arXiv · hep-ph/9707318
Higher-order estimates of the chromomagnetic moment of a heavy quark
Abstract
The leading beta_0^(n-1) alpha_s^n terms in the Wilson coefficient and anomalous dimension of the chromomagnetic operator in the heavy-quark effective Lagrangian are summed to all orders of perturbation theory. The perturbation series for the anomalous dimension is well behaved, while that for the Wilson coefficient exhibits a divergent behaviour already in low orders, caused by a nearby infrared renormalon singularity. The resulting ambiguity is commensurate with terms of order 1/m^2 in the effective Lagrangian, whose corresponding ultraviolet renormalons are identified. An excellent approximation for the scheme-invariant Wilson coefficient at next-to-next-to-leading order in renormalization-group improved perturbation theory is obtained.
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A. G. Grozin, M. Neubert. 1997-07-11. Higher-order estimates of the chromomagnetic moment of a heavy quark. https://doi.org/10.1016/s0550-3213(97)00615-9
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