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SUMMARY:Recent developments in calculating five-point scattering amplitude
s
DTSTART;VALUE=DATE-TIME:20181214T100000Z
DTEND;VALUE=DATE-TIME:20181214T110000Z
DTSTAMP;VALUE=DATE-TIME:20191213T122909Z
UID:indico-event-18395@indico.in2p3.fr
DESCRIPTION:Muti-loop scattering amplitudes for multi-particle processes s
tart to play an increasingly important role in future collider physics ana
lyses. We review the recent progress in calculating the virtual two-loop c
orrections for five-particle processes. We concentrate on the analytic cal
culation of the relevant master integrals representing nonplanar correctio
ns in any 4D gauge theory including the massless QCD\, Yang-Mills theory\,
N=4 super-Yang-Mills theory. We apply the modern mathematical techniques
for evaluating multi-loop Feynman integrals which include the iterated int
egrals\, symbol alphabets\, analysis of the leading singularities\, the ca
nonical form of the differential equation. We identify the space of the pe
ntagon functions representing the five-point Feynman integrals with on-she
ll legs. Using this knowledge\, we apply the bootstrap approach relying on
the Mellin-Barnes representation to find a number of nontrivial two-loop
integrals. Then we evaluate all master integrals belonging to one of the t
wo nonplanar topologies using the method of differential equations. We als
o explain how some of these integrals can be evaluated using the anomalous
superconformal Ward identities. Finally\, we discuss the application of t
hese results to the five-point two-loop nonplanar amplitude in N=4 super-Y
ang-Mills theory.\n\nhttps://indico.in2p3.fr/event/18395/
LOCATION:LAPTh Salle des Sommets
URL:https://indico.in2p3.fr/event/18395/
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