Howdy! Not sure what you mean by lsd. But, if it has to do with the Ecoboost, somebody here does. I do know that this will be your best place to learn about all things Ecoboost. In stock form, on the SHO anyway, the power to front and rear is pretty equal with a max 150 to the rear when called for. It's pretty complicated tho, how and when that power is delivered. From what I have learned, it is basically a front drive system unless slippage requires power be sent to the rear. I can't remember for sure if one or two of the guys have torque converters. Maybe, but I don't think so.
EDIT-Limited Slip Differential! I'm getting old. Give me a break.
There are some threads and posts regarding the traction control on PP vs. Non PP.