If by "body" you mean the lowest parts of the car (what you'd see looking at the car from below) and by "floor" you mean the tarmac, there is no minimum distance in the regulations. (Floor as in Spanish "suelo"? In English the floor is in the car).
A car's floor:
The relevant "planes":
They define a "reference plane" and specify that the non-central part of the (car's) floor must be 5 centimeters higher than the central parts. The central parts are where the "plank" is located, a wooden plank made of certain material that can have some titanium in certain areas.
The only think limiting you from running the car even lower is that the plank must not wear off by more than 1mm during the race. You run as close to the tarmac as you dare to.
Of course, as everything in F1, it got more complicated when teams decided to add rake (to tilt the reference plane in relation to the tarmac) to run other parts of the car effectively very, very close to the tarmac.
To summarize, there is nothing in the F1 regulations defining the minimum distance between any part of the car and the tarmac. The whole car is defined in relation to the reference plane, not to the tarmac.
Rivals, not enemies. (Now paraphrased from A. Newey).