Soft behavior of a closed massless state in superstring and universality in the soft behavior of the dilaton

Abstract

We consider the tree-level scattering amplitudes in the NS-NS (Neveu-Schwarz) massless sector of closed superstrings in the case where one external state becomes soft. We compute the amplitudes generically for any number of dimensions and any number and kind of the massless closed states through the subsubleading order in the soft expansion. We show that, when the soft state is a graviton or a dilaton, the full result can be expressed as a soft theorem factorizing the amplitude in a soft and a hard part. This behavior is similar to what has previously been observed in field theory and in the bosonic string. Differently from the bosonic string, the supersymmetric soft theorem for the graviton has no string corrections at subsubleading order. The dilaton soft theorem, on the other hand, is found to be universally free of string corrections in any string theory.

27 pages, one appendix

References in corpus (16)

• Evidence for a New Soft Graviton Theorem
• Effective Field Theories from Soft Limits
• Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
• On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• Subleading soft theorem in arbitrary dimension from scattering equations
• The method of regions and next-to-soft corrections in Drell-Yan production
• Constraining subleading soft gluon and graviton theorems
• Diagrammatic insights into next-to-soft corrections
• Next to subleading soft-graviton theorem in arbitrary dimensions
• Subleading Soft Factor for String Disk Amplitudes
• Soft Graviton Theorem in Arbitrary Dimensions
• Conformal Invariance of the Subleading Soft Theorem in Gauge Theory
• The Double Copy Structure of Soft Gravitons
• Soft theorem for the graviton, dilaton and the Kalb-Ramond field in the bosonic string
• A Note on Soft Factors for Closed String Scattering

Cited by in corpus (8)

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• Subleading Soft Theorem for Multiple Soft Gravitons
• Double-soft behavior of the dilaton of spontaneously broken conformal invariance
• Modular Forms and $SL(2,\mathbb{Z})$-covariance of type IIB superstring theory
• Cosmology at the top of the ${\alpha }^{\prime }$ tower
• The B-field soft theorem and its unification with the graviton and dilaton
• Soft-Theorems for Scalar Particles: The Dilatons Story
• S-matrix element of two R-R and one NS states