New measurement system

I assume that by “CMM” you are referring to coordinate-measuring machines.  I cannot tell if the question is in the context of a calibration laboratories service, a legal metrology verification laboratory, or generally as a product quality assurance and quality control tool for a workshop (machining and assembly) in a manufacturing sector. There are a number of standards for measuring the geometry of physical objects. The ISO publication list is available at https://www.iso.org/committee/54924/x/catalogue/ Which are relevant will depend on the application, country, sector and any other regulations.  It could be, for example, a recognised national standard or other (based on an international standard) to which a verification laboratory will be granted accreditation.

If the context is metrology for calibration laboratory, the ISO 17025 standard will require method development and validation and the evaluation of measurement of uncertainty to prove the system to be appropriate for its defined use.  ISO 17025 requirements must be met to ensure competency to produce consistently reliable results. 

The ISO 17025 toolkit at https://advisera.com/17025academy/iso-17025-documentation-toolkit/. includes the procedure for validation and verification of methods, named Test and Calibration Method Procedure, along a Test Method Development, Verification and Validation Register and Test Method Development, Verification and Validation Record. 

Have a look at other ISO 17025 answered questions for further information which may be of interest.
Procedures for validation and verification of methods at https://community.advisera.com/topic/procedures-for-validation-and-verification-of-methods/
Methods verification at https://community.advisera.com/topic/methods-verification/