Year: 2019
Type: article
Abstract: We construct, in the closed bosonic string, the multiloop amplitude involvingNtachyons and one massless particle with 26 −Dcompactified directions, and we show that at least forD> 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 forD≤ 4 depend on the number of external legs and must be understood on their own.
Source: Journal of High Energy Physics
Authors: Paolo Di Vecchia, Raffaele Marotta, Matin Mojaza
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2885199294