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We explore models with additional right-handed gauge bosons that couplepredominantly to the third generation in the context of $b\bar{b}$ productionat LEP. In particular we investigate potential new contributions to $\deltag_{Rb}$ that are needed if the measured $A^b_{FB}$ at the $Z$ peak isinterpreted as a signal of new physics. We identify two sources of large$\delta g_{Rb}$ corrections: $Z-Z^\prime$ mixing at tree-level, and one-loopeffects from a new $SU_R(2)$ triplet of gauge bosons. We find that the lattercan contribute to $\delta g_{Rb}$ at the 1%-level. We place bounds on the massof the additional $Z^\prime$ gauge boson that occurs in these models using the$R_b$ measurements from LEP-II. We find that even in cases where the $Z^\prime$couples almost exclusively to the $b$ and $t$-quarks, masses lighter than about500 GeV are already excluded.Comment: Revtex 28 pages, 10 figur

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>FB</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>at CERN LEP and new right-handed gauge …

AFBbandRbat CERN LEP and new right-handed gauge …