Unconventional Mechanisms of Heavy Quark Fragmentation
Abstract
:1. Introduction
Radiational Energy Loss in Vacuum
- (i)
- Light quarks: .
- (ii)
- Heavy quarks: .
2. Production Length
3. Fragmentation in a Dense Medium
3.1. Formation Length of a Meson
3.2. Attenuation of Dipoles Propagating in a Dense Medium
3.3. Medium Modified Production Rate
3.4. Data Analysis
4. Summary
- Heavy and light quarks originated from hard collisions radiate differently. The former is subject to the dead-cone effect, suppressing radiation of low- gluons. Consequently heavy quarks regenerate their color field much faster than light ones and radiate a significantly smaller fraction of the initial energy. The heavier is a quark, the less it radiates.
- The fragmentation function usually depends on two variables , fractional light-cone momentum of produced meson, and the scale . However, we consider here the case of “maximal” scale, when the jet energy and the hard scale coincide. This happens e.g., in annihilation, or high- jet production at Feynman .
- The dead-cone effect suppressing bremsstrahlung of heavy quarks, explains the unusual shape of the fragmentation function of heavy quarks , observed at LEP and SLAC. It peaks at large fractional momentum z, i.e., the produced heavy–light mesons, B or D, carry the main fraction of the jet momentum. On the contrary, the fragmentation function of light quarks is falling steadily with z towards .
- Differently from propagation of a small dipole, which survives in the medium due to color transparency, a dipole promptly expands to a large transverse size, controlled by the small mass of the light quark. Such a big dipole has no chance to remain intact in a hot medium. On the other hand, a breakup of such a dipole hardly affects the production rate of mesons.
- We successfully described data on and centrality dependence of the production rate of B and D mesons in heavy ion collisions. The only unavoidable parameter of such analyses is the broadening rate (usually called transport coefficient) of the quark in the medium. Its maximal value was found 0.2–0.25 GeV2/fm, 0.4–0.45 GeV2/fm and 2 GeV2/fm for b, c and light quarks respectively. Such hierarchy of the broadening rates is related to the same dead-cone effect. Suppression of bremsstrahlung leads to a considerable reduction of broadening.
Author Contributions
Funding
Conflicts of Interest
References
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Kopeliovich, B.; Nemchik, J.; Potashnikova, I.; Schmidt, I. Unconventional Mechanisms of Heavy Quark Fragmentation. Universe 2023, 9, 418. https://doi.org/10.3390/universe9090418
Kopeliovich B, Nemchik J, Potashnikova I, Schmidt I. Unconventional Mechanisms of Heavy Quark Fragmentation. Universe. 2023; 9(9):418. https://doi.org/10.3390/universe9090418
Chicago/Turabian StyleKopeliovich, Boris, Jan Nemchik, Irina Potashnikova, and Ivan Schmidt. 2023. "Unconventional Mechanisms of Heavy Quark Fragmentation" Universe 9, no. 9: 418. https://doi.org/10.3390/universe9090418