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SUMMARY:A disturbance in the (strong) Force: Alien operators for precision
  QCD
DTSTART:20260706T121500Z
DTEND:20260706T141500Z
DTSTAMP:20260711T034700Z
UID:indico-event-1557@indico.hiskp.uni-bonn.de
DESCRIPTION:Speakers: Sam Van Thurenhout\n\nNext-generation collider exper
 iments\, such as the high-luminosity phase of the LHC and the upcoming ele
 ctron-ion collider\, are expected to push the precision of many QCD-relate
 d measurements to the 1% level. As such\, it is important for theory predi
 ctions to reach the same level of precision. Particularly important for pr
 ocesses involving initial-state hadrons are the perturbative corrections t
 o the QCD splitting functions. The latter determine the scale dependence o
 f the parton distribution functions through the DGLAP equation. It is well
 -known that the Mellin moments of the splitting functions correspond to th
 e anomalous dimensions of leading-twist gauge-invariant operators of spin 
 N. The most convenient way to compute these anomalous dimensions is throug
 h the renormalization of the off-shell operator matrix elements. A major o
 bstacle in this approach is the mixing with non-gauge-invariant (alien) op
 erators\, whose structure becomes increasingly complicated at higher spin.
  In this talk\, we will discuss the systematic study of these alien operat
 ors at arbitrary spin. In particular\, using generalized BRST symmetry rel
 ations\, we derive the functional form of the aliens which are necessary t
 o perform the renormalization of the physical operators to four loops in Q
 CD. This marks an important step towards the determination of the full fou
 r-loop splitting functions\, which will be vital for high-precision phenom
 enology.\n\nhttps://indico.hiskp.uni-bonn.de/event/1557/
URL:https://indico.hiskp.uni-bonn.de/event/1557/
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