The proposed algorithm significantly reduce the amount of computations in the case of large groups.

Computer algebra is widely used in various fields of mathematics, physics and other sciences. The simplification of tensor expressions is an importan…

We explore dynamics of cosmological models with bounce solutions evolving on a spatially flat Friedmann-Lemaitre-Robertson-Walker background. We cons…

We present a unified model describing electroweak properties of the pi and rho mesons. Using a general method of relativistic parametrization of matr…

We evaluate a four-loop conformal integral, i.e. an integral over four four-dimensional coordinates, by turning to its dimensionally regularized vers…

On the twentieth anniversary of the observation of the top quark, we trace our understanding of this heaviest of all known particles from the predict…

Using the instant form dynamics of Poincar\'e invariant quantum mechanics and the modified relativistic impulse approximation proposed previously we …

It has been shown previously that in a relativistic constituent-quark model, predictions for the electromagnetic form factor of the $\pi$ meson match…

We develop the cosmological perturbations formalism in models with a single non-local scalar field originating from the string field theory descripti…

We apply Bogoliubov compensation principle to the gauge electro-weak interaction to demonstrate a spontaneous generation of anomalous three-boson gau…

Assuming an existence of an anomalous triple electro-weak bosons interaction being defined by coupling constant $\lambda$, we calculate its contribut…

Solutions of geodesic equations describing propagation of gravitons in the bulk are studied in a cosmological model with one extra dimension. Brane w…

In models of the Universe with extra dimensions gravity propagates in the whole space-time. Graviton production by matter on the brane is significant…

In the framework of the $k_T$-factorization, the prompt production of $\eta_c$ mesons at the LHC conditions is studied. Our consideration is based on…

A theorem about asymptotic estimation of multiple integral of a special type is proved for the case when the integrand peaks at the integration domai…

In the framework of the kt-factorization approach, we study the production of prompt photons associated with heavy (charm and beauty) quarks in hadro…

Despite the fact that experimentally with a high degree of statistical significance only a single Standard Model--like Higgs boson is discovered at t…

We apply a recently suggested new strategy to solve differential equations for Feynman integrals. We develop this method further by analyzing asympto…

We investigate the inclusive top quark pair production in proton-proton and proton-antiproton collisions at high energies in the framework of kt-fact…

We extend the ${\cal O}(\alpha_s^5)$ result of the analytic calculation of the quark mass anomalous dimension in pQCD [1] to the case of a generic ga…

We present the calculation of all non-planar master integrals that are needed to describe production of two off-shell vector bosons in collisions of …

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