Aug 25 – 30, 2024
Goethe-University, Frankfurt/Main Campus Riedberg
Europe/Berlin timezone

The force-force correlator at the hard thermal scale of hot QCD

Aug 27, 2024, 5:06 PM
2m
HS 3 of Otto-Stern-Zentrum (Goethe-University, Frankfurt/Main Campus Riedberg )

HS 3 of Otto-Stern-Zentrum

Goethe-University, Frankfurt/Main Campus Riedberg

Goethe-Universität, Ruth-Moufang-Straße 2, 60438 Frankfurt am Main

Speaker

Dr Eamonn Weitz (Subatech, Nantes Université)

Description

Jets play an important role in heavy-ion collisions, interacting with and thereby probing the quark-gluon plasma (QGP) as they propagate to the detector. The asymptotic mass, $m_{\infty}$ and the transverse scattering rate, $\mathcal{C}(k_{\perp})$ control this interaction insofar as they serve as input to calculations of transverse momentum broadening and medium-induced radiation. Both $m_{\infty}$ and $\mathcal{C}(k_{\perp})$ receive classical corrections, arising from the exchange of gluons distributed on the IR tail of the Bose-Einstein distribution.

In this talk, we describe how recent advances have shown that these classical corrections can be obtained from the lattice in dimensionally reduced Electrostatic QCD (EQCD) [1], which has in turn paved the way for their non-perturbative determination [2,3]. Based on [4], we explain how said EQCD determination needs to be supplemented with a perturbative calculation in full thermal QCD at $\mathcal{O}(g^2)$ to render the classical contribution finite, ridding it of unphysical UV divergences. We furthermore report on our progress towards the calculation of the rest of the $\mathcal{O}(g^2)$ contribution and provide an outlook on the potential impact on medium-induced radiation rates.

References:
[1] S. Caron-Huot, 0811.1603
[2] G.D. Moore, N. Schlusser, 2009.06614
[3] J. Ghiglieri, G.D. Moore, P. Schicho, N. Schlusser, 2112.01407
[4] J. Ghiglieri, P. Schicho, N. Schlusser, E. Weitz, 2312.11731

Authors

Dr Eamonn Weitz (Subatech, Nantes Université) Prof. Guy Moore (TU Darmstadt) Dr Jacopo Ghiglieri (Subatech, CNRS) Dr Niels Schlusser (University of Basel) Dr Philipp Schicho (Goethe University Frankfurt)

Presentation materials