With a fresh battery and fresh SD card the camera will shut off moments after starting to record a video and say "charge the battery" I turn it back on and the battery is full.
This is such a frustrating issue and I dont want to spend hundreds to send it to cannon when the fix might be simple.
Well my first guess is the battery. Even though you say it is fresh how old is it? Has it been sitting around not being used? Sometimes a defective battery will indicate full but it really doesnt have the capacity to run long.
Well then that's not good news. I cannot think of a setting in the menus that would cause that. Does it take pictures ok and the battery lasts as expected?
An internal problem will be expensive to repair and my guess is Canon might offer you a refurbished one instead of the cost of a repair. Im sorry I do not have a simple fix for you perhaps someone else might have an idea