We report on measurements of the triple-gauge-boson couplings of the W boson in e + e − collisions with the L3 detector at LEP. W-pair, single-W and single-photon events are analysed in a data sample corresponding to a total luminosity of 76.7 pb −1 collected at centre-of-mass energies between 161 GeV and 183 GeV. CP-conserving as well as both C-and P-conserving triple-gauge-boson couplings are determined. The results, in good agreement with the Standard-Model expectations, confirm the existence of the self coupling among the electroweak gauge bosons and constrain its structure.Submitted to Phys. Lett. B
IntroductionDuring the 1996 and 1997 data taking periods, the centre-of-mass energy, √ To lowest order within the Standard Model [2] (SM), three Feynman diagrams contribute to W-pair production, the s-channel γ and Z-boson exchange and the t-channel ν e exchange. The s-channel diagrams contain the γWW and ZWW vertices. At present centre-of-mass energies, single-W production is sensitive to the electromagnetic gauge couplings only. The γWW vertex appears in one of the contributing t-channel Feynman diagrams in Weν production, and dominates the corresponding diagram containing the ZWW vertex. Radiation of a photon from the t-channel exchanged W boson in the process e + e − → ν eνe becomes significant for centre-of-mass energies far above the Z pole and involves as well the γWW vertex.In general the vertices γWW and ZWW are parametrised in terms of seven triple-gaugeboson couplings (TGCs) each [3], too many to be measured simultaneously. Regarding only CP-conserving couplings and assuming electromagnetic gauge invariance, six TGCs remain, which are g [4][5][6][7], where ∆ denotes the deviation of the TGC from its SM value and θ w is the weak mixing angle. When these constraints are applied, the remaining three TGCs, g Z 1 , κ γ and λ γ , correspond to the operators in a linear realization of a gauge-invariant effective Lagrangian that do not affect the gauge-boson propagators at tree level [7]. The TGCs are related to the three α couplings used in our previous publications [8, 9].
1)Alternatively, it is interesting to study the TGCs g Z 1 , κ γ and κ Z , imposing λ γ = λ Z = 0. This set corresponds to the operators of lowest dimensionality in the non-linear realization of a gauge-invariant effective Lagrangian, necessary in the absence of a light Higgs boson [7].In this article we report on measurements of TGCs of the W boson in data samples corresponding to total luminosities of 10.9 pb −1 , 10.3 pb −1 and 55.5 pb −1 collected at centre-of-mass energies of 161 GeV, 172 GeV and 183 GeV, respectively. The results on TGCs are based on analyses of multi-differential cross sections in W-pair, single-W and single-photon production. They include and supersede our previously published results on TGCs [8][9][10]. Other experiments at LEP and at hadron colliders have also reported results on TGCs [11][12][13][14].
Event Selection and ReconstructionThe event selections used here are identical to those published earl...