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Multiloop soft theorem for gravitons and dilatons in the bosonic string
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). University of Copenhagen, Denmark.
Number of Authors: 32019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 1, article id 038Article in journal (Refereed) Published
Abstract [en]

We construct, in the closed bosonic string, the multiloop amplitude involving N tachyons and one massless particle with 26 - D compactified directions, and we show that at least for D > 4, the soft behaviors of the graviton and dilaton satisfy the same soft theorems as at the tree level, up to one additional term at the subsubleading order, which can only contribute to the dilaton soft behavior and which we show is zero at least at one loop. This is possible, since the infrared divergences due to the non-vanishing tachyon and dilaton tadpoles do not depend on the number of external particles and are therefore the same both in the amplitude with the soft particle and in the amplitude without the soft particle. Therefore this leaves unchanged the soft operator acting on the amplitude without the soft particle. The additional infrared divergence appearing for D 4 depend on the number of external legs and must be understood on their own.

Place, publisher, year, edition, pages
2019. no 1, article id 038
Keywords [en]
Bosonic Strings, Scattering Amplitudes
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-165685DOI: 10.1007/JHEP01(2019)038ISI: 000455158700002OAI: oai:DiVA.org:su-165685DiVA, id: diva2:1286023
Available from: 2019-02-05 Created: 2019-02-05 Last updated: 2019-02-05Bibliographically approved

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Di Vecchia, Paolo
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