On the multiloop soft theorem of the dilaton in the bosonic string

Abstract

In this note we show that by fixing the multiloop Green function in the closed bosonic string to be Arakelov's Green function, one obtains factorization of scattering amplitudes with a softly emitted dilaton to the same level as with a graviton to all loop order. This extends our previous analysis at one loop to all loop orders and confirms that some high-energy quantum symmetry in the bosonic string protects the factorization of amplitudes with softly emitted dilatons.

4 pages

References in corpus (5)

• Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
• Constraining subleading soft gluon and graviton theorems
• Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
• Modular Forms and $SL(2,\mathbb{Z})$-covariance of type IIB superstring theory
• Eigenvalue equation for genus two modular graphs

Cited by in corpus (4)

• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Soft Theorems from Compactification
• Soft factors from classical scattering on the Reissner-Nordström spacetime
• Soft-Theorems for Scalar Particles: The Dilatons Story