Classical Soft Theorem in the AdS-Schwarzschild spacetime in small cosmological constant limit

A bstract We have studied scattering of a probe particle by a four dimensional AdS-Schwarzschild black hole at large impact factor. Our analysis is consistent perturbatively to leading order in the AdS radius and black hole mass parameter. Next we define a proper “soft limit” of the radiation and ex...

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Published inThe journal of high energy physics Vol. 2021; no. 1; pp. 1 - 35
Main Authors Banerjee, Nabamita, Bhattacharjee, Arindam, Mitra, Arpita
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 08.01.2021
Springer Nature B.V
SpringerOpen
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Summary:A bstract We have studied scattering of a probe particle by a four dimensional AdS-Schwarzschild black hole at large impact factor. Our analysis is consistent perturbatively to leading order in the AdS radius and black hole mass parameter. Next we define a proper “soft limit” of the radiation and extract out the “soft factor” from it. We find the correction to the well known flat space Classical Soft graviton theorem due to the presence of an AdS background.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2021)038