"Bus" arc current is the total fault current at the point of the fault, including all sources and all motor contributions. "Branch" arc current is the arcing current through the upstream device that is clearing the fault. The software uses the bus current to calculate the incident energy, and uses the branch arc current to determine the arc duration, based on the time-current curve of the upstream device that is clearing the fault. If there is only one source of fault current, the two values should be the same.
Dave C.