The LPM effect in sequential bremsstrahlung: 4-gluon vertices

Abstract

The splitting processes of bremsstrahlung and pair production in a medium are coherent over large distances in the very high energy limit, which leads to a suppression known as the Landau-Pomeranchuk-Migdal (LPM) effect. In this paper, we continue study of the case when the coherence lengths of two consecutive splitting processes overlap (which is important for understanding corrections to standard treatments of the LPM effect in QCD), avoiding soft-gluon approximations. In particular, this paper completes the calculation of the rate for real double gluon bremsstrahlung from an initial gluon with various simplifying assumptions (thick media; $\hat{q}$ approximation; and large $N_c$) by now including processes involving 4-gluon vertices.

35 pages, 17 figures [changes from v1: minor typo fixes and minor referencing updates]

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• Strong- vs. weak-coupling pictures of jet quenching: a dry run using QED
• Multi-particle potentials from light-like Wilson lines in quark-gluon plasmas: a generalized relation of in-medium splitting rates to jet-quenching parameters $\hat{q}$
• The LPM Effect in sequential bremsstrahlung: $1/N_c^2$ corrections
• The LPM effect in sequential bremsstrahlung: incorporation of "instantaneous'' interactions for QCD
• Jet substructure observables for jet quenching in Quark Gluon Plasma: a Machine Learning driven analysis