Two-loop anomalous dimension of the chromo-magnetic moment of a heavy quark

1997/01/24 by G. Amorós, Μ. Beneke, M. Beneke +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0370-2693(97)00345-6

published as Phys.Lett. B401 (1997) 81-90 · 13 pages, 4 figures

arxiv created 1997/01/24 · openalex publication_date 1997/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find that the anomalous dimension (in the MS scheme) of the chromo-magnetic operator g_s h_vσ_μν G^μν h_v in the heavy-quark effective theory is γ_mag = (C_Aα_s / 2π) [1 + ( 17/18 C_A - 13/18 T_F n_f)α_s/π+ O(α_s²)] 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.

Citations

• Integration by parts: The algorithm to calculate β-functions in 4 loops

Cited by

• Effective field theory Lagrangians for baryons with two and three heavy quarks