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[Star Wars] Why were Death Troopers not with Tarkin or Vader?

In Rogue One why did Director Krennic have Death Troopers with him, though Tarkin and Vader did not?
gpt
Death troopers are kind of the elite shock troops/commandos of the empire. Tarkin rarely went into battle directly and Vader preferred his own 501st legion if he brought troops at all. Krenik besides being extremely paranoid of assasins and espionage from rivals was considered a valuable if unpredictable asset. The death troopers were both bodyguard and jailer to Krenik. They gave him a sense of safety from assassination while he worked on the deathstar but would also kill him in an instant should he prove disloyal or dangerous with the great work. Vader and tarkin were more trusted by palpatine to not try and use a super weapon to settle petty grievances and more devoted to the imperial cause.