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SUMMARY:Bc→ηc form factors at large recoil: Double logarithms and endpo
 int divergences in SCET
DTSTART:20261027T094500Z
DTEND:20261027T104500Z
DTSTAMP:20261026T005500Z
UID:indico-event-12298@indico.mpp.mpg.de
DESCRIPTION:Speakers: Dennis Horstmann (Karlsruhe Institute of Technology)
 \n\nAt next-to-leading power\, Soft-Collinear Effective Theory suffers fro
 m endpoint-divergent convolution integrals. While this difficulty has been
  overcome for a number of processes by employing novel refactorization-bas
 ed subtraction techniques\, this method appears to be inapplicable for har
 d exclusive processes. We show that the double-logarithmic series of the s
 oft-overlap contribution to the Bc → ηc transition form factors\, assum
 ing the scale hierarchy mb >> mc >> ΛQCD\, is given by a novel type of in
 tegral equations encoding a non-trivial interplay between soft-quark and s
 oft-gluon corrections. Further\, we perform an independent check of this r
 esult. With appropriate regulators in place\, the corresponding bare facto
 rization formula derived in Soft-Collinear Effective Theory can be used at
  fixed order. Based on the structure of the bare factorization formula\, w
 e formulate a pole-cancellation argument and identify the leading pole of 
 the three-loop hard-collinear region as the only missing ingredient up to 
 three-loop order. An explicit computation of this ingredient confirms our 
 integral equations up to the three-loop level. Finally\, we discuss a meth
 od that reproduces the double-logarithmic series by means of renormalizati
 on-group equations of cut-off inverse moments of Bc-meson light-cone distr
 ibution amplitudes.\n\nhttps://indico.mpp.mpg.de/event/12298/
LOCATION:PH 3344\, (5101.01.344) (TUM\, Physics Department\, Garching)
URL:https://indico.mpp.mpg.de/event/12298/
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