Due to the lack of statistically reliable manifestations of effects beyond the Standard Model (SM) in experiments at the LHC, special attention is paid to the construction of an effective field theory in which deviations from the SM are parameterized by a certain set of gauge-invariant local operators with a dimension greater than four. The main features and modern status of this approach, called the Standard Model of Effective Field Theory (SMEFT), are discussed briefly.

Collective effects are reviewed for collisions of various systems – from proton-proton to heavy ion – in wide energy range. Collectivity is one of the crucially important and most essential fea-tures in reactions with subatomic particles due to strong interaction. As consequence, a study of collective behavior in multiparticle production processes provides one of the most sensitive and promising probes for detailed investigation of basis features of strong interaction. Recent exper-imental results obtained at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) are considered. Hadron jets being one of the most famous collective effects in strong interaction are intensively study in various collisions [1]. In proton-proton interactions such studies devote to the better understanding of hadronization, precise determination of strong coupling constant, parameters of top quark and its production [2], verification of the predictions of Quantum Chromodynamics (QCD) in events with different topology, search for the physics beyond of Standard Model (SM), in particular, within Effective Field Theory (EFT) approach [3, 4] for top quark sector [2, 5–8]. Investigations of different nuclear collisions focus on exploration of the phase diagram of strongly interacting matter, particularly, on detailed study of properties of quark-gluon matter under extreme conditions considered presently as the strongly coupled quark-gluon plasma (sQGP). Results at RHIC [9] and LHC [10–12] energies provide important information about event shapes as well as transport and thermodynamics properties of the hot medium for various flavors. Measurements show clearly the collective behavior of heavy quarks in nucleus-nucleus interactions. Studies of jets in strongly interacting environment via correlations of different particles including heavy hadrons lead to new constraints for energy loss models, allow the search of the new physics signatures with heavy-ion collisions. First results have been obtained at the LHC for massive gauge bosons and antitop-top pair production in proton-nuclear and heavy ion collisions at multi-TeV energies. The surprising sQGP-like collectivity has been observed in collision systems smaller than even moderate nuclei, especially, at the LHC energies. Experimental results obtained for discrete symmetries of QCD at finite temperatures confirm indirectly the topologically non-trivial structure of QCD vacuum [13–17]. Such investigations are important for the decision of the problems of CP invariance of the strong interaction and baryon asymmetry of Universe. In the soft sector of the strong interaction one can expect some novel mechanisms for multiparticle production due to collectivity in very high energy nuclear collisions, in particular, increasing of coherent particle production. The investigation of Bose–Einstein condensation (BEC) will shed new light on the nature of superfluidity of strongly interacting matter which is the one of the fundamental properties of sQGP, on the possibility of laser-like regime for pion production at very high energies [18]. Studies of collective effects in strong interaction processes provide new important results for relativistic astrophysics, cosmology and cosmic ray physics. The recent measurements of femtoscopic correlations allow, in particular, the indirect estimations for parameters of hyperon–nucleon potentials. The new constrains for these potentials will make model predictions more reliably for compact astrophysical objects [19–23]. Studying the possible BEC effect on the pion yield at very high energies [24] can be considered one of perspective research directions for better understanding of the nature of the muon puzzle in ultra-high energy cosmic ray (UHECR) measurements [25–27]. Therefore collective effects in strong interaction processes studied on accelerator facilities are important for various fields of fundamental physics and investigation of the effects has large interdisciplinary value.

References
[1] V. A. Okorokov, Int. J. Mod. Phys. A 27, 1250037 (2012).
[2] U. Husemann, Prog. Part. Nucl. Phys. 95, 48 (2017).
[3] S. Willenbrock and C. Zhang, Annu. Rev. Nucl. Part. Sci. 64, 83 (2014).
[4] E. E. Boos, Phys. Usp. 65, 653 (2022).
[5] C. Zhang and S. Willenbrock, Phys. Rev. D 83, 034006 (2011).
[6] I. Brivio et al., JHEP 2002, 131 (2020).
[7] S. Bißmann et al., JHEP 2106, 010 (2021).
[8] V. A. Okorokov, J. Phys.: Conf. Ser. 1690, 012006 (2020); Phys. At. Nucl. 86, 742 (2023).
[9] V. A. Okorokov, Phys. At. Nucl. 72, 147 (2009); Proc. of the HEPFT2014. Eds. V. Petrov and R. Ryutin. World Scientific, Singapore (2015), p. 189; Eur. Phys. J. Web of Conf. 158, 01004 (2017).
[10] ALICE Collaboration, arXiv: 2211.04384 [nucl-ex].
[11] G. Aad et al. (ATLAS Collaboration), arXiv: 2404.06829 [hep-ex].
[12] A. Hayrapetyan et al. (CMS Collaboration), arXiv: 2405.10785 [hep-ex].
[13] D. E. Kharzeev, Annals Phys. 325, 205 (2010).
[14] V. A. Okorokov, Phys. At. Nucl. 80, 1133 (2017).
[15] J. Zhao and F. Wang, Prog. Part. Nucl. Phys. 107, 200 (2019).
[16] W. Li and G. Wang, Annu. Rev. Nucl. Part. Sci. 70, 293 (2020).
[17] D. E. Kharzeev and J. Liao, Nature Rev. Phys. 3, 55 (2021).
[18] V. A. Okorokov, Adv. High Energy Phys. 2016, 5972709 (2016); Phys. At. Nucl. 82, 838 (2019).
[19] M. Oertel et al., Rev. Mod. Phys. 89, 015007 (2017).
[20] G. Baym et al., Rep. Prog. Phys. 81, 056902 (2018).
[21] L. Baiotti, Prog. Part. Nucl. Phys. 109, 103714 (2019).
[22] F. J. Llanes-Estrada and E. Lope-Oter, Prog. Part. Nucl. Phys. 109, 103715 (2019).
[23] J. M. Lattimer, Annu. Rev. Nucl. Part. Sci. 71, 433 (2021).
[24] V. A. Okorokov, Phys. At. Nucl. 87, 172 (2024).
[25] S. Mollerach and E. Roulet, Prog. Part. Nucl. Phys. 98, 85 (2018).
[26] L. A. Anchordoqui, Phys. Rep. 801, 1 (2019).
[27] M. Kachelrieẞ and D. V. Semikoz, Prog. Part. Nucl. Phys. 109, 103710 (2019).

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Inclusive processes at high energies are studied in a non-perturbative
approach in QCD using a modified Quark-Gluon String Model. Theoretical and
experimental aspects of diffraction dissociation are especially discussed.
In the calculations of cross sections, the parameters of complex nonlinear
trajectories of Pomeranchuk and Reggeons are used. Particular attention
is paid to elastic and inelastic processes at LHC energies.

At present, production, properties, and decays of exotic multiquark hadrons --- tetra- and pentaquarks are intensively studied both experimentally and theoretically.
Based on the $SU(3)_F$ flavor symmetry, there is a large number of such states which differ by their light quark content. Having already a 20-years' history, quite a few exotic hadrons are found experimentally despite predicted rich amount.
Many interesting and unexpected results have been obtained and some of them related to doubly-heavy tetra- and pentaquark states are discussed in this talk.

The rare decay process of the Higgs boson into a pair of J/Ψ and ϒ particles is studied within the perturbative Standard Model and the relativistic quark model. We study also the processes of single and paired production of lepton bound states (positronium, dimuonium, ditauonium) within the framework of the relativistic approach we are developing [1-5]. The relativistic corrections connected with the relative motion of heavy quarks and leptons are calculated in the production amplitude and the wave functions of the bound states. Numerical values of the decay widths of the Higgs boson are obtained, which can be used for comparison with future experimental data.

A.P. Martynenko, F.A. Martynenko, Paired Double Heavy Baryons Production in Decays of the Higgs Boson //Symmetry. – 2023. – V. 15. –No.10. – P. 1944.
A.P. Martynenko, F.A. Martynenko, Relativistic Corrections to the Higgs Boson Decay into a Pair of Vector Quarkonia //Symmetry. – 2023. – V. 15. –No. 2. – P. 448.
R.N. Faustov, A.P. Martynenko, F.A. Martynenko, Relativistic corrections to paired production of charmonium and bottomonium in decays of the Higgs boson //Physical Review D. – 2023. – V. 107. –No.. 5. – P. 056002.
R.N. Faustov, F.A. Martynenko, A.P. Martynenko, Higgs boson decay to the pair of S-and P-wave Bc mesons //The European Physical Journal A. – 2022. – V. 58. –No. 1. – P. 4.
F. A. Martynenko, A. P. Martynenko and A. V. Eskin, Production of dileptonic bound states in the Higgs boson decay, http://arxiv.org/abs/2405.00829v1.

Gravitational formfactors describe the (angular) momentum distribution in hadrons as well as their coupling to gravity. The equivalence principle may be extended to be valid separately for quarks and gluons. The small violation of such an extension may be related to the analog of shear viscosity contribution and be a counterpart of its smallness.

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Discussion leader TBA

In this report the influence of relativistic rotation on QCD
properties will be considered. I am going to review the results that
were obtained within lattice simulation of QCD. It has become
commonplace to perform such studies in the reference frame rotating
with the system under investigation. In this case there appears the
gravitational field and the problem is reduced to study of QCD in this
external gravitational field. Within the report the following topics
will be reviewed. The influence of relativistic rotation on the QCD
critical temperatures. Equation of state of rotating QCD and the
moment of inertia of quark-gluon plasma. Inhomogeneous phase
transitions in rotating quark-gluon plasma.

After a historical introduction I will review progress in description of the pion degrees of freedom in equilibrium and nonequilibrium nuclear matter. Effects of the softening of the pion mode and pion condensation will be considered. Applications to such nuclear systems as atomic nuclei, neutron stars, heavy-ion collisions, and hypothetical nuclear systems will be discussed.

References

D.N. Voskresensky,``Pion Softening and Pion Condensation,''
Phys. Atom. Nucl. 83 (2020) no.2, 188-202

D.N. Voskresensky, ``Many particle effects in nucleus nucleus collisions,''
Nucl. Phys. A 555 (1993), 293-328

D.N. Voskresensky,``S-wave pion condensation in symmetric nuclear matter,''
Phys. Rev. D 105 (2022) no.11, 116007

D.N. Voskresensky, ``Pion-sigma meson vortices in rotating systems,''
Phys. Rev. D 109 (2024) no.3, 034030

D.N. Voskresensky, `` Pion degrees of freedom in nuclear matter, from 1971 till tomorrow".

I will compare the main confinement mechanisms in QCD, confinement by magnetic monopoles and by quantised magnetic flux tubes, vortices. Then, I will concentrate on problems with the detection of vortices. A further interesting question concerns the relation to the spontaneous breaking of chiral symmetry.

...

The Multi-Purpose Detector (MPD) is the main experiment at the Nuclotron-base Ion Collider fAcility (NICA) focusing on heavy ion physics. It covers the energy range sNN−−−−√=4−11 GeV in collider mode and sNN−−−−√=2.4−3.5 GeV in fixed target mode, allowing us to study the high baryon chemical potential region of the QCD phase diagram where the first-order phase transition and the onset of the critical endpoint are predicted. The commissioning of the MPD and the first xenon beam data are expected in 2025. The physics program of the MPD includes the study of hadron spectra and hypernucleus production, collective flow, correlations and fluctuations, hyperon global polarization, electromagnetic probes, and open charm production. In this talk, the general status of the project as well as the results of the feasibility studies will be presented.

...

The most valuable task for high-energy physics at future colliders is the study of the Standard Model features in detail. That is required to resolve crucial problems of this model including the origin of the spontaneous symmetry breaking, the metastability of the Higgs boson vacuum, the symmetry and mass hierarchy of three fermion generations, etc. High statistics and advanced experimental accuracy at future Z factories can provide a substantially new level of the SM verification [1]. The physical program of such factories extends the studies performed at LEP because of higher statistics, modern detectors and advanced analysis techniques. All that challenges theory to provide adequately accurate SM predictions. Those challenges and some recent developments are discussed. ReneSANCe [1] Monte Carlo event generator and MCSANC [3] integrator presented. They are developed for high-precision studies of electroweak physics at future electron-positron colliders.

[1] A. Blondel, J. Gluza, S. Jadach et al., CERN Yellow Reports: Monographs 3/2019; arXiv:1809.01830 [hep-ph].
[2] R. Sadykov, V. Yermolchyk, Comput. Phys. Commun. 256 (2020), 107445.
[3] S.G. Bondarenko, A.A. Sapronov, Comput. Phys. Commun. 184 (2013), 2343-2350.

Posters will be discussed during all the conference and this session. Also you will find printed version at the conference site.

In this report a new Model of the hadronization process is presented. It is based on the mechanism of fragmentation of relativistic Nambu-Goto strings with massive quarks at the end-points. To steer the fragmentation process, the area decay law is used.

Modern string-based hadronization models (like in PYTHIA or EPOS LHC) operate with initially point-like strings, which significantly constraints the possibility to consider new mechanisms that take part in hadronic interactions at high energies.

The new Model, called ATROPOS, uses, however, the so-called generalized initial conditions that define the string at the moment of creation. This also allows (for the first time ever!) to implement the total angular momentum conservation during hadronization.

The usage of the modified Nambu-Goto action that considers the mass of heavy quarks at the string end-points allows to derive the fragmentation of heavy c- and b-quarks from the first principles of the theory and does not require any approximations or phenomenology.

Along with Model description, first results of the simulation of hadronization in ee->qqbar events are presented.

We consider the processes q\to W{+}\,q' and q\to Z{+}\,q and derive the respective
fragmentation functions as functions of two kinematic variables: the longitudinal
momentum fraction z and transverse momentum p_T of the produced bosons with
respect to the parent quark. We take into account kinematic (phase space)
restrictions connected with nonzero masses of the gauge bosons and with limited
initial energy. We separately consider three different polarization states of
the bosons.

The field distribution of mass and charge according to Shannon's law of information transfer allows us to reinterpret the phenomenon of long-range interaction in nonlocal self-organization of continuous densities of matter (doi.org/10.3390/particles6010007 ; doi.org/10.1080/14685248.2021.1953698). Correlations of tensor stresses in continuous material space are instantaneous, as is the reduction of the wave function for macro-quantum entanglement after the appearance of dissipation. The implications of the rejection of Einstein's and Maxwell's theories by the dual model of particle and its fields are discussed. For QCD, the referents of information theory and the consistent transition to the monistic unity of field matter without the void can also be expected.

Introduction
Landau Functional of QCD
Anomalous Massless QCD with Axial Anomaly
Effects of Light Quark Mass
Effects of Finite Chemical Potential
Conclusion

Discussion leaders
Oleg Teryaev (JINR, Dubna) &
Vitaly Bornyakov (Logunov IHEP, NRC KI, Protvino)

Various perturbative and nonperturbative approaches to Pomeron in QCD are briefly discussed.

Odderon is the C-odd amplitude which does not die out (or die very slowly) with energy. We consider the constrains on the Odderon properties and the
perturbative QCD odderon given at the lowest $\alpha_s$ order by the three gluon exchange. Then we discuss the experimental indications for the odderon
contribution to high energy proton-proton elastic scattering and some other processes in which the odderon may reveal itself.

References

ATLAS Collaboration, G. Aad et al., Eur. Phys. J. C 83, 441 (2023).

Odderon contribution in light of the LHC low-tt data ,
E.G.S. Luna, M.G. Ryskin, V.A. Khoze, e-Print:2405.09385 [hep-ph]

The possible oscillations phenomena in the elastic hadron scattering at high energies are discussed. The analysis of experimental data carried out with some potentials has allowed to receive the parameters of potential and to describe being available oscillations in the differential cross sections. An analysis of dσ/dt of LHC data, carried out without model assumptions, showed the existence of a new effect in the behavior of the hadron scattering amplitude at small momentum transfer at high confidence level.

1. O.V. Selyugin, Ukr.J. of Physics, v.41, (1996), 296.
2. p. Gauron, B. Nicolescu, O.V. Selyugin, Phys. Lett. B 390 (1997) 405.
3. O.V. Selyugin, Phys. Lett., B 797 134870 (2019).

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The soft and hard QCD processes are analyzed by ALICE, ATLAS and CMS experiments using samples of proton-proton and AA collisions collected by the LHC at different energies. Measurements of jet production rates, jet properties, particle multiplicity, particle momentum spectra and correlations are presented.
The results are compared to predictions of theoretical models at leading- and next-to-leading orders of QCD. The data in combination with HERA and CMS and
ATLAS results are used to measure the strong coupling constant and for PDF constraints.

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Discussion leader:
V. A. Petrov (Logunov IHEP, NRC KI, Protvino)