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Double Soft Theorem for Generalised Biadjoint Scalar Amplitudes
by Md. Abhishek, Subramanya Hegde, Dileep P. Jatkar, Arnab Priya Saha
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Md Abhishek · Subramanya Hegde · Dileep Jatkar · Arnab Saha |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2008.07271v3 (pdf) |
| Date accepted: | 2021-02-04 |
| Date submitted: | 2021-01-31 11:53 |
| Submitted by: | Abhishek, Md |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
Author comments upon resubmission
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.
Published as SciPost Phys. 10, 036 (2021)