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SUMMARY:Sebastian Mizera (Princeton\, Inst. Advanced Study)
DTSTART:20230405T140000Z
DTEND:20230405T150000Z
DTSTAMP:20260423T021125Z
UID:AnLy/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AnLy/24/">Ev
 aluating one-loop string amplitudes</a>\nby Sebastian Mizera (Princeton\, 
 Inst. Advanced Study) as part of AnLy Strings and Fields online seminars\n
 \n\nAbstract\nScattering amplitudes in string theory are written as formal
  integrals of correlations functions over the moduli space of punctured Ri
 emann surfaces. It's well-known\, albeit not often emphasized\, that this 
 prescription is only approximately correct because of the ambiguities in d
 efining the integration domain. In this talk\, we propose a resolution of 
 this problem for one-loop open-string amplitudes and present their first e
 valuation at finite energy and scattering angle. Our method involves a def
 ormation of the integration contour over the modular parameter to a fracta
 l contour introduced by Rademacher in the context of analytic number theor
 y. This procedure leads to explicit and practical formulas for the one-loo
 p planar and non-planar type-I superstring four-point amplitudes\, amenabl
 e to numerical evaluation. We plot the amplitudes as a function of the Man
 delstam invariants and directly verify long-standing conjectures about the
 ir behavior at high energies.\n
LOCATION:https://researchseminars.org/talk/AnLy/24/
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