Two-loop QCD corrections of the massive fermion propagator

Fleischer J, Jegerlehner F, Tarasov OV, Veretin OL. Two-loop QCD corrections of the massive fermion propagator. NUCLEAR PHYSICS B. 1999;539(3):671-690.The off-shell two-loop correction to the massive quark propagator in an arbitrary covariant gauge is calculated and results for the bare and renormalized propagator are presented. The calculations were performed by means of a set of new generalized recurrence relations proposed recently by one of the authors [Nucl. Phys, B 502 (1997) 455], From the position of the pole of the renormalized propagator we obtain the relationship between the pole mass and the mass. This relation confirms the known result by Gray et al. [Z, Phys. C 48 (1990) 673; C 52 (1991) ill], The bare amplitudes are given for an arbitrary gauge group and for arbitrary space-time dimensions. (C) 1999 Elsevier Science B.V