Speaker
Description
The building block of jet quenching calculations is the differential matrix-element to radiate a gluon off a highly-energetic parton in a dense QCD medium. Analytical expressions were presented more than 30 years ago in the pioneering work of BDMPS-Z. However, exact solutions have remained elusive, thus hampering the precision of jet quenching phenomenology.
We present the first calculation of QCD in-medium splitting kernels which accounts for arbitrary energy fractions $z$ of the emitted gluon, finite-$N_c$ corrections and a realistic medium potential, providing solutions across the entire phenomenologically relevant phase space. Building on [1], we formulate the problem as a set of tractable evolution equations and solve them using an efficient and stable numerical method based on the Faber expansion of the time-evolution propagator [2]. We analyse the applicability of the large-$N_c$ limit and demonstrate the breakdown of the commonly employed straight-line approximation. As a phenomenological application, we compute in-medium energy–energy correlators (EECs) at LHC kinematics, quantifying the impact of the complete finite-$z$
solution and improved medium potential on jet substructure observables.
[1] JHEP 09 (2023) 049
[2] Comput. Phys. 216 (2006) 391-402
| Track | Heavy Ions |
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