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SUMMARY:In-medium QCD splittings beyond the soft\, large-Nc and harmonic-o
 scillator approximations all at once
DTSTART:20260630T150000Z
DTEND:20260630T160000Z
DTSTAMP:20260703T003000Z
UID:indico-event-33407@indico.bnl.gov
DESCRIPTION:Speakers: Marco Leitão (IPhT-Saclay & LIP-Lisbon)\n\nThe buil
 ding block of jet quenching calculations is the differential matrix-elemen
 t 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 pionee
 ring work of BDMPS-Z. However\, exact solutions have remained elusive\, th
 us hampering the precision of jet quenching phenomenology.We present the f
 irst calculation of QCD in-medium splitting kernels which accounts for the
  exact transverse kinematics of the partons\, finite- corrections and a re
 alistic medium potential\, providing solutions across the entire phenomeno
 logically relevant phase space. Building on [1]\, we formulate the problem
  as a set of tractable evolution equations and solve them using an efficie
 nt and stable numerical method based on the Faber expansion of the time-ev
 olution propagator [2]. We analyse the applicability of the large-Nc limit
  and demonstrate the uncertainties associated with common approximations i
 n the literature. This work opens a path toward more precise calculations 
 of jet observables and for powerful new constraints of medium parameters f
 rom high-energy heavy-ion collider data.[1] JHEP 09 (2023) 049[2] Comput. 
 Phys. 216 (2006) 391-402\n\nhttps://indico.bnl.gov/event/33407/
LOCATION:Small Seminar Room (Bldg 510A)
URL:https://indico.bnl.gov/event/33407/
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