Bayern kept alive their hopes of finishing the season with a trophy three days after Bayer Leverkusen ended Bayern’s 11-year reign as German champion Arsenal’s Champions League exit follows a heavy blow to its Premier League title ambitions in a 2-0 loss to Aston Villa on Sunday MUNICH: Bayern Munich could yet crown a disappointing season with the Champions League title. Arsenal face the prospect of ending a promising season with no trophy. Joshua Kimmich’s header powered Bayern to a 1-0 win over Arsenal on Wednesday to reach the Champions League semifinals with a 3-2 victory on aggregate. With the score at 2-2 from the first leg in London, Kimmich’s header off Raphael Guerreiro’s pinpoint cross put Bayern ahead in the 63rd minute as Bayern largely neutralized the English team’s attack. Arsenal’s players were “gutted,” manager Mikel Arteta told broadcaster TNT Sports. “I cannot find the right words to lift them.” Bayern kept alive their hopes of finishing the season with a trophy three days after Bayer Leverkusen ended Bayern’s 11-year reign as German champion. Striker Harry Kane — who spoke Tuesday of being motivated by his release from Arsenal as a youth player — takes a step closer to what would be the first trophy of his career. Tuchel said it meant “really a lot” to beat Arsenal. “The semifinals are an important step, the last four, that was fun,” he told broadcaster DAZN. Bayern and Arsenal have been drawn together five times in the knockout stages of the Champions League since 2005 and the German team has eliminated Arsenal on each occasion. Arsenal’s Champions League exit follows a heavy blow to its Premier League title ambitions in a 2-0 loss to Aston Villa on Sunday. Defeat also rules Arsenal out of next year’s Club World Cup in the US, in favor of Austrian team Salzburg. Arsenal were left to rue the defensive errors that cost the team in the first leg. “We gave them two goals, a big advantage to give away, and today you could see it was margin of error zero, we made a mistake defending the goal and we conceded,” Arteta said. “Then it was difficult. We tried in many different ways but it’s difficult. It is the moment to stay next to the players, give them support, because they are the ones who have taken us on this journey.” Tuchel — who is leaving at the end of the season — becomes a Champions League semifinalist as coach of three different teams, having led Paris Saint-Germain to the 2020 final before winning the competition with Chelsea a year later. After a first half full of inconclusive midfield battles — Tuchel called it “a chess game” — the contest came to life after the break when Bayern hit the frame of the goal twice in a matter of seconds. Leon Goretzka sent a header against the bar and Guerreiro followed up with a shot that was deflected onto the post. Arsenal struggled to make any headway against Bayern’s defense and sometimes looked disjointed at the back, especially when defender Takehiro Tomiyasu risked an own goal with a misjudged pass that went behind for a corner. Kimmich darted into the box unmarked to score the only goal of the game after Guerreiro’s quick footwork on the touchline allowed him to cross past the onrushing Arsenal defender Ben White. “I got a little lucky that no one seemed to really feel responsible for me,” Kimmich told DAZN. Arsenal were awarded a free kick in a dangerous position with seconds of stoppage time left to play and opted to take it quickly. That approach yielded only a corner that was easily headed away as the final whistle blew and Bayern’s celebrations began.