Soft matters, or the recursions with massive spinors

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Publication:2048069

DOI10.1007/JHEP05(2021)238zbMATH Open1466.83063arXiv2005.08981OpenAlexW3165772728MaRDI QIDQ2048069

Author name not available (Why is that?)

Publication date: 4 August 2021

Published in: (Search for Journal in Brave)

Abstract: We discuss recursion relations for scattering amplitudes with massive particles of any spin. They are derived via a two-parameter shift of momenta, combining a BCFW-type spinor shift with the soft limit of a massless particle involved in the process. The technical innovation is that spinors corresponding to massive momenta are also shifted. Our recursions lead to a reformulation of the soft theorems. The well-known Weinberg's soft factors are recovered and, in addition, the subleading factors appear reshaped such that they are directly applicable to massive amplitudes in the modern on-shell language. Moreover, we obtain new results in the context of non-minimal interactions of massive matter with photons and gravitons. These soft theorems are employed for practical calculations of Compton and higher-point scattering. As a by-product, we introduce a convenient representation of the Compton scattering amplitude for any mass and spin.


Full work available at URL: https://arxiv.org/abs/2005.08981



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