The search for new physics beyond the Standard Model can follow one of two tracks: direct searches for new particles at the collider or indirect probes for new physics from precision measurements. In the direct searches for third generation squarks in SUSY at the LHC, the common practice has been to assume a 100% decay branching fraction for a given search channel. In realistic MSSM scenarios, there is often more than one signicant decay mode present, which signicantly weakens the current search limits on third generation squarks at the LHC. On the other hand, the combination of multiple decay modes as well as the new open decay modes offer alternative discovery channels for third generation squarks searches. In this work, we present the third generation squarks decay and the collider signatures in a few representative mass parameter scenarios. We then analyze the reach of the stop/sbottom signal for the pair production in QCD at the 14 TeV LHC with 300 fb⁻¹ integrated luminosity and of the 100 TeV future collider with 3000 fb⁻¹ integrated luminosity in a few representative scenarios. In the scenario of Bino LSP with Wino NLSP, we investigate stop/sbottom pair production at the LHC with one stop/sbottom decaying via t̃ --> t𝑥[0 1], t𝑥[0 2]/b̃ --> b𝑥[0 1], b𝑥[0 2], and the other one decaying via t̃ --> b𝑥[± 1]/b̃ -->t𝑥[± 1]. With the gaugino subsequent decaying to gauge bosons or a Higgs boson 𝑥[0 2] --> 𝑍𝑥[0 1], h𝑥[0 1] and 𝑥[± 1]--> 𝑊±𝑥[0 1], leading to 𝑏𝑏𝑏𝑏𝑗𝑗𝓁 Ɇᴛ final states for the Higgs channel and 𝑏𝑏𝑗𝑗𝑗𝑗𝓁𝓁Ɇᴛ final states for the 𝑍 channel, we study the reach of those signals at the 14 TeV LHC with 300 fb⁻¹ integrated luminosity. Because the sbottom and stop signals in the same SUSY parameter scenario have indistinguishable final states, they are combined to obtain optimal sensitivity, which is about 150 GeV better than the individual reaches of the sbottom or stop. In the scenario of Bino LSP with Higgsino NLSP. The light stop pair production at the 14 TeV LHC, with stops decaying via t̃₁ --> t𝑥[0 2]/𝑥[0 3] and the neutralino subsequently decaying to a gauge boson or a Higgs boson 𝑥[0 2]/𝑥[0 3] --> 𝑥[0 1]h/𝑍, leads to tt̄hh Ɇᴛ, tt̄h𝑍 Ɇᴛ or tt̄𝑍𝑍 Ɇᴛ final states. The above decay channels give rise to final states containing one or more leptons, therefore our search strategy is to divide the signal regions based on the multiplicity of leptons. We find that the one lepton signal region of channel tt̄h𝑍 Ɇᴛ has the best reach sensitivity of light stop searches at the 14 TeV LHC with 300 fb⁻¹ integrated luminosity. We then combine all the signal regions for a given decay channel or combine all the decay channels for a given signal region to maximize the reach sensitivity of the stop search. For the light stop pair production at the √s = 100 TeV future machine with 3000 fb⁻¹ integrated luminosity, we find that a stop with a mass up to 6 TeV can be discovered at 5𝜎 signicance, while a mass up to 6.8 TeV can be excluded at 95% C.L. for the combined results of all three channels. In the indirect probes for new physics, we utilize the 𝑍-pole Oblique Parameters 𝑆,𝑇, 𝑈 and Higgs precision measurements complementarily in the framework of the Two Higgs Doublet Model at current and future colliders. The 𝑆, 𝑇 , 𝑈 is not that sensitive to the rotation angle 𝛽-𝛼, while the Higgs precision measurements set strong constrains on 𝛽-𝛼. Also the 𝑇 is very sensitive to the mass difference of Higgs bosons, leading to the mass of charged Higgs (H±) aligning either along with the mass of neutral Higgs 𝐻 or 𝐴. As for the Higgs precision measurements, we consider the tree level corrections to Higgs coupling constants as well as the radiative corrections to Higgs coupling constants at one loop level for the future collider. The combination of 𝑍-pole precision measurements and Higgs precision measurements complementarily set strong constraints on the parameter space of the 2HDM, especially in the future 𝑒⁺𝑒⁻ circular collider compared to the current collider due to much cleaner backgrounds and higher luminosity.

The standard model of particle physics is the most precisely verified scientific theory in the history of mankind. However, extended theories are already in place, ready to supersede the standard model should it fail to describe any new physics that may be observed in the next generation of high energy particle accelerators. One such minimal extension is the Two Higgs Doublet Model (2HDM). However, the appearance of additional symmetries to those of the gauge symmetries in the 2HDM can have consequences for the cosmological viability of the model, with the possibility for non-trivial topological defects forming during spontaneous symmetry breaking phase transitions.In this research we perform a systematic study of six accidental Higgs Family and CP symmetries that can occur in the 2HDM potential, by introducing and utilizing our Majorana scalar-field formalism. General sufficient conditions for convexity and stability of the scalar potential are derived and analytical solutions for two non-zero neutral vacuum expectation values of the Higgs doublets for each of the six symmetries are presented, in terms of the parameters of the theory. We identify the topological defects associated with the spontaneous symmetry breaking of each symmetry by means of a homotopy-group analysis. We find the existence of domain walls from the breaking of Z2, CP1 and CP2 discrete symmetries, vortices in models with broken U(1)PQ and CP3 symmetries and a global monopole in the SO(3)HF-broken model. We study the associated topological defect solutions as functions of the potential parameters via gradient flow methods. We also consider the cosmological implications of the topological defects and are able to derive bounds on physical observables of the theory in order to avoid contradictions with the theoretical limits on topological defects. The application of our Majorana scalar-field formalism in studying more general scalar potentials that are not constrained by the U(1)Y hypercharge symmetry is discussed. In particular, the formalism may be used to properly identify seven previously hidden symmetries that may be manifest in a U(1)Y invariant scalar potential for particular choices of the model parameters.

It is widely believed that the Standard Model (SM) can not be a fundamental theory of the basic interactions. Originated from this fact, many new physics models have been proposed. Among them, the two Higgs doublet model (2HDM), the SM enlarged by adding one extra scalar doublet, is considered as the simplest extension of the SM. In this work, within the framework of the model III version of the 2HDM, the exclusive decay the branching ratio is calculated and discussed in various physical regions determined by model parameters. It is observed that it is possible to reach present experimental upper limits in model Finally, the avor changing top quark decay,

The lepton flavor violating interactions are interesting in the sense that they are sensitive the physics beyond the standard model and they ensure considerable information about the restrictions of the free parameters, with the help of the possible accurate measurements. In this work, we investigate the lepton flavor violating H+ ! W+l and the lepton flavor conserving H+ ! W+l decays in the general two Higgs doublet model and we estimate decay widths of these decays. After that, we analyze lepton flavor violating decay ! i in the same model and calculate its branching ratio. We observe that the experimental results of the processes under consideration can give comprehensive information about the physics beyond the standard model and the existing free parameters.

The lepton flavor violating interactions are worthwhile to examine since they are sensitive to physics beyond the Standard Model. The simplest extension of the Standard Model promoting the lepton flavor violating interactions are the so called two Higgs doublet model which contains an additional Higgs doublet carrying the same quantum numbers as the first one. In this model, the lepton flavor violating interactions are induced by new scalar Higgs bosons, scalar h^0 and pseudo scalar A^0, and Yukawa couplings, appearing as free parameters, are determined by using the experimental data. On the other hand, the possible extra dimensions are interesting in the sense that they ensure a solution to the hierarchy and cosmological constant problems and also result in the enhancement in the physical quantities of various processes. In the present work, we predict the branching ratios of lepton flavor violating radion decays r-&gt / e^+- mu^-+, r-&gt / e^+- tau^-+ and r-&gt / mu^+- tau^-+ in the two Higgs doublet model, including a single extra dimension, in the framework of the Randall Sundrum scenario. We observed that the branching ratios of the processes we study are at most at the order of 10^-8 for the small values of radion mass and it decreases with the increasing values of the radion mass. Among the LFV decays we study, the r-&gt / mu^+- tau^-+ decay would be the most suitable one to measure its branching ratio.

In this work, the B-&gt / X_dell ell decays are examined in the context of a CP softly broken two Higgs doublet model. The differential branching ratio, forward-backward asymmetry, CP-violating asymmetry, CP-violating asymmetry in the forward-backward asymmetry and polarization asymmetries of the final lepton in this decay are studied. The dependencies of these physical parameters on the model parameters are analyzed by paying a special attention to the effects of neutral Higgs boson (NHB) exchanges and possible CP violating effects. It has been found that NHB effects are quite significant for the tau mode and the above-mentioned observables seems to be promising as a testing ground for new physics beyond the SM, especially for the existence of the CP-violating phase in the theory.

In dieser Disseratation wird eine mögliche Erweiterung des Standardmodells der Elementarteilchen (SM) im Higgs-Sektor mithilfe von Topquarkpaarproduktion am Large Hadron Collider untersucht. Insbesondere wird dabei auf das sogenannte Zwei-Higgs-Duplettmodell eingegangen. Dieses Modell führt mehrere Spin-0 Bosonen (auch Higgsbosonen genannt) zusätzlich zum SM-Higgsboson ein. Dabei wird in dieser Arbeit von der Annahme ausgegangen, dass diese zusätzlichen Higgsbosonen schwer genug sind um in ein Top-Antitop-Paar zu zerfallen. Somit können die experimentellen Signaturen dieser neuen Teilchen mit Hilfe von Observablen der Topquarkpaarproduktion untersucht werden. Dazu wird die resonante Erzeugung von schweren Higgsbosonen und deren Zerfall in Topquarkpaare bis einschließlich Quantenkorrekturen in der nächst-zu-führenden Ordnung (NLO) in der QCD-Kopplungskonstanten berechnet. Weiterhin wird die volle Spininformation des Top-Antitop-Paares beibehalten, welche die Analyse von spinabhängigen Observablen erlaubt. Diese können, insbesondere in Falle von Top-Antitop-Spinkorrelationen, sehr sensitiv auf Effekte schwerer Higgsbosonen sein. Dies zeigt sich besonders in Vergleich zu spinunabhängigen Observablen. Die Sensitivität von spinabhängigen Observablen kann zudem noch durch entsprechende Schnitte auf den Phasenraum von Top- und Antitopquark verstärkt werden. In dieser Dissertation wird ein Verfahren vorgestellt, mit dessen Hilfe sich die Spinkorrelationen identifizieren lassen, welche die größte Sensitivität auf die Effekte schwerer Higgsbosonen aufweisen. Außerdem wird durch die Berechnung der Beiträge zur NLO u.a. gezeigt, dass diese Beiträge wichtig sind um aussagekräftige und robuste Observablen zu definieren. Die Ergebnisse der NLO, die in dieser Arbeit vorgestellt werden, sind die ersten ihrer Art für die resonante Erzeugung von schweren Higgsbosonen und deren Zerfall in Topquarkpaare. / In this dissertation a possible extension of the standard model of particle physics (SM) in the Higgs sector is investigated using top-quark pair production at the Large Hadron Collider as a probe. In particular, the so-called two-Higgs-doublet model (2HDM) is studied. The 2HDM introduces several spin-0 bosons (which are also called Higgs bosons) in addition to the SM Higgs boson. In this thesis these additional Higgs bosons are assumed to be heavy enough to decay into a top-antitop quark pair. Thus, the experimental signatures of these new particles can be studied through observables of top-quark pair production. To this end the resonant production of heavy neutral Higgs bosons and their decay into top-quark pairs in calculated up to next-to-leading order corrections in the QCD coupling constant retaining the full spin information of the top-antitop pair. This allows to analyse spin dependent observables which can be more sensitive to effects of heavy Higgs bosons than spin independent ones especially in the case of top-antitop spin correlations. The additional application of kinematical cuts on the phase space of top and antitop quarks can enhance the sensitivity further. In this thesis a method is presented that can be used to construct the spin correlation which is most sensitive to the effects of heavy Higgs bosons on top-quark pair production. Furthermore, it is shown that the next-to-leading order corrections are required to construct observables which entail robust predictions. The results for the next-to-leading order in the QCD coupling constant presented in this thesis were the first ones given for resonant heavy Higgs production and decay into top-quark pairs.