Summing next-to-next-to-leading logarithms in b->c transitions at zero recoil
Abstract
Perturbative corrections to b->c transitions at zero recoil are considered in the two-step matching scheme. The matching coefficient for the b->c currents from the intermediate effective theory (between the scales mb and mc) to the low-energy effective theory (scales below mc) has been found with two-loop accuracy. The next-to-next-to-leading logarithms has been summed in the leading order in mc/mb. Higher-order corrections are estimated in the large-beta0 limit.
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