As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
DURING CRUISE AT FL410 FUEL WAS BALANCED USING CROSSFEED PROCEDURES. UPON COMPLETION CROSSFEED VALVE CLOSED NORMALLY LEFT BOOST PUMP REMAINED ON AND RIGHT BOOST PUMP CAME ON. BOTH REMAINED ON UNTIL ABOUT 8000 FEET THEN LIGHT WENT OUT. REPLACED LH AND RH FUEL PRESSURE SWITCHES.