Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-01-24
Phys.Lett. B401 (1997) 81-90
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 4 figures
Scientific paper
10.1016/S0370-2693(97)00345-6
We find that the anomalous dimension (in the $\bar{MS}$ scheme) of the chromo-magnetic operator $g_s\bar h_v\sigma_{\mu\nu} G^{\mu\nu} h_v$ in the heavy-quark effective theory is \gamma_{mag} = (C_A\alpha_s / 2\pi) [1 + ( 17/18 C_A - 13/18 T_F n_f)\alpha_s/\pi + O(\alpha_s^2)] generalizing the one-loop expression known previously. To derive the two-loop result, we use the reparametrization invariance and the virial theorem. After performing infrared subtractions, all two-loop integrals are of propagator type and are evaluated by a recurrence relation for tensor integrals.
Amorós Gabriel
Beneke Martin
Neubert Matthias
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