Tezin Türü: Doktora
Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Fen Edebiyat Fakültesi, Fizik Bölümü, Türkiye
Tezin Onay Tarihi: 2009
Tezin Dili: İngilizce
Öğrenci: Ayşe Çağıl
Danışman: MEHMET TEVFİK ZEYREK
Özet:The littlest Higgs model is one of the most economical solution to the hierarchy problem of the standard model. It predicts existence of new gauge vectors and also new scalars, neutral and charged. The littlest Higgs model predicts the existence of new scalars beside a scalar that can be assigned as Higgs scalar of the standard model. In this thesis, the production of scalars in $e^+e^-$ colliders is studied. The scalar productions associated with standard model Higgs boson are also analyzed. The effects of the parameters of the littlest Higgs model to these processes are examined in detail. The collider phenomenology of the littlest Higgs model is strongly dependant on the free parameters of the model, which are the mixing angles $s,s'$ and the symmetry breaking scale $f$. The parameters of the model are strongly restricted when the fermions are charged under only one $U(1)$ subgroup. In this thesis, by charging fermions under two $U(1)$ subgroups, the constraints on the symmetry braking scale and the mixing angles are relaxed. In the littlest Higgs model, the existence of charged heavy scalars also displays an interesting feature. By writing a Majorano like term in the Yukawa Lagrangian, these heavy charged scalars are allowed to decay in to lepton pairs, violating lepton number and flavor. In this thesis, the leptonic final states and also the lepton flavor and number violating final signals are also analyzed. As a result of these thesis, it is predicted that the scalar production will be in the reach for a $\sqrt{S}=2TeV$ $e^+ e^-$ collider, giving significant number of lepton flavor violating signals depending on the Yukawa couplings of the flavor violating term.