V. Elias et al., NONPERTURBATIVE CONTRIBUTION TO THE FERMION PROPAGATOR AND DYNAMICAL ELECTROWEAK SYMMETRY-BREAKING, Zeitschrift fur Physik. C, Particles and fields, 66(1-2), 1995, pp. 107-117
We examine the field-theoretical contribution of fermion-antifermion c
ondensates arising from a weak-SU(2) doublet of condensing fermions to
electroweak vacuum polarization functions. For the custodial-SU(2) ca
se of equal condensates and masses, we find that the condensate contri
butions to vacuum polarization functions uphold the electroweak signat
ure relation m(w) = m(z)cos theta(w), and that these contributions are
decoupled entirely from oblique radiative corrections. If only the up
per member of the doublet forms a fermion-antifermion condensate, the
relation m(w) = m(z)costheta(w) is again upheld in the limit that the
mass of the lower member of the doublet is small compared to that of t
he upper member. For this case, the upper-member's fermion-antifermion
condensate is shown to enter oblique radiative corrections. In the ab
sense of an explicit Higgs mechanism, identification of this doublet w
ith (t, b) is shown to be excluded by present empirical bounds on S, T
, and U parameters. Further phenomenological consequences of fermion-a
ntifermion condensate contributions to the W-Z mass matrix are discuss
ed, both in the absense and in the presence of an explicit Higgs mecha
nism.