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Tree level amplitudes from soft theorems

Kang Zhou
Dec 2022
摘要
We demonstrate that the tree level amplitudes and the explicit formulas ofsoft factors can be uniquely determined by soft theorems and the universalityof soft factors. By imposing the soft theorems and the universality, wereconstruct single trace Yang-Mills-scalar amplitudes and pure Yang-Millsamplitudes, in the expanded formulas. The explicit formulas of soft factors forthe bi-adjoint scalar and gluon are also determined. The expansions ofYang-Mills-scalar and Yang-Mills amplitudes can be extended toEinstein-Yang-Mills and gravitational amplitudes, and we use the expandedsingle trace Einstein-Yang-Mills amplitudes to reproduce the soft factors forthe graviton.
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