Transverse momentum broadening of high-energy partons from 3D lattice EQCD simulations
2020
Heavy-ion collision experiments and related theoretical efforts of understanding the strong
interaction constitute key endeavors in the modern pursuit of understanding nature. A
central field of comparison for experiment and theory are the interactions of high-energy
particles with a strongly interacting medium. The transverse momentum distribution of a
high-energy particle broadens in crossing that very medium, quantified by the transverse
collision kernel, C(b ⊥ ). It receives dominant infrared corrections which cannot be tackled
perturbatively, even at weak coupling. In the present thesis, we calculated this contribution
on the lattice in Electrostatic QCD as proposed by Caron-Huot and pioneered by Panero,
Rummukainen, and Schafer. In order to put us into the position of extrapolating the
discretization errors away, we developed a procedure to entirely remove discretization
errors linear in the lattice spacing. Our data, provided at four different temperatures,
render the common approximations of C(b ⊥ ) redundant.
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