Thanks for your quick answer. The Metrology Handbook helps me.
However, I think I should detail my search: I would like to find a specific standard which defines the values, the tolerances, the precision, the hysteresis etc. It would be very interesting for me to find a standard which gives acceptable data, limits and/or range.
I am not sure exactly what a mechanical comparator is. However, most standards are not written to the detailed level of providing the information you mention. As Hershal suggests, most standards (and thus the handbook) are written on assisting you in developing those for yourself. Make sense? It's kind of like the old "Give a man a fish; will eat for a day. Teach him to fish.... " hopefully you know the rest.
My recommendation is to start a calibration procedure that is consistent with your other calibration procedures for other equipment. Generally make a decision if you roughly have in-house capabilities to tackle such a project, or not.
Contact the manufacture of the equipment. Mind you, there will probably be a charge. But they should have a detailed service manual stating the parameters to be verified, tolerances, etc. If not, they should provide the specifications for the equipment, and you could develop calibration procedures from that.
If you utilize the calibration procedure from the mfg., procedure validation will be minimal. If you have to develop your own, you should validate the procedure to assure it provides the expected calibration results.
Hope that helps.
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