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SUMMARY:Chebyshev Approximations of Feynman Integrals for Collider Physics
DTSTART:20261020T090000Z
DTEND:20261020T100000Z
DTSTAMP:20261026T023400Z
UID:indico-event-12297@indico.mpp.mpg.de
DESCRIPTION:Speakers: Ben Page (Ghent University)\n\nPrecision measurement
 s at the LHC need theory predictions at the same level of precision. In pr
 actice this means computing multi-loop scattering amplitudes involving mul
 tiple scattering particles. A central bottleneck is evaluating the underly
 ing Feynman integrals quickly and reliably across the physical phase space
 . In this talk I will argue that\, for this purpose\, we benefit from work
 ing with approximations of Feynman integrals\, and that Chebyshev approxim
 ations are particularly well suited to the task. Feynman integrals have we
 ll-understood regions of analyticity\, through unitarity and Landau analys
 is\, and Chebyshev approximations converge exponentially for analytic func
 tions. Approximating the integrals along a line in physical phase space di
 scards their intricate multi-sheeted structure\, so a hard analytic proble
 m becomes a simple numerical one. I will show how such approximations can 
 be constructed efficiently by solving canonical differential equations. Ap
 plied to two-loop five-point integrals\, the approach is competitive with 
 state-of-the-art one-fold integral methods\, without case-by-case handling
  of spurious singularities.\n\nhttps://indico.mpp.mpg.de/event/12297/
LOCATION:TUM\, Physics Department\, Garching
URL:https://indico.mpp.mpg.de/event/12297/
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