1. A computer program product, the computer program product comprising a non-transitory computer readable storage medium having program instructions embodied therewith, the program instructions executable by a computer to cause the computer to: update an old version of a global history vector of a first length, an old version of a global history vector of a second length, and an old version of a program counter with data from the most recent instruction cycle on a per-sector basis; generate, after the updating has started and before the updating is complete, a first index based on the old version of a global history vector of a first length and the old version of a program counter; generate, after the updating has started and before the updating is complete, a second index based on the old version of a global history vector of a second length and the old version of a program counter; retrieve, after the updating has started and before the updating is complete, a first branch prediction by applying the first index to a first tagged geometric length (TAGE) branch prediction table for a first history length, wherein first TAGE branch prediction table is developed in part with a loop prediction component; retrieve, after the updating has started and before the updating is complete, a second branch prediction by applying the second index to a second TAGE branch prediction table for a second history length wherein second TAGE branch prediction table is developed in part with a loop prediction component; generate, after the updating has started and before the updating is complete and using a saturating counter, a third branch prediction that is not based on a global history vector; detect a branch misprediction event in the first branch prediction or the second branch prediction; discard, based on the detecting, the old versions of the global history vectors of the first length and the second lengths; disable a path corresponding to the first branch prediction and a path corresponding to the second branch prediction and selecting a path corresponding to the third branch prediction for a current instruction sector; detect that a new instruction sector has been reached; enable the updated version of the global history vector of the first length, the updated version of the global history vector of the second length, and the updated version of the program counter based on detecting that a new instruction sector has been reached; generate a first verification hash value using the updated version of the global history vector of the first length; generate a second verification hash value using the updated version of the global history vector of the second length; compare a first tag from the first TAGE branch prediction table to the first verification hash value; compare a second tag from the second TAGE branch prediction table to the second verification hash value; determine, based on the comparing, that the data from the first branch prediction and the data from the second branch prediction both match the branch instruction and global history vector; and select a path corresponding to the first branch prediction or a path corresponding to the second branch prediction based on a preference for the branch prediction that is based on a global history vector of a longer length.