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The LPM effect in sequential bremsstrahlung: gluon shower development
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abstract
We give details of our study of whether high-energy gluon showers inside a QCD medium can be treated as a sequence of individual splitting processes $g \to gg$, or whether there is significant quantum overlap between where one splitting ends and the next begins (neglecting effects that can be absorbed into an effective value of the jet quenching parameter $\hat q$ that characterizes the medium). The study is carried out by imagining in-medium gluon shower development in the simplest theoretical situation, which includes imagining a very large, static, homogeneous medium and taking the large $N_{\rm c}$ limit. Along the way, we also show how in-medium shower evolution can be written in terms of a "net" splitting rate $[d\Gamma/dx]_{\rm net}$, and we provide a moderately simple analytic fit to our numerical results for the overlap effects included in that rate, which we hope may be of use to others wishing to study possible consequences of overlapping splittings.
Forward citations
Cited by 5 Pith papers
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Factorization of the triple-collinear $q \to qc\bar{c}$ splitting function at first order in opacity
At first order in opacity, the medium-modified q->q c cbar splitting function factorizes into products of q->q g and g->c cbar splitting functions in three strongly ordered collinear limits.
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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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Are Parton Showers in a Quark-Gluon Plasma Strongly Coupled? A Theorist's Test
Overlap corrections to in-medium QCD parton showers are about 0.005 in the large-Nf limit, confirming that showers can be treated as independent splittings.
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Non-linear dynamics of jet quenching
Jet energy loss out of the cone is governed by a non-linear rate equation whose solution feeds a non-linear DGLAP evolution, enabling resummation of alpha_s ln(1/R), alpha_s ln(R/theta_c), and powers of alpha_s L.
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