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Multiloop soft theorem for gravitons and dilatons inthe bosonic string

Di Vecchia, P., Marotta, R., & Mojaza, M. (2019). Multiloop soft theorem for gravitons and dilatons inthe bosonic string. Journal of High Energy Physics, 2019(1): 38. doi:10.1007/JHEP01(2019)038.

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Genre: Journal Article

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### Creators

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Creators:
Di Vecchia, Paolo, Author
Marotta, Raffaele, Author
Mojaza, Matin1, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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Free keywords: High Energy Physics - Theory, hep-th
Abstract: 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 $D \leq 4$ depend on the number of external legs and must be understood on their own.

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Dates: 2018-08-142019
Publication Status: Published in print
Pages: 16 pages + 25 pages appendices
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Rev. Method: -
Identifiers: arXiv: 1808.04845
URI: http://arxiv.org/abs/1808.04845
DOI: 10.1007/JHEP01(2019)038
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2019 (1) Sequence Number: 38 Start / End Page: - Identifier: -