Double soft theorem for generalised biadjoint scalar amplitudes

Abhishek, Md; Hegde, Subramanya; Jatkar, Dileep; Saha, Arnab Priya

doi:10.21468/SciPostPhys.10.2.036

SciPost Physics

Double soft theorem for generalised biadjoint scalar amplitudes

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

SciPost Phys. 10, 036 (2021) · published 16 February 2021

doi: 10.21468/SciPostPhys.10.2.036
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.10.2.036
TI  - Double soft theorem for generalised biadjoint scalar amplitudes
PY  - 2021/02/16
UR  - https://scipost.org/SciPostPhys.10.2.036
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 10
IS  - 2
SP  - 036
A1  - Abhishek, Md
AU  - Hegde, Subramanya
AU  - Jatkar, Dileep
AU  - Saha, Arnab Priya
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.10.2.036,
	title={{Double soft theorem for generalised biadjoint scalar amplitudes}},
	author={Md. Abhishek and Subramanya Hegde and Dileep P. Jatkar and Arnab Priya Saha},
	journal={SciPost Phys.},
	volume={10},
	pages={036},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.10.2.036},
	url={https://scipost.org/10.21468/SciPostPhys.10.2.036},
}

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¹ हरीशचंद्र अनुसंधान संस्थान / Harish-Chandra Research Institute [HRI]