New relations for tree-level form factors and scattering amplitudes
arXiv:2208.00592 · doi:10.1007/JHEP02(2023)076
Abstract
We show that tree-level form factors with length-two operators in Yang-Mills-scalar (YMS) theory exhibit structures very similar to scattering amplitudes of gluons and scalars, which leads to new relations between them. Just like amplitudes, -point Yang-Mills form factors with operator can be decomposed as a linear combination of form factors with operator and external scalars in YMS theory, where the coefficients are given by Lorentz products of the linearized field strengths. Moreover, we show that any such -point form factor of operator can be further expanded into -point YMS amplitudes with an additional off-shell scalar leg. In addition to unravelling hidden structures, our results provide an efficient algorithm for computing all-multiplicity length-two form factors in any dimension, as well as their Cachazo-He-Yuan formulae via those of the YMS amplitudes.
arXiv comment27 pages+ appendices; ver2, minor modifications, typo corrected
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