A HM Revenue and Customs (HMRC) study, published alongside the Autumn Statement, will suggest that over the next 20 years the planned reductions in the tax on company profits will increase the size of the economy by between 0.6% and 0.8%.
The increase is the equivalent of £10 billion to £12 billion at today's prices or around £400 to £500 per UK household.
At the same time, the study will say, business investment will increase by between 2.5% and 4.5% of GDP - equal to £3.5 billion to £6 billion at current prices.
The study was carried out after Mr Osborne ordered HMRC to undertake a more "dynamic" system of modelling the economy to take account of the broader effects of different rates of tax following the Budget last March.
In 2010, Mr Osborne published the Government's corporate tax "road map" setting out its plans to cut the rate from 28% to 20% over the lifetime of the current Parliament.