Higher order estimates of the chromomagnetic moment of a heavy quark

Grozin, A.G.; Neubert, M.

doi:10.1016/S0550-3213(97)00615-9

Higher order estimates of the chromomagnetic moment of a heavy quark

A.G. Grozin
(
- Novosibirsk, IYF
)
,
M. Neubert
(
- CERN
)

Jul, 1997

17 pages

Published in:

Nucl.Phys.B 508 (1997) 311-326

e-Print:

hep-ph/9707318 [hep-ph]

DOI:

Report number:

CERN-TH-97-102,
BUDKER-INP-1997-60

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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.

Note:

16 pages, 3 figures embedded Report-no: CERN-TH/97-102, Budker INP 97-60

12.38.Bx
12.38.Cy
12.39.Hg
11.10.Hi
Heavy-quark effective theory
Higher-order perturbative calculation
Renormalons
heavy quark
quark: charm
quantum chromodynamics: magnetic moment

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