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Double Soft Theorem for Generalised Biadjoint Scalar Amplitudes

by Md. Abhishek, Subramanya Hegde, Dileep P. Jatkar, Arnab Priya Saha

Submission summary

As Contributors: Md Abhishek · Subramanya Hegde · Dileep Jatkar · Arnab Saha
Arxiv Link: (pdf)
Date accepted: 2021-02-04
Date submitted: 2021-01-31 11:53
Submitted by: Abhishek, Md
Submitted to: SciPost Physics
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


We study double soft theorem for the generalised biadjoint scalar field theory whose amplitudes are computed in terms of punctures on $\mathbb{CP}^{k-1}$. We find that whenever the double soft limit does not decouple into a product of single soft factors, the leading contributions to the double soft theorems come from the degenerate solutions, otherwise the non degenerate solutions dominate. Our analysis uses the regular solutions to the scattering equations. Most of the results are presented for $k=3$ but we show how they generalise to arbitrary $k$. We have explicit analytic results, for any $k$, in the case when soft external states are adjacent.

Published as SciPost Phys. 10, 036 (2021)

Author comments upon resubmission

We thank both the referees for their comments. In the introduction, as desired by the referees we have modified the third paragraph where we have elaborated on the motivation to study the double soft limit. Final paragraph of the discussion section has been modified where we point to some connections with one loop integrands derived by some of us. The cited article also addresses the double soft theorem from the perspective of Grassmannian cluster algebra which is a question raised by the second referee.

List of changes

1) Third paragraph of the introduction is new.

2) Final paragraph in the discussion section is modified.

3) Reference (69) is added.

Submission & Refereeing History

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Resubmission 2008.07271v3 on 31 January 2021

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