Multi-soft theorems in Gauge Theory from MHV Diagrams

Abstract

In this work we employ the MHV technique to show that scattering amplitudes with any number of consecutive soft particles behave universally in the multi-soft limit in which all particles go soft simultaneously. After identifying the diagrams which give the leading contribution we give the general rules for writing down compact expressions for the multi-soft factor of m gluons, k of which have negative helicity. We explicitly consider the cases where k equals 1 and 2. In N =4 SYM, the multi-soft factors of 2 scalars or 2 fermions forming a singlet of SU(4) R-symmetry, and m-2 positive helicity gluons are derived. The special case of the double-soft limit gives an amplitude whose leading divergence is 1/δ^2 and not 1/δas in the case of 2 scalars or 2 fermions that do not form a singlet under SU(4). The construction based on the analytic supervertices allows us to obtain simple expressions for the triple-soft limit of 1 scalar and 2 positive helicity fermions, as well as for the quadrapole-soft limit of 4 positive helicity fermions, in a singlet configuration.

25 pages, 7 figures,typos corrected

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Cited by in corpus (12)

• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Subleading Power Factorization with Radiative Functions
• Scattering Equations, Twistor-string Formulas and Double-soft Limits in Four Dimensions
• Double-soft behavior for scalars and gluons from string theory
• Testing Subleading Multiple Soft Graviton Theorem for CHY Prescription
• One-Loop Soft Theorems via Dual Superconformal Symmetry
• Multi-Soft gluon limits and extended current algebras at null-infinity
• Soft factors from classical scattering on the Reissner-Nordström spacetime
• Note on Identities Inspired by New Soft Theorems
• Double Soft Theorem for Generalised Biadjoint Scalar Amplitudes
• Leading multi-soft limits from scattering equations
• QCD Beyond Leading Power