QFT and BeyondNo Access

Fragmentation in the $ϕ^{3}$ theory and the LPHD hypothesis

K. Urmossy

MTA Wigner RCP RMI, Budapest POB 49, H-1525, Hungary

E-mail Address: karoly.uermoessy@cern.ch

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and

J. Rak

University of Jyvaskyla, 9 Survontie Str., Jyvaskyla, Finland, FI-40014, Finland

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https://doi.org/10.1142/S0217751X16450457Cited by:1 (Source: Crossref)

Abstract

We present analytic solution of the Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) equation at leading order (LO) in the $ϕ^{3}$ theory in 6 space-time dimensions. If the $ϕ^{3}$ model was the theory of strong interactions, the obtained solution would describe the distribution of partons in a jet. We point out that the local parton-hadron duality (LPHD) conjecture does not work in this hypothetical situation. That is, treatment of hadronisation of shower partons is essential for the description of hadron distributions in jets stemming from proton-proton (pp) collisions at $\sqrt{s} = 7$ TeV and from electron-positron ( $e^{+} e^{-}$ ) annihilations at various collision energies. We use a statistical model for the description of hadronisation.

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References

1. K. Urmossy, G. G. Barnafoldi and T. S. Biro, Generalised Tsallis Statistics in Electron-Positron Collisions, Phys. Lett. B701, 111 (2011). Web of Science, ADS, Google Scholar
2. K. Urmossy, G. Barnafoldi and T. Biro, Generalised microcanonical statistics and fragmentation in electron-positron collisions, Acta Phys. Polon. Supp. 5, 363 (2012). Google Scholar
3. K. Urmossy, G. Barnafoldi and T. Biro, Microcanonical Jet-Fragmentation in Proton-Proton Collisions at LHC Energy, Phys. Lett. B718, 125 (2012). Web of Science, ADS, Google Scholar
4. G. G. Barnafoldi, T. S. Biro, K. Urmossy and G. Kalmar, Tsallis-Pareto-like distributions in hadron-hadron collisions, in Gribov-80, eds. Y. L. Dokshitzer, P. Lévai and J. Nyiri (World Scientific, 2011). Link, Google Scholar
5. S. Albino, B. Kniehl and G. Kramer, Fragmentation functions for light charged hadrons with complete quark flavor separation, Nucl. Phys. B725, 181 (2005). Web of Science, ADS, Google Scholar
6. Y. L. Dokshitzer, Calculation of the structure functions for deep inelastic scattering and e $^{+}$ –e $^{-}$ annihilation by perturbation theory in quantum chromodynamics., Sov. Phys. JETP 46, 641 (1977). ADS, Google Scholar
7. V. Gribov and L. Lipatov, Deep inelastic e p scattering in perturbation theory, Sov. J. Nucl. Phys. 15, 438 (1972). Web of Science, Google Scholar
8. G. Altarelli and G. Parisi, Asymptotic freedom in parton language, Nucl. Phys. B126, 298 (1977). Web of Science, ADS, Google Scholar
9. Y. L. Dokshitzer, V. A. Khoze, A. H. Mueller and S. I. Troian, Basics of perturbative QCD (Ed. Frontieres, 1991). Google Scholar
10. M. Grazzini, Semiinclusive DIS: An Explicit calculation in the target fragmentation region, Nucl. Phys. Proc. Suppl. 64, 147 (1998). ADS, Google Scholar
11. V. V. Begun, M. Gazdzicki and M. I. Gorenstein, Particle spectra in statistical models with energy and momentum conservation, Acta Phys. Polon. B43, 1713 (2012). Web of Science, Google Scholar
12. V. V. Begun, M. Gazdzicki and M. I. Gorenstein, Power law in micro-canonical ensemble with scaling volume fluctuations, Phys. Rev. C78, 024904 (2008). ADS, Google Scholar
13. C. Bignamini, F. Becattini and F. Piccinini, A Monte-Carlo generator for statistical hadronization in high energy e $^{+}$ e $^{-}$ collisions, Eur. Phys. J. C72, 2176 (2012). Web of Science, ADS, Google Scholar
14. F.-M. Liu and K. Werner, Microcanonical pentaquark production in e $^{+}$ –e $^{-}$ annihilations, Phys. Rev. D74, 034024 (2006). ADS, Google Scholar
15. M. Rybczyński and Z. Włodarczyk, Imprints of energy limitation in transverse momentum distributions of jets, Eur. Phys. J. A51, 80 (2015). Web of Science, ADS, Google Scholar
16. G. Aad et al., Measurement of the jet fragmentation function and transverse profile in proton-proton collisions at a center-of-mass energy of 7 TeV with the ATLAS detector, Eur. Phys. J. C71, 1795 (2011). Web of Science, ADS, Google Scholar
17. G. Aad et al., Properties of jets measured from tracks in proton-proton collisions at center-of-mass energy $\sqrt{s} = 7$ TeV with the ATLAS detector, Phys. Rev. D84, 054001 (2011). ADS, Google Scholar
18. W. Braunschweig et al., Global jet properties at 14-GeV to 44-GeV center-of-mass energy in $e^{+} e^{-}$ annihilation, Z. Phys. C47, 187 (1990). Google Scholar
19. H. Aihara, Charged-hadron inclusive cross sections and fractions in $e^{+} e^{-}$ annihilation at $\sqrt{s} = 29$ GeV, Phys. Rev. Lett. 61, 1263 (Sep 1988). Web of Science, ADS, Google Scholar
20. P. Abreu et al., Determination of alpha-s from the scaling violation in the fragmentation functions in e $^{+}$ –e $^{-}$ annihilation, Phys. Lett. B311, 408 (1993). Web of Science, ADS, Google Scholar
21. R. Akers et al., Measurement of the longitudinal, transverse and asymmetry fragmentation functions at LEP, Z. Phys. C68, 203 (1995). ADS, Google Scholar
22. G. Alexander et al., QCD studies with e $^{+}$ –e $^{-}$ annihilation data at 130 GeV and 136 GeV, Z. Phys. C72, 191 (1996). ADS, Google Scholar
23. G. Abbiendi et al., QCD studies with e $^{+}$ –e $^{-}$ annihilation data at 172-GeV–189-GeV, Eur. Phys. J. C16, 185 (2000). Web of Science, ADS, Google Scholar
24. G. Abbiendi et al., Charged particle momentum spectra in e $^{+}$ –e $^{-}$ annihilation at $\sqrt{s} = 192$ GeV to 209 GeV, Eur. Phys. J. C27, 467 (2003). ADS, Google Scholar