Abstract
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 \( \hat{q} \) 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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P. Arnold, T. Gorda and S. Iqbal, in preparation.
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Arnold, P., Gorda, T. & Iqbal, S. The LPM effect in sequential bremsstrahlung: analytic results for sub-leading (single) logarithms. J. High Energ. Phys. 2022, 85 (2022). https://doi.org/10.1007/JHEP04(2022)085
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DOI: https://doi.org/10.1007/JHEP04(2022)085