We present an extension of the standard model of particle interactions with three right handed neutrinos, a new U(1) gauge interaction and a new complex scalar with the main aim of neutrino mass generation. We explore the main structure of this model, which serves as motivation for several other lectures.
 

Neutrinos are massive due to evidence from neutrino oscillations. The mass term can be added to Lagrangian as Dirac or Majorana type. Seesaw mechanism is a combination of both of these types, and it has interesting low-energy phenomenology.
 

I will review the experimental and phenomenological status of the studies of vector boson scattering, a process that is intimately connected to electrweak symmetry breaking and new physics. Results on the observation of these rare processes, the production cross-sections and related anomalous coupling determinations are reviewed and projections for sensitivity at HL-LHC are summarised.
 

Empirical background Evidence 1: Primordial nucleosynthesis Evidence 2: Cosmological Microwave Background Evidence 3: Cosmic observation of antimatter Baryogenesis in a simple extension of SM Strong 1 st order EWPT with an extra scalar field Matter-antimatter separation near the bubble wall Conclusions
 

We divide the lectures into three parts. In the first part we talk about cosmological inflation in general: shortcomings of the standard cosmological model, dynamical source of inflation and predictions. The second part is about renormalization group running induced inflation. We introduce the Higgs- and Higgs portal inflation in the last part of the lectures and discuss them.
 

We introduce the basics of cosmology through an overview of general relativity and the FLRW metric, and the derivation of the Boltzmann equations in cosmology. We apply the framework on the U(1) extended standard model (Superweak model, c.f. talk by Zoltán Trócsányi) to showcase sterile neutrino dark matter production.
 

Many physicsists thought that SUSY would be discovered at the LHC, but not yet, which makes them (including me) disappointed. Here, we will together review (and reflect) SUSY and its 4 motivations. Then, we will "watch" the latest LHC results on SUSY searches. We will pay particular attention to non-colored SUSY particles because "the muon g-2 anomaly" seems to predict that the LHC should soon discover them (at least to me).
 

The discovery of neutrino oscillations opened one of the most promising windows to look for physics beyond the SM. In the first lecture, we will study the neutrino oscillation phenomenon: the probabilities of flavour transition when neutrinos propagate in vacuum and through matter. The present best-fit value of the neutrino oscillation parameters, and the future prospects of the yet unknown parameters will be discussed. In the second lecture, we will focus on the type-I Seesaw with right-handed neutrinos above the EW scale. After integrating out the heavy fields, the d=6 effective operator will induce deviations from unitarity in the PMNS matrix. Thus precision EW observables become a powerful tool to probe for heavy neutrinos. We will see that, under certain circumstances, heavy Majorana neutrinos could generate baryogenesis via leptogenesis. Finally, the most promising way of testing the Majorana nature of neutrinos via neutrino less double beta decay experiments will be discussed.
 

The lecture will revolve around the Levi-Mal'cev decomposition of finite dimensional real Lie algebras, and some of its consequences in Lagrangian field theory. In particular, the Levi-Mal'cev theorem provides a better understanding of SUSY and other exotic symmety concepts involving nilpotent charges.
 

I review what is known, mainly from lattice simulations, on the order of the EW phase transition in the minimal SM and introduce the concepts needed to conclude that the EW baryogenesis is not possible without extending the SM model. Using high temperature expansion, I also review a simple one-loop calculation of the parameter characterizing the strength of a 1st order phase transition, which shows that EWBG is possible in the SM only for low values of the Higgs mass, and therefore it is ruled out.
 

First We introduce the concept of effective field theory (EFT), integrating out heavy degrees of freedom that are not relevant at a given energy scale or experimental setting. We present in simple examples the usage and techniques of EFT's (choice of a basis, matching). After that we go through the basic concepts of SMEFT, the low energy effective theory describing the effects of heavy new particles beyond the SM and finally show constraints on the SMEFT parameters.
 

We study the scaling properties of the differential cross section of elastic proton-proton (pp) and proton-antiproton (pbarp) collisions at high energies. We explore the scaling properties of the differential cross-sections of the elastic pp and pbarp collisions in a limited TeV energy range. Rescaling the TOTEM pp data from \sqrt{s} =7 TeV to 2.76 and 1.96 TeV, and comparing it to D0 pbarp data at 1.96 TeV, our results provide a model independent evidence for a crossing-odd contribution of the scattering amplitude at TeV energies, with a statistical significance of at least 6.26 sigma. We also determined precisely the kinematic region, where this Odderon signal is originating from. References: https://arxiv.org/abs/1912.11968 (accepted in EPJ C) https://arxiv.org/abs/2004.07095 (EPJ C Web of Conferences) https://arxiv.org/abs/2004.07318
 

The unitarily extended Bialas-Bzdak model of elastic proton-proton scattering is applied, without modifications, to describe the differential cross-section of elastic proton-antiproton collisions in the TeV energy range, and to extrapolate these differential cross-sections to LHC energies. In this model-dependent study we find that the differential cross-sections of elastic proton-proton collision data at 2.76 and 7 TeV energies differ significantly from the differential cross-section of elastic proton-antiproton collisions extrapolated to these energies. The elastic differential cross-section of proton-proton collisions, extrapolated to 1.96 TeV energy, does not differ significantly from that of proton-antiproton collisions, within the theoretical errors of the extrapolation. Taken together these results provide a model-dependent, but statistically significant evidence for a crossing-odd component of the elastic scattering amplitude at the at least 7.08 σ level. (arXiv:2005.14319)
 

The 49 years old standard model (SM), the theory of particle physics, seems to describe all experimental data very well. However, the SM has serious theoretical shortcomings. Most of these problems are solved within the frameworks of SM extensions, the most popular of them being supersymmetry. The latter predicts several deviations from the SM, including the Higgs sector, where it expects 5 Higgs bosons, three neutral and two charged ones. To uncover new physics beyond the SM is one of the most important programmes for the experiments of the Large Hadron Collider. Up to date all data collected by ATLAS and CMS agree with the SM, no deviation is found. SM calculations seem to agree very well with measurements at lower energies as well. Thus the question what new physics can be beyond the SM is still open.
 

We will review a set of ideas that envision a non-elementary Higgs boson but rather one which is a composite particle. The motivation is to arrive at a Higgs sector which is free from the Naturalness problem. Analogy with QCD will be very useful and in the first part we will review some basic QCD notions including chiral perturbation theory and in the second part we will see how these ingredients can be adopted for building composite Higgs models.
 

Particle Hunters’ Guide: how to discover or exclude a BSM model at the LHC