The full, explicit, scale dependence of the inclusive N3LO cross section for
single Higgs hadroproduction is obtained by calculating the convolutions of
collinear splitting kernels with lower-order partonic cross sections. We
provide results for all convolutions of splitting kernels and lower-order
partonic cross sections to the order in epsilon needed for the full N3LO
computation, as well as their expansions around the soft limit. We also discuss
the size of the total scale uncertainty at N3LO that can be anticipated with
existing information.Comment: 27 pages, 8 figure, 1 table, 8 ancillary files. v2: added 4
references, changed labelling of contour plot
