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The LPM effect in sequential bremsstrahlung: analytic results for sub-leading (single) logarithms

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arxiv 2112.05161 v2 pith:EQG4FMA4 submitted 2021-12-09 hep-ph nucl-th

Peter Arnold , Tyler Gorda , Shahin Iqbal This is my paper · ORCID
classification hep-phnucl-th
keywords mediumsinglesplittinganalyticbeeneffecthigh-energyknown
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Consider the in-medium splitting $g \to gg$ of a very high-energy gluon traversing a QCD medium, accounting for the Landau-Pomeranchuk-Migdal (LPM) effect. It has been known for some time that soft radiative corrections to that splitting generate a double-log correction to the splitting rate, whose effects can be absorbed into running of the medium parameter $\hat q$ describing the rate of transverse momentum kicks to high-energy particles due to small-angle scattering from the medium. Less has been known about sub-leading, single logarithms in this context. In this paper, we find analytic formulas for those single logs (with various caveats and clarifications).

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Factorization of the triple-collinear $q \to qc\bar{c}$ splitting function at first order in opacity

    hep-ph 2026-07 conditional novelty 7.0 of 10

    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.

  2. Gluon radiation from a QCD antenna with realistic parton-medium interactions

    hep-ph 2026-07 unverdicted novelty 6.0 of 10

    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.

  3. Non-linear dynamics of jet quenching

    hep-ph 2024-11 conditional novelty 5.0 of 10

    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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