Abstract : The search for the Higgs bosons is one of the priorities of LEP200 at CERN. Indeed the Higgs mechanism which predicts the existence of scalar bosons whose mass is unknown, allows to generate masses to all standard and supersymmetric particles. We have searched for the Higgs bosons produced in the two channels at LEP200 $\mathrm(e^+e^-\rightarrow Z^* \rightarrow hZ)$, and $\mathrm(e^+e^-\rightarrow Z^*\rightarrow hA)$. We have focussed our studies on final states containing four jets. They represent the majority of the final states. We have developed analysis tools to improve the reconstruction of the mass of the Higgs boson produced in the hZ, channel, as well as the efficiency of the event selection. We have analysed all events recorded by DELPHI from 1995 to 1997 (ecm=161, 172 et 183 GeV). Taking into account results from the other decay modes of the Z, DELPHI has obtained the following 95% confidence level exclusion limit on the lightest Higgs boson mass: \mathrm(m_\Phz \ge 84.4~ GeV)/c^2~~~~~~95\%~\mathrm( C.L. ~~(observed~ limit))\nonumber \mathrm(m_\Phz \ge 86.4~ GeV)/c^2~~~~~~95\%~\mathrm( C.L. ~~(expected~ limit))\nonumber An original analysis, explained in this thesis, allows to reach an expected limit of 86.5 GeV/c2, using the four jets channel alone. The interpretation, in the minimal supersymmetric model (MSSM), of the results obtained in the hZ, and hA, channels has lead to the following 95\% confidence level exclusion limit on both neutral Higgs bosons h, et A: \begin(eqnarray) \mathrm(m_\Phz \ge 74.4~ GeV)/c^2~~~~~~95\%~\mathrm( C.L. ~~~~\forall~ tan\beta) \nonumber \mathrm(m_\PAz \ge 75.2~ GeV)/c^2~~~~~~95\%~\mathrm( C.L. ~~~~\forall~ tan\beta) \nonumber \end(eqnarray) Finally, a special analysis of the four jets events has been performed in the framework of an analysis proposed by the ALEPH Collaboration which had seen an excess of four jets events in the data recorded in 1995. Our results have not confirmed this excess.
Résumé : La recherche des bosons de Higgs est une des priorites du programme LEP200 developpe au CERN. En effet, le mecanisme de Higgs, qui predit l'existence de bosons scalaires de masse inconnue, permet de donner des masses aux particules elementaires du modele standard et de ses extensions supersymetriques. Nous avons effectue une recherche des bosons de Higgs neutres dans les deux canaux de production $\mathrm(e^+e^-\rightarrow\PZz^*\rightarrow \Phz\PZz)$\, et $\mathrm(e^+e^-\rightarrow\PZz^*\rightarrow \Phz\PAz)$\, prevus dans les modeles supersymetriques en se limitant aux seuls etats finals a quatre jets qui representent, respectivement 65% et 84% des modes possibles. Un effort particulier a ete porte sur la reconstruction de la masse du boson de Higgs standard (canal hZ) et sur l'amelioration des procedures de selection des evenements. Les etudes faites sur les donnees enregistrees par DELPHI de 1995 a 1997 (ecm=161, 172 et 183 GeV) ont permis d'exclure a 95% de niveau de confiance un boson de Higgs standard plus leger que: \mathrm(m_\Phz \ge 84.4~ GeV)/c^2~~~~~ \mathrm(\grave(a) ~95\%~ C.L. ~~(limite~ observ\acute(e)e))\nonumber\\ \mathrm(m_\Phz \ge 86.4~ GeV)/c^2~~~~~ \mathrm(\grave(a) ~95\%~ C.L. ~~(limite~ attendue))\nonumber en incluant l'ensemble des modes de desintegration du Z. Une analyse originale, developpee dans cette these, a permis d'obtenir une limite attendue egale a 86.5 GeV/c2, en utilisant uniquement l'etat final a 4 jets ce qui constitue un gain de ~ 3 GeV/c2, par rapport a la limite evaluee jusqu'ici dans DELPHI. L'interpretation dans le cadre du modele supersymetrique minimal (MSSM) des resulats obtenus dans les canaux hZ, et hA, a permis d'établir les limites suivantes sur les deux bosons de Higgs neutres h, et A: \mathrm(m_\Phz \ge 74.4~ GeV)/c^2~~~~~ \mathrm(\grave(a) ~95\%~ C.L. ~~~~\forall~ tan\beta) \nonumber\\ \mathrm(m_\PAz \ge 75.2~ GeV)/c^2~~~~~ \mathrm(\grave(a) ~95\%~ C.L. ~~~~\forall~ tan\beta) \nonumber