${\epsilon }_b$ Constraints on Self--Couplings of Vector Bosons

Abstract

We analyze the constraints on possible anomalous contributions to the $W^{+}{W}^{-}Z$ vertex coming from non-universal radiative corrections to the $Z\to b\bar{b}$ width. We parametrize these corrections in terms of ${\epsilon }_b$ and use the LEP data to establish the allowed values for the anomalous triple couplings. We examine all CP conserving effective operators that exhibit $SU(2{)}_L\times U(1{)}_Y$ gauge invariance and do not give any tree level contribution to the present experimental observables. For some of these operators our constraints are comparable with the bounds coming from a global fit of the oblique parameters, which evidences the increasing relevance of the precise measurement of the $b$--quark parameters at LEP for the search of new physics.

MAD/PH/836, IFT-P 020/94, IFUSP-P 1116. Revised version of hep-ph/9406316, same text only some reference changed

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