Hj. He et Wb. Kilgore, EQUIVALENCE THEOREM AND ITS RADIATIVE-CORRECTION-FREE FORMULATION FORALL R(XI) GAUGES, Physical review. D. Particles and fields, 55(3), 1997, pp. 1515-1532
The electroweak equivalence theorem quantitatively connects the physic
al amplitudes of longitudinal massive gauge bosons to those of-the cor
responding unphysical would-be Goldstone bosons. Its precise form depe
nds on both the gauge-fixing condition and the renormalization scheme.
Our previous modification-free schemes have applied to a broad class
of R(xi) gauges including the 't Hooft-Feynman gauge but excluding the
Landau gauge. In this paper we construct a new renormalization scheme
;in which the radiative modification factor C-mod(a) is equal to unity
for all R(xi) gauges, including both 't Hooft-Feynman and Landau gaug
es. This scheme makes C-mod(a) equal to unity by specifying a convenie
nt subtraction condition for the would-be Goldstone boson wave functio
n renormalization constant Z(phi)a. We build the new scheme for both t
he standard model and the effective Lagrangian formulated electroweak
theories (with either linearly or nonlinearly realized symmetry-breaki
ng sector). Based upon these, a new prescription, called the ''divided
equivalence theorem,'' is further proposed for extending the high ene
rgy region applicable to the equivalence theorem.