Electroweak corrections for inclusive top-quark pair production are reviewed and updated results for the weak corrections taking into account the recently measured Higgs mass are presented.

QCD and weak corrections for top-antitop production at the LHC are presented with emphasis on their behaviour in the threshold region.

Testing the stability of the electroweak vacuum in any extension of the Standard Model Higgs sector is of great importance to verify the consistency of the theory. Multi-scalar extensions as the Minimal Supersymmetric Standard Model generically lead to unstable configurations in certain regions of parameter space. An exact minimization of the scalar potential is rather an impossible analytic task. To give handy analytic constraints, a specific direction in field space has to be considered which is a simplification that tends to miss excluded regions, however good to quickly check parameter points. We describe a yet undescribed class of charge and color breaking minima as they appear in the Minimal Supersymmetric Standard Model, exemplarily for the case of non-vanishing bottom squark vacuum expectation values constraining the combination mu Yb in a non-trivial way. Contrary to famous A-parameter bounds, we relate the bottom Yukawa coupling with the supersymmetry breaking masses. Another bound can be found relating soft breaking masses and mu only. The exclusions follow from the tree-level minimization and can change dramatically using the one-loop potential. Estimates of the lifetime of unstable configurations show that they are either extremely short- or long-lived.

LHCb has reported deviations from the SM expectations in $B\to K^* \mu^+\mu^-$ angular observables, in $B_s\to\phi\mu^+\mu^-$ and in ratio $R(K)=Br[B\to K \mu^+\mu^-]/Br[B\to K e^+e^-]$. For all three decays, a heavy neutral gauge boson mediating $b\to s\mu^+\mu^-$ transitions is a prime candidate for an explanation. As $R(K)$ measures violation of lepton-flavour universality, it is interesting to examine the possibility that also lepton flavour is violated. In this article, we investigate the perspectives to discover the lepton-flavour violating modes $B\to K^{(*)}\tau^\pm\mu^\mp$, $B_s\to \tau^\pm\mu^\mp$ and $B\to K^{(*)} \mu^\pm e^\mp$, $B_s\to \mu^\pm e^\mp$. For this purpose we consider a simplified model in which new-physics effects originate from an additional neutral gauge boson ($Z^\prime$) with generic couplings to quarks and leptons. The constraints from $\tau\to3\mu$, $\tau\to\mu\nu\bar{\nu}$, $\mu\to e\gamma$, $g_\mu-2$, neutrino trident production, $Z\to\ell^+\ell^{\prime-}$, semi-leptonic $b\to s\mu^+\mu^-$ decays and $B_s$–$\overline{B}_s$ mixing are examined. Taking into account these limits, we determine upper bounds on the decay rates of $B\to K^{(*)}\tau^\pm\mu^\mp$, $B_s\to \tau^\pm\mu^\mp$, $B\to K^{(*)}\mu^\pm e^\mp$ and $B_s\to \mu^\pm e^\mp$ as a function of fine-tuning in $B_s$–$\overline{B}_s$ mixing. We find that for a significant degree of fine-tuning the effect in all considered decays with $\tau\mu$ final states can be sizable (leading to branching ratios of the order of $\times 10^{-6}$). For $\mu e$ final states, $B_s\to \mu^\pm e^\mp$ is strongly suppressed and only $B\to K^{(*)} \mu^\pm e^\mp$ can be relevant (of the order of $\times 10^{-7}$). However, this is only possible in a region of the parameter space disfavoured by the current LHCb data on $b\to s\mu^+\mu^-$ transitions.

We propose a mechanism to generate the neutrino mixing matrix from supersymmetric threshold corrections. Flavor violating soft breaking terms induce flavor changing self-energies that give a finite renormalization to the mixing matrix. The described threshold corrections get enhanced in case of quasi-degenerate neutrino masses. In this scenario, we adjust potentially arbitrary soft breaking parameters in a way to reproduce the observed neutrino mixing at one loop working with non-minimal flavor violating soft parameters. To incorporate small neutrino masses already at tree-level via a type I seesaw mechanism, we extend the Minimal Supersymmetric Standard Model with singlet Majorana neutrinos. The radiative corrections do not decouple with the scale of Supersymmetry and persist when the spectrum is shifted to higher values. Moreover, the mixing matrix renormalization with flavor-changing self-energies is not restricted to supersymmetric theories and give similar results in any theory with new flavor structures.

Flavour symmetries provide an appealing mechanism to stabilize the dark matter particle. I present a simple model of quark flavoured dark matter that goes beyond the framework of minimal flavour violation. I discuss the phenomenological implications for direct and indirect dark matter detection experiments, high energy collider searches as well as flavour violating precision data.