Abstract

The top quark, the heaviest quark and, indeed, the heaviest elementary particle known today, constitutes a novel probe of the long-lived medium in quark-gluon phase which, as expected, can be produced even in light nuclei collisions at ultra-high energies. Some distinctive features are considered for particle production in the top sector in ultra-high energy domain. The antitop-top pair production is studied within the quantum chromodynamics and effective field theory approach used for calculations of total partonic cross sections. Predictions for all observables are computed at NNLO in quantum chromodynamics and at LO in effective field theory. These quantitative results can be important for both the future collider experiments at center-of-mass energy frontier and the improvement of the phenomenological models for development of the cosmic ray cascades in ultra-high energy domain. Thus the study allows the better understanding of heavy particle production and emphasizes the exciting interrelation between the high-energy physics on accelerators and ultra-high energy cosmic ray measurements.

Highlights

  • Among the most challenging problems for the modern physics of fundamental interactions is search for the physics beyond the Standard Model (SM) and the study of the deconfined quark–gluon matter under extreme conditions called quark-gluon plasma (QGP) which can be created in subatomic particle collisions at high enough energies.A complete description of any physics beyond the SM requires a new fundamental theory.From a quantum field theory (QFT) perspective potential deviations from the SM expectations can be naturally described within the framework of the effective field theory (EFT)

  • The antitop-top pair production is studied within the quantum chromodynamics and effective field theory approach used for calculations of total partonic cross sections

  • [19, 23] allow the qualitative expectation the total inclusive ttproduction cross section (3) at NNLO to be at level around or in order of magnitude 0.1 μb for the highest Ep ≃ 1020 −1020.5 eV

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Summary

Introduction

Among the most challenging problems for the modern physics of fundamental interactions is search for the physics beyond the Standard Model (SM) and the study of the deconfined quark–gluon matter under extreme conditions called quark-gluon plasma (QGP) which can be created in subatomic particle collisions at high enough energies. The study of t behavior in hot environment created at ultra-high energies opens a unique possibility for investigation of a pre-equilibrium stages of space-time evolution of QGP. In this case h and t can be considered as a hard probe of the properties of strongly interacting matter under extreme quarks in heavy ion interactions conditions. Circular Collider (FCC) project [11] up to the O(1 PeV) which are close to the right boundary of the energy domain for the Greisen–Zatsepin–Kuzmin limit [12, 13] in order of magnitude

Formalism for top pair production
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