The 10-year-old Northern Goshawk, known as Bella, was last seen in the Danderhall area on Sunday evening.
The owner of the bird said she did not return to her glove after being startled by the sound of a loud bang in the distance as she pursued a rabbit.
She has not been seen since.
Northern Goshawks have bright red eyes and a distinctive white eyebrow.
Females of the species can grow to around two feet in length and develop a wingspan of up to 127 cm.
In a social media call, Barry Shaw, a local falconer who knows Bella, urged members of the public, “Don’t try to catch this bird.”
Instead, anyone who spots it should call its owner on 0131 4403263.
Although Bella has a GPS tracker, her battery is dead, making it almost impossible to track her movements.
Now the search for the raptor has spread to Edinburgh, Musselburgh and the rest of the Midlothian.
Speaking exclusively to the Evening News, Barry explained how Bella could be anywhere within a 20 mile radius of Danderhall, and said local farms had been contacted to monitor.
Despite this, Barry has a feeling that she will stay close to home.
“I think she’s still in that area,” he said, “because there are a lot of rabbits and pheasants there for her to feed on. “
Commenting on Bella’s search, Scottish SPCA Chief Superintendent Mike Flynn said: “No one should try to search for the bird of prey to capture it except the falconer.
“The falconer will have specialized knowledge and will be able to protect himself while trying to catch the bird,” he explained.
“We ask people to be very careful with the animals in their care.
“If an animal gets lost, there are limited agencies that can help with a search. “
He added: “Unfortunately, the Scottish SPCA does not have the manpower or the resources to help search for the missing animals.”