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SUMMARY:Spacelike collinear limits of 2-to-3 amplitudes at two loops
DTSTART:20261013T090000Z
DTEND:20261013T100000Z
DTSTAMP:20261025T022700Z
UID:indico-event-12296@indico.mpp.mpg.de
DESCRIPTION:Speakers: Zehao Zhu (Universität Mainz)\n\nThe gauge-theory s
 cattering amplitudes feature strict collinear factorization in the kinemat
 ic regime where two outgoing particles are collinear. However\, when an in
 coming and an outgoing particle become collinear\, corresponding to the sp
 acelike-collinear limit\, strict collinear factorization is violated. At o
 ne loop\, the factorization violating term arises from colour correlations
  between collinear particles and the remaining process. Starting at two lo
 ops\, the splitting amplitude also depends on their kinematics. In this ta
 lk\, I will discuss the spacelike collinear limit of a 2-to-3 scattering a
 mplitude in N=4 sYM at two loops. Using the method of regions\, I will sho
 w that the entire kinematic dependence in the violating term originates fr
 om a unique hidden region in the asymptotic expansion of the five-point am
 plitude\, which is absent in the timelike-collinear limit.  In parametric
  space\, we determine the region vector in the presence of cancellations b
 etween different Lee–Pomeransky parameters\, which cannot be detected by
  the standard geometric method. In momentum space\, the hidden region cont
 ains a Glauber loop momentum and a soft loop momentum. The Glauber mode ha
 s a virtuality dominated by its transverse components\, while the soft mod
 e has homogeneous scaling of its longitudinal and transverse components. T
 he soft nature of the interaction explains why the early Wilson-line based
  computation yields the complete factorization-violating contribution.\n\n
 https://indico.mpp.mpg.de/event/12296/
LOCATION:PH 3344\, (5101.01.344) (TUM\, Physics Department\, Garching)
URL:https://indico.mpp.mpg.de/event/12296/
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