Abstract
The transverse momentum broadening coefficient \( \hat{q} \) receives both soft, classical and radiative, quantum corrections. The former are responsible for a large \( \mathcal{O} \)(g) correction, whereas the latter enter at relative order αs, but are enhanced by a double logarithm of the length of the medium over the thermal wavelength. We analyze radiative corrections for a weakly-coupled quark-gluon plasma. We find that a thermal population of dynamical gluons changes the boundaries and reduces the size of the double-logarithmic phase space. It also provides new subdominant logarithmic corrections. We also show how the quantum, double-logarithmic and classical, soft phase spaces are smoothly connected once the radiated gluon becomes soft enough. Finally, we discuss a pathway to a determination of radiative corrections beyond the harmonic-oscillator approximation.
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Ghiglieri, J., Weitz, E. Classical vs quantum corrections to jet broadening in a weakly-coupled Quark-Gluon Plasma. J. High Energ. Phys. 2022, 68 (2022). https://doi.org/10.1007/JHEP11(2022)068
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DOI: https://doi.org/10.1007/JHEP11(2022)068