Combined fixed-order and effective-theory approach to bb¯ sum rules

We combine the fixed-order evaluation of the bb¯ sum rules with a non-relativistic effective-theory approach. The combined result for the nth moment includes all terms suppressed with respect to the leading-order result by O(αs3) and O((αsn)lαs2), counting αsn∼1. When compared to experimental data, the moments thus obtained show a remarkable consistency and allow for an analysis in the whole range 1⩽n≲16.