By Rosalba O'Brien and Matt Scuffham LONDON (Reuters) - Europe's biggest defense contractor BAE Systems said it will cut up to 3,000 jobs in Britain as smaller global defense budgets hit orders for its fighter jets. The company, which is Britain's biggest manufacturer, said the four partner nations in the Eurofighter Typhoon program -- the UK, Germany, Italy and Spain -- were slowing production rates to help ease their budget pressures, affecting the workload at a number of sites. Weapons makers globally are bracing for more cuts in defense spending sparked partly by this summer's debt-ceiling deal in the United States -- the world's biggest arms market. "Pressure on the U.S.