Note my post above where I stated,
Intersubjectivity is the process that enable the emergence of objectification.
What is objective must always be qualified and conditioned upon its relevant defined framework, whether it is a beauty-contest-organization, boxing-association, scientific method, etc.
There cannot be a standalone standard that determined what is objective.
You are looking for something that is absolutely objective? This is an impossibility within reality.
However there are degrees of confidence level to what is objective which is dependent on the reliability of the framework concerned.
To date, Science [not perfect] is the most reliable intersubjective framework to establish what is objective to the most optimal degree at present, due to its process of testability, verifiability, repeatability, falsifiability, peer review, etc.
In the case of legal, it is objective X is a convicted murder, but that is only qualified to a specific legislature system and the intersubjective processes.
My point;
Objectivity is intersubjective.
Intersubjectivity consensus is dependent on the system and process that enable the emergence of objectification.