“Patrick Mahomes assures fans, ‘As long as I’m still with the Kansas City Chiefs, I will undoubtedly contribute everything to make the team great. I’m committed to delivering excellence.'”

Mahomes threw for 262 yards, found Rashee Rice eight times for 130 yards and a touchdown, and made several daring runs for key first downs. Isiah Pacheco pounded over the frozen turf for 89 yards and another score. And the Chiefs shut down a prolific Miami offense in a 26-7 victory in the wild-card round of the playoffs.

Harrison Butker added four field goals for the reigning Super Bowl champs, who appear to be warming up for another run.“Guys came with that attitude, that mentality — we knew it was going to be cold,” Mahomes said. “All week we were preaching, ‘Let’s come in there with that fire and just get after it and see what happens.’”

Meanwhile, the injury-depleted Dolphins (11-7) looked nothing like the same dynamic offense that led the league in yards. Tua Tagovailoa was pressured relentlessly by the NFL’s second-ranked defense, wide receiver Tyreek Hill had a 53-yard TD catch but was otherwise shut down in his return to Kansas City and the Dolphins finished with 264 yards in all.

They have not won at Arrowhead Stadium since Nov. 6, 2011, nor won a playoff game since Dec. 30, 2000.“Losing is never fun, and when the stakes are higher — when it’s playoff time — you feel that maybe 10 times more,” said Tagovailoa, who was just 20 of 39 for 199 yards passing with an interception. “We’ve got to live with that loss.”

The Chiefs get to live with another win in their 15th consecutive home playoff game, not counting a trio of Super Bowls that netted them two Lombardi Trophies. But they will head to Buffalo next week if the Bills beat the Steelers on Monday in a game pushed back a day by a blizzard. Otherwise, the Chiefs will host Houston, which beat the Browns earlier Saturday.

“Everybody was out there playing for each other,” Rice said. “We just put the weather to the side and knew that our opponent didn’t want to be out there just as much as we didn’t, and we showed our love for the game.

It was minus-4 degrees Fahrenheit (minus-20 Celsius) at kickoff, easily setting a record for the coldest game at Arrowhead Stadium. But it was wind gusts, whipping through at more than 25 mph (40 kph) and driving the wind chill to a bone-rattling minus-27 degrees, that made the weather truly miserable for just about everyone.

That included pop star Taylor Swift, who once again turned up to see her boyfriend, Chiefs tight end Travis Kelce.

She at least got to watch from an enclosed suite. Most fans bundled up outside in parkas, ski goggles and snowpants, and players huddled around heaters on the sidelines as if they were oases in the cold. The National Weather Service even issued a warning for what it called “dangerously cold” weather that had blanketed the Midwest.

In fact, the cold may have made Mahomes’ helmet brittle enough that a hit in the third quarter knocked a chunk of the plastic shell from it. Once officials saw the fist-sized hole, they made Mahomes get a backup helmet from the bench.