In large-Nc and harmonic oscillator limits, medium-induced splittings are computed analytically double-differential in z and θ, with an improved semi-hard approximation validated for high-energy partons.
Fully quantum treatment of the Landau--Pomeranchuk--Migdal effect in QED and QCD
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abstract
For the first time a rigorous quantum treatment of the Landau-Pomeranchuk-Migdal effect in QED and QCD is given. The rate of photon (gluon) radiation by an electron (quark) in medium is expressed through the Green's function of a two-dimensional Schr\"odinger equation with an imaginary potential. In QED this potential is proportional to the dipole cross section for scattering of $e^{+}e^{-}$ pair off an atom, in QCD it is proportional to the cross section of interaction with color centre of the color singlet quark-antiquark-gluon system.
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The in-medium antenna gluon spectrum is obtained by numerical solution of Dyson-type equations that fully resum multiple scatterings for Yukawa and HTL rates, without harmonic-oscillator or opacity truncations.
Derives Lindblad evolution for color dipole in QCD plasma and demonstrates quasi-factorization of Wigner distribution violated by color decoherence factor controlled by theta_qqbar/theta_c ratio.
Including thermal parton collisions via the BGK kernel increases the collisional energy loss of a heavy quark in QGP by ~8% at large velocities for α_s=0.3 compared to the collisionless limit.
citing papers explorer
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Full energy fraction and angular dependence of medium-induced splittings in the large-$N_c$ limit
In large-Nc and harmonic oscillator limits, medium-induced splittings are computed analytically double-differential in z and θ, with an improved semi-hard approximation validated for high-energy partons.
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Gluon radiation from a QCD antenna with realistic parton-medium interactions
The in-medium antenna gluon spectrum is obtained by numerical solution of Dyson-type equations that fully resum multiple scatterings for Yukawa and HTL rates, without harmonic-oscillator or opacity truncations.
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Open quantum system approach to the transverse momentum broadening of a colour dipole
Derives Lindblad evolution for color dipole in QCD plasma and demonstrates quasi-factorization of Wigner distribution violated by color decoherence factor controlled by theta_qqbar/theta_c ratio.
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Energy Loss of a Heavy Quark in a Collisional Quark-Gluon Plasma
Including thermal parton collisions via the BGK kernel increases the collisional energy loss of a heavy quark in QGP by ~8% at large velocities for α_s=0.3 compared to the collisionless limit.