dorsal/arxiv
View SchemaMultiple Collisions and Induced Gluon Bremsstrahlung in QCD
| Authors | Mikols Gyulassy, Xin-Nian Wang |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9306003 |
| URL | https://arxiv.org/abs/nucl-th/9306003 |
| DOI | 10.1016/0550-3213(94)90079-5 |
| Journal | Nucl.Phys.B420:583-614,1994 |
Abstract
Induced soft gluon bremsstrahlung associated with multiple collisions is calculated via perturbative QCD. We derive the non-abelian analog of the Landau-Pomeranchuk effect that suppresses induced soft radiation with formation times exceeding the mean free path, $\lambda$. The dependence of the suppression effect on the $SU(N)$ representation of the jet parton as well as the kinematic variables is expressed through a radiation formation factor. Unlike in QED, the finite contribution from the small $x$ regime in QCD leads to an approximately constant radiative energy loss per unit length, $dE/dz\propto \mu^2$, in the high energy limit that is sensitive to the infrared screening scale, $\mu$, of the medium. As a function of the dimensionless parameter $\zeta=\lambda \mu^2/E$, we show furthermore how the energy dependence of $dE/dz$ evolves from the above constant for $\zeta\ll 1$ to the more familiar (Bethe-Heitler) linear dependence for $\zeta \gg 1$.
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"abstract": "Induced soft gluon bremsstrahlung associated with multiple collisions is\ncalculated via perturbative QCD. We derive the non-abelian analog of the\nLandau-Pomeranchuk effect that suppresses induced soft radiation with formation\ntimes exceeding the mean free path, $\\lambda$. The dependence of the\nsuppression effect on the $SU(N)$ representation of the jet parton as well as\nthe kinematic variables is expressed through a radiation formation factor.\nUnlike in QED, the finite contribution from the small $x$ regime in QCD leads\nto an approximately constant radiative energy loss per unit length,\n$dE/dz\\propto \\mu^2$, in the high energy limit that is sensitive to the\ninfrared screening scale, $\\mu$, of the medium. As a function of the\ndimensionless parameter $\\zeta=\\lambda \\mu^2/E$, we show furthermore how the\nenergy dependence of $dE/dz$ evolves from the above constant for $\\zeta\\ll 1$\nto the more familiar (Bethe-Heitler) linear dependence for $\\zeta \\gg 1$.",
"arxiv_id": "nucl-th/9306003",
"authors": [
"Mikols Gyulassy",
"Xin-Nian Wang"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/0550-3213(94)90079-5",
"journal_ref": "Nucl.Phys.B420:583-614,1994",
"title": "Multiple Collisions and Induced Gluon Bremsstrahlung in QCD",
"url": "https://arxiv.org/abs/nucl-th/9306003"
},
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