 with 3bet 11). He also 3bet ok reg (100 hands 26/23 ) from CT. Standart play with KK?

Hand converted with online PokerStrategy.com hand converter:

Play hand

$0.1/$0.25 No-Limit Hold'em (6 handed)

Known players:
[tg]BU$33.84:///////;SB$28.46:///////;BB (Hero)$25.25:///////;MP2$24.15:///////;MP3$14.69:///////;CO$34.67:///////;[/tg]

Preflop: Hero is BB with K:d, K:s.
2 folds, CO raises to $0.61, BU raises to $2.25, SB folds, Hero raises to $5.60, CO folds, BU calls $3.35.

Flop: ($11.91) 9:h, 4:h, 3:d (2 players)
Hero bets $4.00, BU calls $4.00.

Turn: ($19.91) 2:d (2 players)
Hero bets $15.65, BU calls $15.65.

Final Pot: $51.21.
Results follow:

Hero shows a pair of kings(K:d K:s).
BU shows a pair of aces(A:d A:h).

BU wins with a pair of aces(A:d A:h).