Participating countries and international organizations:
Armenia, Azerbaijan, Belarus, Bulgaria, Canada, CERN, Chile, China, Czech Republic, Finland, France, Georgia, Germany, Hungary, ICTP, Italy, Japan, Kazakhstan, Mexico, Mongolia, Netherlands, Norway, Portugal, Poland, Republic of Korea, Russia, Serbia, Slovakia, Spain, Sweden, Switzerland, USA, Ukraine, United Kingdom, Uzbekistan, Vietnam. 

Issues addressed and main goals of research:
The main aim of the research within the theme is the construction of theoretical models and their application to the description of properties of elementary particles and their interactions. This research includes the following directions of activity.

The development of quantum field theory formalism in gauge and supersymmetric theories.
Construction and investigation of the models of particle physics beyond the Standard Model. Theoretical support of experiments at the Large Hadron Collider on the search of new physics and the study of the properties of the Higgs boson.
Calculation of radiative corrections to the processes of particle creation within the Standard Model and its extensions. Investigation of neutrino properties and neutrino oscillations. Investigation of the hadron properties within quantum chromodynamics and phenomenological quark models. Study of the hadron spin structure with the help of generalized and transverse momentum dependent parton distributions and theoretical support of NICA/SPD program.
Study of heavy quark properties and exotic hadrons. Lattice simulations for obtaining nonperturbative results in gauge theories. Investigation of dense hadronic matter and theoretical support of the NICA/MPD program .
Theoretical support of a wide range of current and future experiments at JINR, IHEP, CERN, GSI, JLab and other physics centers. 

Expected major results in the current year:

• Study of uncertainties related with the chiral structure of interactions in the Standard Model in the calculations of four-loop beta-functions of the gauge coupling constants.
  
  Investigation of the possibility of explanation of the Higgs decay to a µ -  lepton pair in the framework of supersymmetric extensions of the Standard Model. 
  
  Analysis of the parameter space in supersymmetric and non-supersymmetric models in order to find regions where the enhancement of the rare Standard Model processes rate takes place.
  
  Formulation of the generalized renormalization group using the N=1 D=8 supersymmetric theory as an example. 
  
  Investigation of the six-dimensional conformal supersymmetric theories and derivation of the factorization formula for the chiral amplitudes.
  
  Construction of the self-consistent models of the Dark Matter characterised by the spin of the Dark Matter particles and the spin of the force carriers, taking into account all possible renormalizable interactions.
  
  Study of the hadronic contributions to precise Standard Model observables in the framework of the dispersive approach to QCD.
  
  Development of approaches that increase the efficiency of calculations of the one-dimensional and two-dimensional Mellin-Barnes integrals, using approximations for the exact contours of the stationary phase.
  
  Development of computational techniques for the solution of multiloop Baxter equations entering Quantum Spectral Curve (QSC) formulations of different models for arbitrary operator spin values. The use of the latter to obtain predictions for anomalous dimensions of twist 1 and 2 operators at the level not accessible by presently available techniques.
  
  Development of computational tools for the evaluation of master integrals containing the elliptic structure. The use of the latter for the calculation of master integrals entering 2-loop single quarkonium production at LHC as well as 2-loop on-shell and off-shell (reggeon) amplitudes with an arbitrary number of legs in the N=4 supersymmetric Yang-Mills theory.
  
  Investigation of the Q ² evolution of average multiplicities in the first two orders of perturbation theory with the double-logarithm resummation taken into account.
  
  Consideration of the Q ² evolution of the structure function F₂ and its derivations at small x in the first three orders of perturbation theory with BFKL corrections taken into account.
  
  Study of the high-energy cosmic neutrinos as unique messengers of physics of and beyond the Standard Model. The observations of TeV-PeV neutrino events in the IceCube Observatory may open up windows to demonstrate the astrophysical origin of high energy neutrinos and their production mechanisms in Beyond the Standard Model scenarios.
  
  Computer simulation of the detectability of the resonance from Higgs  ⁰,  ⁺ and  ⁺⁺ particles arisen from left-right symmetric extension models in the light of the proposed upgrade of IceCube Neutrino Observatory. Study of the effect of mixing of sterile neutrinos with active ones _e, _µ and  in the light of the expected data of the upgraded of IceCube Neutrino Observatory. 
  
  
• Unification of Generalized Parton Distributions (GPDs) of nucleons and mesons. Investigation of GPDs dependence on transverse momentum with allowance for to two-photon corrections. Investigation of the process of e ⁺e ^- -annihilation and tau-lepton decay with production of three mesons in the final state. Classical and quantum description of interaction of twisted particles with external fields. Investigation of the spin distribution and fragmentation function with the use of truncated Mellin moments formalism. 
  
  Calculation of the coefficient function of  ^{*  *   0} hard process at QCD NNLO. 
  
  Development of HYPERDIRE package for differential reduction of hypergeometric function with an arbitrary number of arguments, studies of analytic properties of their expansion near the rational values of parameters.
  
  Theoretical calculations of the signal and background in a new experiment on the search for light vector boson with a secondary muon beam, planned on the basis of NA64.
  
  Calculate to NLO QCD accuracy and up to all twist contributions, the transition form factors related to the pion-nucleon collision with producing the photon and nucleon, and the nucleon form factors based on the axial interpolation current within the light-cone sum rules; 
  
  Calculations of exclusive Drell-Yan cross sections at NICA energies with taking into account of the quark-gluon and quark-quark contributions. 
  
  Investigations of hadron energy-momentum tensor components in various QCD non-perturbative functions and their relations with the pressure in hadrons. 
  
  
• Dileptonic spectrum in a rare decay of B_s-meson, B_s   gifl ⁺gifl ^-, induced by neutral currents with a change of flavor, will be calculated and analyzed. The corresponding form-factors of transitions will be calculated in the covariant quark model. 
  
  Contribution to the anomalous magnetic moment of a muon due to the hadronic light-by-light scatter-ing in the leading and next-to-leading orders in the 1/N_c parameter will be calculated. Contribution of light mesons into the hyperfine structure of muonic hydrogen will be obtained.
  
  Properties of axial-vector mesons f₁, a₁ and K₁ in the ground and radially excited states will be studied, as well as their strong and electromagnetic decays and production in e ⁺e ^- colliding beams and decays of tau-lepton.
  
  Masses and decay constants of exotic glueballs within the QCD sum rules will be obtained. Dynamics of glueballs with the use of the strong coupling expansion of the SU(3) Yang-Mills Hamiltonian in the flux-tube gauge will be studied. Multiquark hadrons and the existence of extraordinary dibayons will be studied. 
  
  Two-loop contributions to the Moeller scattering and the Drell-Yan processes will be calculated within the frames of the Standard Model will be calculated. Estimate of radiative corrections in proton-antiproton annihilation into a lepton pair and a pair of mesons for the PANDA facility. 
  
  A numerical method for calculating the Feynman one-loop self-energy diagram for a bound electron in the two-center problem in the Furry representation will be developed. 
  
  Systematic study of the contributions due to intermediate excited scalar, vector, and axial-vector meson states in low-energy electron-positron annihilation and tau lepton decays. 
  
  Elaboration of theoretical predictions for the physical program of the Super Charm-Tau Factory in Novosibirsk.
  
  Calculation of electroweak radiative corrections to processes which will be studied at the future high-energy electron-positron colliders with polarized beams. Participation in the theoretical analysis of the LHC Run-II data on high-precision tests of the Standard Model.
  
  QCD analysis of new experimental data from LHC and other facilities on polarized and unpolarized nucleon structure and fragmentation functions.
  
  Studies of phase transitions and other properties of the hadronic matter in compact stars with the help off effective low-energy QCD models.
  
  Calculation of various light-meson contributions to the hyperfine structure of muonic hydrogen, the muon anomalous magnetic moment, and other observables measured with a high precision. 
  
  Studies pertaining to the QCD vacuum and QCD phase diagram (also in the presence of a strong bymagnetic field): the role of strangeness and multiquark interactions in the characteristics of the low lying meson nonets, in the freeze-out region of relativistic heavy-ion experiments, in the position of the critical end point, and in the regime of dense matter relevant for compact stars. 
  
  Studies of the high-density equations of state and mass-radius observations for compact stars and mul-ti-polytrope approach to a strong first-order phase transition that produces high-mass twin stars as an observable signature of it. 
  
  
• Study of the properties of superdense baryon matter through lattice simulation of two-color QCD with the nonzero chemical potential. Calculation of the baryon density, diquark condensate and chiral condensate and their dependence on the chemical potential. 
  
  Lattice simulation and study of QCD at the nonzero density and magnetic field.
  Study of the equation of state of dense quark-gluon plasma in the magnetic field. 
  
  Study of transport coefficients of quark-gluon plasma within lattice simulation. Calculation of the electric conductivity and temperature dependence within lattice simulation of QCD with 2+1 dynamical quarks. 
  
  Investigation of the quark deconfinement and chiral symmetry restoration at finite temperature in the presence of the strong electromagnetic field within the Lattice QCD with overlap fermions, in particular, a catalysing role of the electromagnetic field for deconfinement. The impact of the strong electromagnetic field on monopoles and instantons will be investigated in detail. 
  
  Participation (continuation) in the tmfT Collaboration (finite temperature with twisted mass fermions in lattice QCD) aimed at description of the quark-gluon thermodynamics including strange and charmed quarks and consideration of new observables indicating the crossover.
  Study of the properties of the Quark Gluon Plasma using Lattice QCD Computations using twisted mass fermions (temperature dependence of topological susceptibility and topological structure, gluon propagators and spectral functions, localization, mobility and nature of chiral symmetry restoration).
  
  Study of particle number fluctuations and fluctuations of the isosipn composition in hot and dense interacting pion gas in the grand canonical and canonical descriptions with the allowance for the finiteness of the system.
  
  Investigation of the Bose-Einstein condensation in the nonideal pion gas with a dynamically fixed number of particles.
  
  Study of particle production in heavy-ion collisions using the hybrid hydrodynamical model and transport models (HSD, PHSD) with an emphasis on spin dependent observables. 
  Polarization observables for doubly strange particles will be investigated.
  
  Calculation of neutrino production rates in neutron star medium including in-medium changes of nucleon properties and the nucleon-nucleon interaction in various approaches. 
  
  Study of the role of viscosity effects at the hydrodynamic stage of the system evolution for the multiplicity of created particles and the transverse momentum spectra, rapidity distributions as well as transverse momentum spectra of identified hadrons produced in the NICA energy range. 
  
  Analytical calculation (continuation) of the ultrarelativistic transverse momentum distributions for the Tsallis-3 and Renyi statistics.
  
  Study of the confining properties of the statistical ensemble of domain wall networks representing nonperturbative QCD vacuum using the methods of analytical and numerical multidimensional integration.
  
  Investigation of the impact of the long and intermediate range collective chromomagnetic fields on the direct photons and dilepton production in relativistic heavy ion collisions. 
  
  
• Study of ionization of atoms in beta-decay for the energies of the knocked out electrons, comparable to the energies of ionization of atoms (about 10 eV). 
  Study of the charge distribution of the final atoms and consideration in detail of the atomic shell effects for the MUNU and GEMMA experiments.
  
  The first forbidden beta decay of certain nuclei of interest will be calculated for the interpretation of data taken from SuperNEMO, CUORE, etc. Uncertainties in the spectrum of reactor neutrinos will be revised with account taken of the first forbidden beta decays of nuclei. 
  
  The global statistical analysis of the data on exclusive and inclusive interactions of neutrino and antineutrino with nuclei at intermediate and high energies, including the most recent results of the experiments MiniBooNE, MINERvA, T2K, MicroBooNE, NOvA etc. will be continued.
  
  Investigation of the process of radiation of a neutrino pair that allows one to observe the violation of the conservation of L in electronic shells using laser spectroscopy methods. 
  
  Features of the flavor neutrino transitions at short macroscopic distances will be investigated. This regime is caused by the off-shell behavior of the neutrino propagator; it arises in a covariant field-theoretical theory of neutrino oscillations and has no analogue in the standard quantum-mechanical approach. Possible experimental manifestation of this unusual regime of the neutrino oscillations will be discussed. 
  
  Our work on optimization of the Monte Carlo neutrino generator GENIE ? the most popular tool for modeling and data processing used by essentially all current accelerator experiments on neutrino interactions with matter will be continued. The work on the detailed User Guide for the 3.0.0 release of the GENIE package is planned to be accomplished.