Stocco completed 14-of-34 passes with two interceptions for the Badgers (12-1), who finished the season with a nine-game winning streak and won their second straight Capital One Bowl.
Travis Beckum caught five passes for 82 yards and a touchdown and Paul Hubbard had four catches for 73 yards and a TD as the Badgers improved to 10-8 in bowl games.
Felix Jones rushed for 150 yards on 14 carries with two touchdowns for the SEC Western Division champion Razorbacks (10-4), who lost the final three games of the season after 10 consecutive wins.
Casey Dick completed nine of his 21 passes for 98 yards with one interception and Mitch Mustain was 5-of-10 for 41 yards in Arkansas' first post-season appearance since 2002.
Swim Week Miami Beach 2014 [PHOTOS]