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

Peter Arnold (Department of Physics, University of Virginia, P.O. Box 400714, Charlottesville, VA, 22904, USA) ; Tyler Gorda (Technische Universität Darmstadt, Department of Physics, Darmstadt, D-64289, Germany; Helmholtz Research Academy for FAIR, Darmstadt, D-64289, Germany) ; Shahin Iqbal (National Centre for Physics, Quaid-i-Azam University, Islamabad, Pakistan; Institute of Particle Physics, Central China Normal University, Wuhan, 430079, China)

Consider the in-medium splitting g → 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 q ̂ $$ \hat{q} $$ 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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  "abstracts": [
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      "source": "Springer", 
      "value": "Consider the in-medium splitting g \u2192 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   <math> <mover> <mi>q</mi> <mo>\u0302</mo> </mover> </math>  $$ \\hat{q} $$  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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Published on:
14 April 2022
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2022 (2022)
Issue 4
Pages 1-54
DOI:
https://doi.org/10.1007/JHEP04(2022)085
arXiv:
2112.05161
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: