Abstract

The global properties of the final states produced in hadronic interactions of protons at centre-of-mass energies of future hadron colliders (such as FCC-hh at CERN, and SppC in China), are studied. The predictions of various Monte Carlo (MC) event generators used in collider physics (PYTHIA 6, PYTHIA 8, and PHOJET) and in ultrahigh-energy cosmic-rays studies (EPOS, and QGSJET) are compared. Despite their different underlying modeling of hadronic interactions, their predictions for proton-proton (p-p) collisions at $\sqrt{s}$ = 100 TeV are quite similar. The average of all MC predictions (except PHOJET) for the different observables are: (i) p-p inelastic cross sections $\sigma_{\rm inel}$ = 105 $\pm$ 2 mb; (ii) total charged multiplicity $\rm N_{_{\rm ch}}$ = 150 $\pm$ 20; (iii) charged particle pseudorapidity density at midrapidity $\rm dN_{ch}/d\eta|_{\eta=0} = 9.6 \pm 0.2$; (iv) energy density at midrapidity $\rm dE/d\eta|_{\eta=0} = 13.6 \pm 1.5$ GeV, and $\rm dE/d\eta|_{\eta=5} = 670 \pm 70$ GeV at the edge of the central region; and (v) average transverse momenta at midrapidities $\rm < p_{T}> = 0.76 \pm 0.07$ GeV/c. At midrapidity, EPOS and QGSJET-II predict larger per-event multiplicity probabilities at very low ($\rm N_{\rm ch}<3$) and very high ($\rm N_{\rm ch}>100$) particle multiplicities, whereas PYTHIA 6 and 8 feature higher yields in the intermediate region $\rm N_{\rm ch}\approx$ 30--80. These results provide useful information for the estimation of the detector occupancies and energy deposits from pileup collisions at the expected large FCC-hh/SppC luminosities.

Highlights

  • (PDFs) and matrix elements for the underlying parton-parton collisions subprocesses

  • The global properties of the final states produced in hadronic interactions of protons at centre-of-mass energies of future hadron colliders, are studied

  • The predictions of various Monte Carlo (MC) event generators used in collider physics and in ultrahighenergy cosmic-rays studies are compared

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Summary

Theoretical setup

The basic ingredients of the pythia 6 and 8 event generators are leading-order (LO) pQCD 2 → 2 matrix elements, complemented with initial- and final-state parton radiation (ISR and FSR), folded with PDFs (interfaced here via the lhapdf v6.1.6 package [36]), and the Lund string model for parton hadronization. The RFT-based models used in this work differ in various approximations for the collision configurations (e.g. the distributions for the number of cut Pomerons, and for the energy-momentum partition among them), the treatment of diffractive and semihard dynamics, the details of particle production from string fragmentation, and the incorporation or not of other final-state effects (table 2). For√the minijet production cutoff, phojet uses dependence of the form Q0(s) ∼ Q0 + C · log( s), whereas epos and qgsjet-ii use a fixed value of Q0 The latter MC resums dynamically low-x effects through enhanced diagrams corresponding to multi-Pomeron interactions [23, 46, 47]. No requirement on the minimum pT of the particles is applied in any of the results presented

Inelastic p-p cross section
Particle pseudorapidity density
Energy pseudorapidity density
Multiplicity distribution
Transverse momentum distribution
Summary

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