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In 2010, the CERN (European Centre for Particle Physics Research) Research Board unanimously approved MoEDAL, the seventh international experiment at the Large Hadron Collider (LHC), which is designed to search for avatars of new physics signified by highly ionizing particles. A MoEDAL discovery would have revolutionary implications for our understanding of the microcosm, providing insights into such fundamental questions as: do magnetic monopoles exist, are there extra dimensions or new symmetries of nature; what is the mechanism for the generation of mass; what is the nature of dark matter and how did the big bang unfurl at the earliest times.

A simple extension of the Standard Model (SM), based on the gauge group $\mathrm{\text{SU}}{(3)}_C\otimes \mathrm{\text{SU}}{(3)}_L\otimes \mathrm{\text{U}}{(1)}_Y$ with $Y$ being the hypercharge, is considered. We show that, by imposing an approximate global $\mathrm{\text{SU}}{(2)}_L\times \mathrm{\text{SU}}{(2)}_R$ custodial symmetry at the SM energy scale, the $Z-Z^{\prime }$ mixing is absent at tree level and the value of the $\rho$ parameter can be kept close to one. Tree-level flavor-changing neutral currents (FCNCs) are also reduced to three particles, namely $Z^{\prime }$, a CP-odd Higgs and a CP-even Higgs. The model predicts new leptons with electric charges of ±1/2e and new quarks with ±1/6e charges as well as new gauge and scalar bosons with ±1/2e charges. Electric charge conservation requires that one of them must be stable. Their masses are unfortunately free parameters.

In this paper, the new analytic–exact energy eigenvalues and eigenfunctions are obtained in the fractional forms by using the extended Nikiforov–Uvarov approach in which the heavy diquark systems are described. We have recalculated the mass spectra and fractional radial wave of heavy tetraquarks. The mass spectra are compared to the experimental data. The present results show a good agreement with the experimental data and are improved in comparison with other studies. We conclude that the fractional models play a good role in the heavy tetraquark masses.

The L3+C measurement of the momentum spectrum of atmospheric muons between 20 and 3000 GeV for zenith angles ranging from 0° to 58° is presented and compared to theoretical predictions. An upper flux limit on the antiproton to proton ratio using the moon shadow is reported and an overview on the ongoing L3+C data analysis is given.

We construct a set of noncommuting translation operators in two- and high-dimensional lattices. The algebras they close are w_∞-algebras. The construction is based on the introduction of noncommuting elementary link operators which link two neighborhood sites in the lattice. This type of operators preserve the braiding nature of exotic particles living basically in two-dimensional space.

In 2010, the CERN (European Centre for Particle Physics Research) Research Board unanimously approved MoEDAL, the seventh international experiment at the Large Hadron Collider (LHC), which is designed to search for avatars of new physics signified by highly ionizing particles. A MoEDAL discovery would have revolutionary implications for our understanding of the microcosm, providing insights into such fundamental questions as: do magnetic monopoles exist, are there extra dimensions or new symmetries of nature; what is the mechanism for the generation of mass; what is the nature of dark matter and how did the big bang unfurl at the earliest times.