[Submitted on 18 Jul 2022] (cross-list from hep-ph)
Classical vs quantum corrections to jet broadening in a weakly-coupled Quark-Gluon Plasma
Jacopo Ghiglieri🇫🇷 · Eamonn Weitz🇫🇷
The transverse momentum broadening coefficient receives both soft, classical and radiative, quantum corrections. The former are responsible for a large O(g) correction, whereas the latter enter at relative order , 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.
- Comments:
- 26 pages plus appendices, 9 figures. v2: minor typographical fixes, matches JHEP version
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
- arXiv:
- 2207.08842 [pdf]