"Root diameter," "core diameter," and "minor diameter" are three ambiguous names meaning "minor diameter." I can't tell you which of these three ambiguous names is most common worldwide, as we would have to find and download the ISO specification of standard nomenclature definitions to find out. I can only tell you the standard name used by ASME (USA) specifications for this quantity is "minor diameter."
"Minor diameter," with no modifier, means "nominal minor diameter." "Nominal" means "the commonly agreed-upon name of a size" or "in name only but not necessarily in actuality," and can sometimes simultaneously mean "approximate" or "approximate average."
ASME B1.13M-1995, ASME B1.1-1989, ASME B1.7M, etc., are very confusing (which implies poorly written, so even though they are a USA standard, I can't recommend them as a "good" reference), and I could not find an exact formula for "minimum minor diameter" for external threads. "Minimum minor diameter" would equal nominal minor diameter minus some thread tolerance based on the thread tolerance class of the particular thread profile, with thread tolerance class "6g" being typical for M bolts, e.g. I must defer to some thread expert who could clarify the exact "minimum minor diameter" formula, for, say, the ISO "M" thread profile with thread tolerance class 6g. Good luck.