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Improved opacity expansion at NNLO for medium induced gluon radiation
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abstract
When an energetic parton propagates in a hot and dense QCD medium it loses energy by elastic scatterings or by medium-induced gluon radiation. The gluon radiation spectrum is suppressed at high frequency due to the LPM effect and encompasses two regimes that are known analytically: at high frequencies $\omega >\omega_c = \hat q L^2$, where $\hat q $ is the jet quenching transport coefficient and $L$ the length of the medium, the spectrum is dominated by a single hard scattering, whereas the regime $\omega <\omega_c$ is dominated by multiple low momentum transfers. In this paper, we extend a recent approach (dubbed the Improved Opacity Expansion (IOE)), which allows an analytic (and systematic) treatment beyond the multiple soft scattering approximation, matching this result with the single hard emission spectrum. We calculate in particular the NNLO correction analytically and numerically and show that it is strongly suppressed compared to the NLO indicating a fast convergence of the IOE scheme and thus, we conclude that it is sufficient to truncate the series at NLO. We also propose a prescription to compare the GW and the HTL potentials and relate their parameters for future phenomenological works.
Forward citations
Cited by 5 Pith papers
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Revisiting extremely high energy QED bremsstrahlung in matter: large modifications to the LPM effect
Pair production overlapping soft bremsstrahlung enhances the in-medium radiation rate above the standard LPM value, opposite to the 1964 prediction of Galitsky and Gurevich.
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Gluon radiation from a QCD antenna with realistic parton-medium interactions
The in-medium antenna gluon spectrum is obtained by numerical solution of Dyson-type equations that fully resum multiple scatterings for Yukawa and HTL rates, without harmonic-oscillator or opacity truncations.
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Quantum simulating multi-particle processes in high energy nuclear physics: dijet production and color (de)coherence
A quantum-circuit framework maps partonic cross-sections for multi-particle QCD processes in media, benchmarked on dipole formation and antenna radiation at leading order.
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Jet quenching in out-of-equilibrium QCD matter
Medium-induced gluon radiation computed with kinetic-theory backgrounds shows a persistent, non-vanishing imprint of the pre-equilibrium stage on jet spectra, so jet observables can probe early-time dynamics in heavy-...
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Gluon emission by a $q\bar{q}$ antenna with realistic parton-medium interactions
A quark-antiquark antenna's medium-induced gluon spectrum is computed numerically for a Yukawa scattering rate, generalizing the earlier single-quark method.
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