K. Whisnant et al., DIMENSION-6 CP-CONSERVING OPERATORS OF THE 3RD-FAMILY QUARKS AND THEIR EFFECTS ON COLLIDER OBSERVABLES, Physical review. D. Particles and fields, 56(1), 1997, pp. 467-478
We list all possible dimension-six CP-conserving SUc(3)xSU(L)(2)xU(Y)(
1)-invariant operators involving the third-family quarks which could b
e generated by new physics at a higher scale. Expressions for these op
erators after electroweak gauge symmetry breaking and the induced effe
ctive couplings Wt(b) over bar, Xb(b) over bar, and Xt(t) over bar (X
= Z, gamma,g, H) are presented. Analytic expressions for the tree leve
l contributions of all these operators to the observables R-b and A(FB
)(b) at CERN LEP I, sigma(e(+)e(-) --> <b(b)over bar>) and A(FB)(b) at
LEP II, sigma(e(+)e(-) --> <t(t)over bar>) and A(FB)(t) at the Next L
inear Collider (NLC). as well as sigma(<p(p)over bar> --> <t(b)over ba
r> + X) at the Fermilab Tevatron upgrade, are provided. The effects of
these operators on different electroweak observables are discussed an
d numerical examples presented. Numerical analyses show that in the co
upling region allowed by R-b and A(FB)(b) at LEP I, some of the new ph
ysics operators can still have significant contributions at LEP II, th
e Tevatron, and the NLC.