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arxiv: 0808.2767 · v2 · submitted 2008-08-20 · ✦ hep-ph · nucl-th

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Simple Formula for High-Energy Gluon Bremsstrahlung in a Finite, Expanding Medium

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classification ✦ hep-ph nucl-th
keywords bremsstrahlunggluonexpansionfinitehigh-energymediumopacityplasma
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Previous authors have considered the problem of the medium effects on single gluon bremsstrahlung associated with producing a high-energy particle in a finite, time-dependent QCD plasma. Working to leading logarithmic order, I show that the result for the bremsstrahlung gluon spectrum can be cast into a remarkably simple form in the general case. I similarly analyze the process of pair production. Also, I comment on the radius of convergence of the opacity expansion in cases where the leading-log approximation holds, showing that the opacity expansion does not converge when the thickness of the plasma is greater than roughly the bremsstrahlung formation time. Additionally, as a special bonus -- available for a limited time only while supplies last! -- I summarize translations between the notation used by a few of the groups who have worked on this and related problems.

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  1. Full energy fraction and angular dependence of medium-induced splittings in the large-$N_c$ limit

    hep-ph 2026-03 unverdicted novelty 7.0

    In large-Nc and harmonic oscillator limits, medium-induced splittings are computed analytically double-differential in z and θ, with an improved semi-hard approximation validated for high-energy partons.