It was the first shutout in the College World Series since 1985 and the first time since 2006 both starters went the distance.
"We saw two guys, Aaron Slegers and Matt Boyd, and Matt was just a couple of pitches better," Oregon State coach Pat Casey said. "[Slegers] handcuffed us. And fortunately for us, Matt was as good as I think anybody we've seen throw here."
The Beavers (52-12) advance to face Mississippi State (49-18) -- which beat Oregon State in the tournament's opener -- at 3 p.m. ET on Friday.
Indiana's season ends at 49-16.
Boyd -- the Blue Jays' sixth-round selection in the 2013 First-Year Player Draft -- was nearly unhittable, tossing 4 1/3 no-hit innings, striking out 11 and walking three.
Slegers -- the Twins' fifth-round pick -- was almost as dominant, allowing seven hits and striking out five -- including four of the final six batters he faced.
"It's just one of those where you had two guys who were on tonight and both of them throwing extremely well," Indiana coach Tracy Smith. "Unfortunately, we came out on the wrong end of that. "
A fourth-inning sacrifice fly by Oregon State's Jake Rodriguez to score Kavin Keyes was Slegers' lone blemish. The righty retired 15 of the final 17 batters he faced, seeing just two over the minimum.
"He left a bunch of fastballs up that we kept popping up, and we just couldn't square a bunch of those up," said Keyes, who led off the fourth with a single. "We squared up a few right at them and that was how the game went for both teams."
Boyd gave Indiana almost no opportunities to respond. Only three Hoosiers put the bat on the ball through the first four innings, during which the lefty struck out six.
"He was down with all of his pitches. That's why he was so successful," said Rodriguez, Oregon State's catcher and the Astros' ninth-round Draft pick. "When we needed him to throw an offspeed pitch early or late in the count, he hit his spot and threw balls in the dirt and did a great job all night keeping them off balance."
The senior left-hander didn't allow a hit until the fifth, when Indiana's Michael Basil and Dustin DeMuth (Twins' eighth-round pick) knocked consecutive one-out singles. Both were left stranded as Boyd induced a fly out to center and a weak line out to third base to end the threat.
Boyd also walked three -- two of which were caught trying to steal on first motion -- but Basil was the lone Hoosier to reach scoring position as Indiana was blanked for the first time all season.
"Heck of a time for a shutout," Smith said. "I thought the kid threw the tremendous game. … We're a good hitting team and that guy stifled a good hitting team."
No. 3 Oregon State 1, Indiana 0
North Carolina State vs. No. 1 North Carolina, 8 p.m.*
*Denotes elimination game