Barr just suggested 'Temporal authority'.
Temporal power of the Holy See
Papal tiara of Pope John XXII
The temporal power or jurisdiction of the Holy See designates the political and secular influence of the Holy See, the jurisdiction of the pope of the Catholic Church, as distinguished from its spiritual and pastoral activity.
I know wiki is gutter trash but..
https://en.m.wikipedia.org/wiki/Temporal_power_of_the_Holy_See