'scholarly study' is correct and usable in written English.
You might use 'scholarly study' in a sentence such as: "This article is based on the results of a scholarly study."
Vexillology is the scholarly study of flags.
About twenty-eight seconds, according to a recent scholarly study.
Now there is Bing, the object of scholarly study.
My project is to write the first scholarly study of the Martinican author Joseph Zobel.
Traces the origins of the scholarly study of mummies back to the nineteenth century.
His copious commentaries have themselves become the subject of scholarly study.
This isn't the first time legislators have ginned up outrage over the scholarly study of romance.
Yale's holdings in American silver have made it a leading center of scholarly study.
"Sacred" is also an important technical term in the scholarly study and interpretation of religions.
They have vowed to spend three years in celibate scholarly study, abjuring the company of women.
The scholarly study of Jewish mysticism is a very recent phenomenon.
