Test of the fourth quark generation from the Cabibbo–Kobayashi–Maskawa matrix

The structure of the mixing matrix in the electroweak quark sector with four generations of quarks is investigated. We conclude that the area of the unitarity quadrangle is not a good choice as a possible measure of the CP violation. In search of new physics, we analyze how the existence of the fourth quark family may influence on the values of the Cabibbo–Kobayashi–Maskawa matrix and we show that one can test for the existence of the fourth generation using the Jarlskog invariants of the known quarks only. The analysis based on the measured unitary triangle exhibits some tension with the assumption of three quark generations. The measurement of the unitarity triangle obtained from the scalar product of the second row/column of the CKM matrix by the complex conjugate of third row/column can provide information about the existence of the fourth generation of quarks.

CP violation for four generations of quarks

We discuss the generalization of the Jarlskog condition of CP conservation for the case of the Standard Model with four quark generations. We express this condition in terms of the 3 Jarlskog invariants of the CKM matrix. Next, we present the test for the existence of the fourth quark generation in terms of the Jarlskog invariants involving only known particles.

A case study about the mass exclusion limits for the BSM vector resonances with the direct couplings to the third quark generation

The upper bounds that the LHC measurements searching for heavy resonances beyond the Standard model set on the resonance production cross sections are not universal. They depend on various characteristics of the resonance under consideration, like its mass, spin, and its interaction pattern. Their validity is also limited by the assumptions and approximations applied to their calculations. The bounds are typically used to derive the mass exclusion limits for the new resonances. In our work, we address some of the issues that emerge when deriving the mass exclusion limits for the strongly coupled composite $$SU(2)_{L+R}$$SU(2)L+R vector resonance triplet which would interact directly to the third quark generation only. We investigate the restrictions on the applicability of the generally used limit-obtaining procedure to this particular type of vector resonances. We demonstrate that, in this case, it is necessary to consider the bottom quark partonic contents of the proton. Eventually, we find the mass exclusion limits for this resonance triplet for some representative subsets of the parameter space.

Extra Quarks and Bileptons in BSM Physics in a 331 Model

We describe some salient features of the 331F (Frampton-Pisano-Pleitez) bilepton model, in which the constraints of anomaly cancelation require the number of generations to be three. In a class of six models, four of which characterised by a β parameter describing the embedding of the hypercharge in the SU(3)L symmetry, a specific choice for β allows bileptons in the spectrum, i.e. vectors and scalars of lepton numbers ±2. At the same time the model allows exotic quarks, with the third quark generation treated asymmetrically respect to the other two. Bileptons generate specific signatures in the form of multilepton final states in Drell-Yan like processes, with and without associated jets, which can be searched for at the LHC.

Flavor violating top decays and flavor violating quark decays of the Higgs boson

In the Standard Model, flavor violating decays of the top quark and of the Higgs boson are highly suppressed. Further, the flavor violating decays of the top and of the Higgs are also small in MSSM and not observable in current or in near future experiment. In this work, we show that much larger branching ratios for these decays can be achieved in an extended MSSM model with an additional vector-like quark generation. Specifically, we show that in the extended model, one can achieve branching ratios for [Formula: see text] and [Formula: see text] as large as the current experimental upper limits given by the ATLAS and the CMS Collaborations. We also analyze the flavor violating quark decay of the Higgs boson, i.e. [Formula: see text] and [Formula: see text]. Here again, one finds that the branching ratio for these decays can be as large as [Formula: see text]. The analysis is done with inclusion of the CP phases in the Higgs sector, and the effect of CP phases on the branching ratios is investigated. Specifically, the Higgs sector spectrum and mixings are computed involving quarks and mirror quarks, squarks and mirror squarks in the loops consistent with the Higgs boson mass constraint. The resulting effective Lagrangian with inclusion of the vector-like quark generation induce flavor violating decays at the tree level. In the analysis, we also include the experimental constraints from the flavor changing quark decays of the [Formula: see text] boson. The test of the branching ratios predicted could come with further data from LHC13 and such branching ratios could also be accessible at future colliders such as the Higgs factories where the Higgs couplings to fermions will be determined with greater precision.