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England coach Fabio Capello believed that referee Jorge Larrionda's wrong decision was the turning point and eventually caused a disastrous end to his team's South African journey.
"If we had been awarded the goal at 2-2, the game would be different," said the Italian.
"It's a big mistake from the referee. It's too important for us to go forward," he added.
Thomas Mueller finished two quick counterattacks within four minutes in the second half to sink England's hopes of beating Germany at the World Cup for the first time since the 1966 final and send the English to their worst ever defeat at a final tournament.
Miroslav Klose broke the deadlock after 20 minutes for Germany and opened the goal flush in a highly-anticipated match.
Lukas Podolski doubled the Germans' lead in the 32nd minute. Although England pulled one back only five minutes later through Upston's header, Thomas Mueller made a double within three minutes after the break to put the victory beyond the reach of Capello's squad.
Seven minutes before halftime, Lampard's blasting shot bounced off the underside of the bar and landed about half a meter over the goal-line.
The twist recalls the memory of England's highly controversial goal in the 1966 World Cup final against Germany, which was awarded and helped England lift the trophy with a 4-2 win on home soil. Ever since then, Germany have had the hex over the Three Lions at the World Cup, winning in 1970, drawing in 1982 and triumphing in the penalty shoot out in 1990.
Loew admitted the referee's mistake but emphasized their domination in most of the time.
"From TV images, I have to say this ball was across the line. It should be awarded," Loew said.
"After 2-0, we took control of the game. I have to say we were dominant over long patches.
"We were very aggressive, very pushy from the first minute. Our midfielders were very creative and helped us penetrate their defence. We should have been three to nil in the first half," he added.