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SUMMARY:Jani Penttala [NT/RBRC] Exploring rapidity regulators at small x
DTSTART:20260417T150000Z
DTEND:20260417T170000Z
DTSTAMP:20260422T094800Z
UID:indico-event-32486@indico.bnl.gov
DESCRIPTION:The high-energy limit scattering of particles can be convenien
 tly calculated with the dipole picture that factorizes the process into pe
 rturbative light-cone wave functions and the nonperturbative scattering of
 f the target. At next-to-leading order (NLO)\, perturbative calculations w
 ithin the dipole picture lead to rapidity divergences that describe the hi
 gh-energy evolution of the target. These rapidity divergences are often re
 gulated by a cutoff for the plus momenta of the intermediate particles. Th
 is naive cutoff regulator\, however\, mixes up soft and rapidity divergenc
 es and can lead to inconsistent results when trying to match to collinear 
 or transverse-momentum-dependent factorization. As such\, an additional ki
 nematic constraint is often introduced to correct for this mismatch.In thi
 s talk\, I will consider alternatives to the cutoff regulator to remedy th
 ese problems. Specifically\, I will discuss the calculation of the longitu
 dinal structure function for deep inelastic scattering at NLO within eta-r
 egulator schemes that correspond to regulating different components of the
  momentum [1]. We find nontrivial dependence on the rapidity regulator\, w
 ith potential implications on practical higher-order calculations and the 
 proper regulator scheme. This calculation also serves as a basis for consi
 dering other processes in the dipole picture within such regulator schemes
 .[1] Altinoluk\, Beuf\, Penttala\, arXiv:2510.08550 [hep-ph]\n\nhttps://in
 dico.bnl.gov/event/32486/
LOCATION:Small seminar room (Bldg. 510) ( https://bnl.zoomgov.com/j/161471
 5193?pwd=WkwxODVWdzZzb29zQnZRVGp3VTBDQT09)
URL:https://indico.bnl.gov/event/32486/
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