Badger, Simon and Brønnum-Hansen, Christian and Buciuni, Francesco and O’Connell, Donal (2017) 'A unitarity compatible approach to one-loop amplitudes with massive fermions.', Journal of high energy physics., 2017 (6). p. 141.
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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|Publisher Web site:||https://doi.org/10.1007/JHEP06(2017)141|
|Publisher statement:||This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.|
|Date accepted:||20 June 2017|
|Date deposited:||25 July 2017|
|Date of first online publication:||27 June 2017|
|Date first made open access:||No date available|
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