Most likely they will file their report showing you did it. Then they will turn it over to the DA who has to in some areas present it to a grand jury who will decide if they will charge you.
Then they issue a warrant and they come arrest you for it, not take you back in for questioning.
This is not TV, don't except anyone to look for more evidence or try to prove you anything, they try to convict the first people they have evidnece on.