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#### Double-soft behavior of the dilaton of spontaneously broken conformal invariance

##### MPG-Autoren
/persons/resource/persons201815

Mojaza,  Matin
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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##### Volltexte (frei zugänglich)

1705.06175.pdf
(Preprint), 493KB

JHEP09(2017)001.pdf
(Verlagsversion), 534KB

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##### Zitation

Di Vecchia, P., Marotta, R., & Mojaza, M. (2017). Double-soft behavior of the dilaton of spontaneously broken conformal invariance. Journal of high energy physics: JHEP, 2017(09): 001. doi:10.1007/JHEP09(2017)001.

The Ward identities involving the currents associated to the spontaneously broken scale and special conformal transformations are derived and used to determine, through linear order in the two soft-dilaton momenta, the double-soft behavior of scattering amplitudes involving two soft dilatons and any number of other particles. It turns out that the double-soft behavior is equivalent to performing two single-soft limits one after the other. We confirm the new double-soft theorem perturbatively at tree-level in a $D$-dimensional conformal field theory model, as well as nonperturbatively by using the "gravity dual'' of ${\cal{N}}=4$ super Yang-Mills on the Coulomb branch; i.e. the Dirac-Born-Infeld action on AdS${}_5 \times S^5$.