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UID:2563@qft.physik.hu-berlin.de
DTSTART;TZID=Europe/Berlin:20260602T133000
DTEND;TZID=Europe/Berlin:20260602T143000
DTSTAMP:20260601T085227Z
URL:https://qft.physik.hu-berlin.de/next-seminars/giacomo-brunello-sns-pis
 a/
SUMMARY:Giacomo Brunello (SNS\, Pisa) - 
DESCRIPTION:Speaker: Giacomo Brunello\n\nTitle: Fourier Integrals for Gravi
 tational Radiation\n\nAbstract:\n\nGravitational radiation emitted during 
 the scattering of two compact objects can be computed directly from scatte
 ring amplitudes within the observable-based (KMOC) formalism. In this appr
 oach\, the gravitational waveform in frequency space is obtained from the 
 Fourier transform of 2→3 scattering amplitudes.\n\nWhile the momentum-sp
 ace amplitudes can be evaluated with standard multi-loop techniques\, the 
 Fourier transformation to the frequency domain represents a major bottlene
 ck in this computation. In practice\, it leads to large intermediate expre
 ssions and spurious singularities that obscure the analytic structure of t
 he result.\n\nIn this talk\, I will describe a framework in which Fourier 
 integrals are treated together with loop integrals as a single class of ge
 neralized multi-loop objects. These combined integrals obey integration-by
 -parts identities and systems of differential equations in the kinematic i
 nvariants\, allowing one to apply Feynman-integral technology directly to 
 frequency-domain waveforms. \n\nUsing these techniques\, we compute the f
 ully analytic next-to-leading-order gravitational waveform in frequency sp
 ace for the scattering of two compact objects\,\n\ntogether with the numer
 ical emitted power spectrum at next-to-leading-order. \n\nI will also dis
 cuss how this framework opens the way to a systematic study of the associa
 ted Fourier differential equations\, their solutions in terms of Bessel-li
 ke iterated integrals\, and asymptotic expansions in relevant kinematic re
 gimes. This provides a route toward higher-precision gravitational-wave pr
 edictions\, including higher perturbative orders and the incorporation of 
 spin effects.
CATEGORIES:Pizza Seminars
LOCATION:Room 1.221\, IRIS building\, Zum großen Windkanal 6\, Berlin\, 12
 489\, Germany
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Zum großen Windkanal 6\, B
 erlin\, 12489\, Germany;X-APPLE-RADIUS=100;X-TITLE=Room 1.221\, IRIS build
 ing:geo:0,0
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