Higher-order estimates of the chromomagnetic moment of a heavy quark

Details Higher-order estimates of the chromomagnetic moment of a heavy quark Higher-order estimates of the chromomagnetic moment of a heavy quark

1997-07-11

arxiv.org/abs/hep-ph/9707318v1

Nucl.Phys. B508 (1997) 311-326

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 3 figures embedded

Scientific paper

10.1016/S0550-3213(97)00615-9

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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