If you get caught shoplifting at Target then Loss prevention will stop you at the front door and bring you into the back room. The backroom is where they will take back the items you had on you and start asking you about why you were shoplifting to get an incriminating statement from you. (to Rule out forgetfulness)
Depending on the city (As some police departments take more time to show up) you may wait 10 minutes or up to several hours for the police to show up. Once the police show up, this is where you the officer will give you a citation for a petty theft charge and send you on your way. The citation also counts as an arrest.