The phrase "a negative characterization" is correct and usable in written English.
It can be used when describing someone or something in a way that emphasizes unfavorable traits or qualities.
Example: "The author's portrayal of the antagonist is a negative characterization that highlights their selfishness and cruelty."
Alternatives: "an unfavorable depiction" or "a derogatory description".
Your article was unfair in implying a negative characterization of Dalton, saying that for a viewer who lives across the street from the school, the show "has an additional sense of reality".
This characterization fits well the way we have come to think of the ad hominem fallacy as a view disparaged by putting forth a negative characterization of its supporter or his circumstances.
Although he only gives a negative characterization of primary substances in the Categories — they are neither said-of nor present-in — the examples of them that he provides allow us to form a more robust conception of what a primary substance is supposed to be.
A negative characterization of "the other" was common in most of the textbooks, though negative portrayals were lowest in Israeli state school textbooks (49%) compared with ultra-Orthodox textbooks (73%) and those in Palestinian schools in the West Bank and Gaza Strip (84%), the study found.
On the prosecution: "Marcia Clark did an excellent job with Kato Kaelin, a witness who was not eager to offer any negative characterization of O.J. Simpson's demeanor, motivations or comments the night of the murders.
There may be implicit in this negative characterization a positive ideal for example, "any any two persons of comparable health status who want appropriate care have an equal chance of getting it".
Any such discussion inevitably ends up in a negative media characterization.
Why the relentlessly negative characterization of politics inflected biologically?
Your negative characterization of the public schools in Newark is unfair and makes the road to improvement even more difficult.
And Trump has doubled down on the sharply negative characterization of illegal immigrants as "rapists" and other criminals.
Clarification: the negative characterization of the West Wing in my previous tweet is entirely my own, & based on the early days of the Administration, not today.
