South Coast Jag lover

Hi I have had the same problem with the fuel gauge not registering at all. I was just Zero'ing the trip ohmmeter when I filled up. However, my 2011 V6 3ltr XF has started to cut out and the garage thinks this may be due to the fact the car thinks it is out of diesel so starts to such down. Has anyone else experienced this follow issue when they've notice the gauge showing as empty? Thanks?