Classical vs quantum corrections to jet broadening in a weakly-coupled Quark-Gluon Plasma

Abstract

The transverse momentum broadening coefficient $\hat{q}$ 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 ${\alpha }_s$, 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.

26 pages plus appendices, 9 figures. v2: minor typographical fixes, matches JHEP version

References in corpus (12)

• Finite-size effects on the radiative energy loss of a fast parton in hot and dense strongly interacting matter
• High-energy jet quenching in weakly-coupled quark-gluon plasmas
• QCD Splitting/Joining Functions at Finite Temperature in the Deep LPM Regime
• Quark-Gluon Plasmas and Thermalization
• The non-linear evolution of jet quenching
• Non-relativistic bound states at finite temperature (II): the muonic hydrogen
• Radiative energy loss and radiative p_T-broadening of high-energy partons in QCD matter
• On supersymmetry at finite temperature
• Running coupling effects in the evolution of jet quenching
• Transverse momentum broadening from the lattice
• From soft to hard radiation: the role of multiple scatterings in medium-induced gluon emissions
• Radiative corrections to the jet quenching parameter in dilute and dense media