BYU (13-4, 3-0 West Coast) trailed 35-30 at halftime after shooting a dismal 9 for 32 from the field, but the Cougars were much better in the second half, hitting 58.1 percent of their shots.
Haws was 8 for 14 from the field including a perfect 7 for 7 from the free-throw line and Davies had nine rebounds to go along with his point total.
The Cougars started the second half with a 24-5 run and in the middle of it all was Matt Carlino whose 3-pointer with 14:14 remaining in the game gave BYU a 40-39 lead and the Cougars never trailed again.
Jordan Baker scored 20 points, grabbed five rebounds and had three assists to lead Pepperdine (9-7, 1-2).
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.
Mike Brey is looking at former Notre Dame players to fill two assistant jobs that have opened up with the departures of Martin Ingelsby and Anthony Solomon.
Purdue's 2016-17 prospects got a jolt Wednesday when forward Caleb Swanigan announced he will return for his sophomore season.