Why do you think there will be a reduction. To generate the electrical energy to charge the batteries, you need to burn some carbon material -- Oil, Coal et c. -- to generate the energy. You are wheeling around in a closed Loop.
You have to consider the full "well-to-wheel" energy path, starting at the raw fuel (typically fossil-based) and get to 1km traveled on the road. So for Petrol/Diesel also consider the roughly 25% of C02 from the manufacturing process before the vehicle C02 emissions. For electric consider the electric generation CO2 mix. Much nuclear (e.g. France) or much solar/wind (e.g. Spain) means low C02 (100g/kWh for France) but mostly goal/gas means very high CO2 (e.g. 1000g/kWh for South Africa). There are several studies done by industry but not many academically robust ones.
For Europe Battery Electrical Vehicles typically come out best by a good margin, even when compared to the latest high-efficiency petrol/diesel vehicles.