Few articles treat the cable of a 'scope probe as anything other than a lumped capacity even though it is a significant fraction of a wavelength for frequencies well within the range of most 'scopes.
Trawling the internet since my last post turned up two articles that are well worth reading (in my opinion)...
The secret World of Oscilloscope Probes by Doug Ford
and
An introduction to passive voltage probes by Neutronix Ltd
Jim