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2018

Infinite Soft Theorems from Gauge Symmetry

Li, Zhi-Zhong, Lin, Hung-Hwa, Zhang, Shun-Qing

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In this letter we show that the soft behaviour of photons and graviton amplitudes, after projection, can be determined to infinite order in soft expansion via ordinary on-shell gauge invariance.

In particular, as one of the particle's momenta becomes soft, gauge invariance relates the non-singular diagrams of an n-point amplitude to that of the singular ones up to possible homogeneous terms.
We demonstrate that with a particular projection of the soft-limit, the homogeneous terms do not contribute, and one arrives at an infinite soft theorem.
This reproduces the result recently derived from the Ward identity of large gauge transformations.

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