For thrust, C-parameter, and energy correlators, the 1/Q hadronization correction is multiplied by R(Q) = (alpha_s(Q)/alpha_s(mu_np))^{C_A S_1/beta_0} with S_1 = 8(1-ln2), an all-order exponential derived under the linear-recoil assumption.
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Anomalous scaling of linear power corrections
For thrust, C-parameter, and energy correlators, the 1/Q hadronization correction is multiplied by R(Q) = (alpha_s(Q)/alpha_s(mu_np))^{C_A S_1/beta_0} with S_1 = 8(1-ln2), an all-order exponential derived under the linear-recoil assumption.