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SUMMARY:Untangling the IBP Equations - William Liu (University of Cambridg
 e)
DTSTART:20260213T160000Z
DTEND:20260213T170000Z
UID:TALK244366@talks.cam.ac.uk
CONTACT:Terry Generet
DESCRIPTION:In this talk\, I will present a general strategy for solving i
 ntegration-by-parts (IBP) identities—a class of multivariable linear hom
 ogeneous relations that connect different Feynman integrals. Our approach 
 is based on the diagonalisation of the IBP system\, which effectively redu
 ces it to single-variable recurrence relations. To the best of our knowled
 ge\, this is achieved here for the first time in over forty years of its u
 se. Moreover\, I will demonstrate that the diagonal IBP system takes the f
 orm V[n-1] = A(n+B)V[n]\, where A and B are non-commuting operators. We s
 how that such systems can be solved analytically for complex values of n u
 sing GKZ-type differential equations\, thereby providing a direct route to
  closed-form solutions. I will also briefly present a modified version of 
 the method tailored to QCD multi-loop reductions\, which leads to improved
  computational efficiency.
LOCATION:MR19 (Potter Room\, Pavilion B)\, CMS
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