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SUMMARY:Feynman Integral: From Integration-By-Parts reduction to Intersect
ion Theory
DTSTART;VALUE=DATE-TIME:20200116T090000Z
DTEND;VALUE=DATE-TIME:20200116T100000Z
DTSTAMP;VALUE=DATE-TIME:20201026T110009Z
UID:indico-event-7570@cern.ch
DESCRIPTION:Scattering amplitudes encode crucial information about collisi
on phenomena in our universe\, from the smallest to the largest scales. Ev
aluation of multi-loop Feynman integrals is an integral part of the determ
ination of these scattering amplitudes and related quantities. The Feynman
integrals obey linear relations\, which are exploited by employing the st
andard Integration-By-parts identities to simplify the evaluation of scatt
ering amplitudes: they can be used both for decomposing the scattering amp
litudes in terms of a basis of functions referred to as master integrals (
MIs) and for the evaluation of the latter using the differential equation.
I will show that they are better understood using the Intersection Number
s\, which act as scalar products between the vector spaces of the Feynman
Integral. Application to few Feynman integrals at one- and two-loops will
be shown\, thereby sketching the first step towards potential applications
to generic multi-loop integrals.\n\nhttps://indico.tifr.res.in/indico/con
ferenceDisplay.py?confId=7570
LOCATION: AG69
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=7570
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