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).
SMU has signed a second player from Australia, 6-foot-11 forward Harry Froling, to a national letter of intent. The Mustangs previously signed guard Tom Wilson from Australia.
There's nothing to suggest the Jayhawks won't end up atop the Big 12 for a 13th season in a row. But what about a return to the Final Four?
Colorado State graduate transfer John Gillon has chosen Syracuse, giving the Orange a potential starter at point guard entering the 2016-17 season.