Two loop anomalous dimension of the chromomagnetic moment of a heavy quark
Jan, 199713 pages
Published in:
- Phys.Lett.B 401 (1997) 81-90
e-Print:
- hep-ph/9701375 [hep-ph]
Report number:
- CERN-TH-97-003,
- CERN-TH-97-03,
- CERN-TH-97-3
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Abstract:
We find that the anomalous dimension (in the scheme) of the chromo-magnetic operator 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.Note:
- 13 pages, 4 figures Report-no: CERN-TH/97-3
- HQET model
- quark: magnetic moment
- perturbation theory: higher-order
- higher-order: 2
- invariance: reparametrization
- renormalization
- numerical calculations: interpretation of experiments
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