2003 Jag S-type rear end noise at 35mph

This is purely a guess. The differential and/or transmission could be shifting in their mounts causing something to rub, or stressing one of the CV joints enough to make the noise. Rump rump isn’t a typical CV joint noise, but this is a guess. The mounts could be worn out or loose. How many miles? Did the Jaguar mechanics test drive the car and confirm the noise or are they working in the dark?