Dr Simon Badger simon.d.badger@durham.ac.uk
Visiting Professor
A unitarity compatible approach to one-loop amplitudes with massive fermions
Badger, Simon; Brønnum-Hansen, Christian; Buciuni, Francesco; O’Connell, Donal
Authors
Christian Brønnum-Hansen
Francesco Buciuni
Donal O’Connell
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.
Citation
Badger, S., Brønnum-Hansen, C., Buciuni, F., & O’Connell, D. (2017). A unitarity compatible approach to one-loop amplitudes with massive fermions. Journal of High Energy Physics, 2017(6), Article 141. https://doi.org/10.1007/jhep06%282017%29141
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 20, 2017 |
Online Publication Date | Jun 27, 2017 |
Publication Date | Jun 27, 2017 |
Deposit Date | Jul 25, 2017 |
Publicly Available Date | Jul 25, 2017 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Electronic ISSN | 1029-8479 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2017 |
Issue | 6 |
Article Number | 141 |
DOI | https://doi.org/10.1007/jhep06%282017%29141 |
Public URL | https://durham-repository.worktribe.com/output/1373020 |
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Copyright 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.
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