Raptor workers found the four-year-old bird in Cambusbarron Quarry near Stirling while they were carrying out monitoring work. Police Scotland are working with the Scottish Raptor Study Group and the RSPB to try to establish the circumstances of the bird's death.
PC Malcolm O'May, Forth Valley division's wildlife crime officer, said: "Police Scotland takes the persecution of these magnificent birds of prey very seriously and we will be doing all we can to identify the person responsible for this crime."
The bird was found on April 15.
Meanwhile, Ross-shire farmers met their local MSPs and police to discuss the deaths of 20 birds of prey, which have been found on farmland in their area.
Many have had their farms searched by police, but say they want to do more to help find those behind the killing of 14 red kites and six buzzards, which were found near Conon Bridge.