Automatised matching between two scalar sectors at the one-loop level

Nowadays, one needs to consider seriously the possibility that a large separation between the scale of new physics and the electroweak scale exists. Nevertheless, there are still observables in this scenario, in particular the Higgs mass, which are sensitive to the properties of the UV theory. In order to obtain reliable predictions for a model which involves very heavy degrees of freedom, the precise matching to an effective theory is necessary. While this has been so far only studied for a few selected examples, we present an extension of the ${\tt Mathematica}$ package ${\tt SARAH}$ to perform automatically the matching between two scalar sectors at the full one-loop level for general models. We show that we can reproduce all important results for commonly studied models like split- or high-scale supersymmetry. One can now easily go beyond that and study new ideas involving very heavy states, where the effective model can either be just the standard model or an extension of it. Also scenarios with several matching scales can be easily considered. We provide model files for the MSSM with seven different mass hierarchies as well as two high-scale versions of the NMSSM. Moreover, it is explained how new models are implemented

Two-Loop Corrections to Higgs Boson Masses in the NMSSM

In dieser Dissertation werden Quantenkorrekturen zu Higgs Boson Massen in dem ladungs- und paritätsverletzenden Nicht-Minimalen Supersymmetrischen Standardmodell auf Zweischleifenordnung berechnet. Der Fokus dieser Arbeit liegt auf jenen Korrekturen, welche ausschließlich im nicht-minimalen nicht aber im Minimalen Supersymmetrischem Standard modell auftreten. Diese Beträge sind deshalb interessant, weil die korrigierten Higgs Boson Massen Einfluss auf Vorhersagen haben können, welche experimentell an Teilchenbeschleunigern getestet werden. Daher können die Higgsmassenkorrekturen die Aussicht auf eine Entdeckung des betrachteten Modells beeinflussen. Des Weiteren können die hier vorgestellten Korrekturen auch für zukünftige Untersuchungen anderer Modelle von Interesse sein. Der Grund dafür ist das Auftreten von (infra-rot) Divergenzen, welche nicht für derartige Berechnungen in minimalen Modellen üblich sind. Die verschiedenen Lösungen für dieses Problem, welche in dieser Arbeit studiert werden, können daher auch in anderen nicht-minimalen Modellrechnungen angewandt werden. Darüber hinaus macht diese Arbeit Aussagen über die Genauigkeit der störungstehorischen Resultate zu den Higgs Boson Massen unter Zuhilfenahme der Abhängigkeit derselbigen von der Wahl des Renormierungsschemata und der Renormierungsskala. Insbesondere werden gemischte OS/DR Renormierungsschemata im Higgs Boson Sektor aber auch im top/stop Sektor der Theorie angewandt. Es wird gezeigt, dass die relativen Korrekturen bis zu 6% groß werden können. In dem Bereich des Modells, welcher mit Unitarität unterhalb der Skala an der sich die Eichkopplungen treffen kompatibel ist, sind die Korrekturen jedoch nicht größer als 3%. Des Weiteren beträgt die theoretische Unsicherheit abgeleitet aus der Variation des Renormierungsschematas in etwa 1-8% und die abgeleitet aus der Renormierungsskala in etwa 0-3%

Together Here: Immersive Theatre, Audience, and Space

Immersive theatre is an important type of modern theatre, notable for its emphasis on bodily engagement. This thesis examines the significance of theatrical and found spaces in immersive work and the potential for immersive theatre to engage its audiences’ bodies in new ways. After first exploring the importance of lived experience in a digital age, the paper moves on to examine the connection between agency, intimacy, proximity, and body. The third section considers the importance of audiences’ bodies as part of an immersive performance, both as sites of intimate interaction and as agents within the work, with a focus on how space and design are used to engage spectators’ bodies through the multisensory experience. The final section of the paper addresses a series of immersive performances created as part of this thesis; these immersive works, each themed around a different season, experiment with immersive strategies while all being set in the same location

A tentative 4- isomeric state in Sr-98

Annual Report 2001, Institut fuer Kernchemie, Johannes-Gutenberg-Universitaet, Mainz, GermanyComment: 3 pages, 1 figur

Electroweak phase transitions with BSM fermions

We study the impact of additional beyond-the-Standard Model (BSM) fermions, charged under the Standard Model (SM) SU(2)$_L$ ⊗ U(1)$_Y$ gauge group, on the electroweak phase transition (EWPT) in a 2-Higgs-Doublet-Model (2HDM) of type II. We find that the strength of the EWPT can be enhanced by about 40% compared to the default 2HDM. Therefore, additional light fermions are a useful tool to weaken the tension between increasing mass constraints on BSM scalars and the requirement of additional light scalar degrees of freedom to accommodate a strong first order EWPT. The findings are of particular interest for a variety of (non-minimal) split supersymmetry scenarios which necessarily introduce additional light fermion degrees of freedom

The O(αt+αλ+ακ)2{\cal O}(\alpha_t+\alpha_\lambda+\alpha_\kappa)^2 Correction to the ρ\rho Parameter and its Effect on the W Boson Mass Calculation in the Complex NMSSM

We present the prediction of the electroweak $\rho$ parameter and the $W$ boson mass in the CP-violating Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM) at the two-loop order. The $\rho$ parameter is calculated at the full one-loop and leading and sub-leading two-loop order $\mathcal{O}(\alpha + \alpha_t\alpha_s + \left(\alpha_t+\alpha_\lambda+\alpha_\kappa\right)^2)$. The new $\Delta \rho$ prediction is incorporated into a prediction of $M_W$ via a full supersymmetric (SUSY) one-loop calculation of $\Delta r$. Furthermore, we include all known state-of-the-art SM higher-order corrections to $\Delta r$. By comparing results for $\Delta \rho$ obtained using on-shell (OS) and $\overline{\mathrm{DR}}$ renormalization conditions in the top/stop sector, we find that the scheme uncertainty is reduced at one-loop order by 55%, at two-loop $\mathcal{O}(\alpha_s\alpha_t)$ by 22%, and at two-loop $\mathcal{O}(\alpha_t+\alpha_\kappa+\alpha_\lambda)^2$ by 16%, respectively. The influence of the two-loop results on the $M_W$ mass prediction is found to be sub-leading. The new calculation is made public in the computer program $\mathrm{\tt NMSSMCALC}$. We perform an extensive comparison in the $W$-mass, Higgs boson mass and the muon anomalous magnetic moment prediction between our calculation and three other publicly available tools and find very good agreement provided that the input parameters and renormalization scales are treated in the same way. Finally, we study the impact of the CP-violating phases on the $W$-mass prediction which is found to be smaller than the overall size of the SUSY corrections

Singlet extended standard model in the context of split supersymmetry

We consider a low-energy effective theory of the next-to-minimal supersymmetric Standard Model by decoupling all scalar states except one Higgs doublet and the complex gauge singlet. The mass spectrum of the resulting singlet extended Standard Model is calculated from two different perspectives: (i) using a matching of the scalar sectors at next-to-leading order and (ii) using the simplified-model approach of calculating the masses in the effective theory at fixed order at the weak scale ignoring any connection to the full theory. Significant deviations between the two methods are found not only in the scalar sector, but also properties of the additional fermions can be very different. Thus, only a small part of the parameter space of the simplified model can be embedded in a well-motivated supersymmetry framework

The O(αt+αλ+ακ)2\mathcal{O}(\alpha _t+\alpha _\lambda +\alpha _\kappa )^2 correction to the ρ\rho parameter and its effect on the W boson mass calculation in the complex NMSSM

We present the prediction of the electroweak $\rho$ parameter and the W boson mass in the CP-violating Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM) at the two-loop order. The $\rho$ parameter is calculated at the full one-loop and leading and sub-leading two-loop order $\mathcal {O}(\alpha + \alpha _t\alpha _s + \left( \alpha _t+\alpha _\lambda +\alpha _\kappa \right) ^2)$. The new $\Delta \rho$ prediction is incorporated into a prediction of $M_W$ via a full supersymmetric (SUSY) one-loop calculation of $\Delta r$. Furthermore, we include all known state-of-the-art SM higher-order corrections to $\Delta r$. By comparing results for $\Delta \rho$ obtained using on-shell (OS) and $\overline{\text {DR}}$ renormalization conditions in the top/stop sector, we find that the scheme uncertainty is reduced at one-loop order by 55%, at two-loop ${\mathcal {O}}(\alpha _s\alpha _t)$ by 22%, and at two-loop ${\mathcal {O}}(\alpha _t+\alpha _\kappa +\alpha _\lambda )^2$ by 16%, respectively. The influence of the two-loop results on the $M_W$ mass prediction is found to be sub-leading. The new calculation is made public in the computer program NMSSMCALC. We perform an extensive comparison in the W-mass, Higgs boson mass and the muon anomalous magnetic moment prediction between our calculation and three other publicly available tools and find very good agreement provided that the input parameters and renormalization scales are treated in the same way. Finally, we study the impact of the CP-violating phases on the W-mass prediction which is found to be smaller than the overall size of the SUSY corrections