Abstract
We explain how one-loop amplitudes with massive fermions can be computed using only on-shell information. We first use the spinor-helicity formalism in six dimensions to perform generalised unitarity cuts in d dimensions. We then show that divergent wave-function cuts can be avoided, and the remaining ambiguities in the renormalised amplitudes can be fixed, by matching to universal infrared poles in 4 − 2ϵ dimensions and ultraviolet poles in 6 − 2ϵ dimensions. In the latter case we construct an effective Lagrangian in six dimensions and reduce the additional constraint to an on-shell tree-level computation.
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Badger, S., Brønnum-Hansen, C., Buciuni, F. et al. A unitarity compatible approach to one-loop amplitudes with massive fermions. J. High Energ. Phys. 2017, 141 (2017). https://doi.org/10.1007/JHEP06(2017)141
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DOI: https://doi.org/10.1007/JHEP06(2017)141