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Automating scattering amplitudes with chirality flow

Lifson, Andrew LU ; Sjödahl, Malin LU and Wettersten, Zenny (2022) In European Physical Journal C 82(6).
Abstract

Recently we introduced the chirality-flow formalism, a method which builds on the spinor-helicity formalism and is inspired by the color-flow idea in QCD. With this formalism, Feynman rules and diagrams are simplified to the extent that it is often possible to immediately, by hand, write down a helicity amplitude given a Feynman diagram. In this paper we show that the method can also speed up numerical evaluation of scattering amplitudes by considering e+e- going to n photons in a MadGraph-based tree-level implementation. We find that the computation time is reduced by roughly a factor ten for six photons, and that it scales better with the number of external particles than the default MadGraph5_aMC@NLO... (More)

Recently we introduced the chirality-flow formalism, a method which builds on the spinor-helicity formalism and is inspired by the color-flow idea in QCD. With this formalism, Feynman rules and diagrams are simplified to the extent that it is often possible to immediately, by hand, write down a helicity amplitude given a Feynman diagram. In this paper we show that the method can also speed up numerical evaluation of scattering amplitudes by considering e+e- going to n photons in a MadGraph-based tree-level implementation. We find that the computation time is reduced by roughly a factor ten for six photons, and that it scales better with the number of external particles than the default MadGraph5_aMC@NLO implementation. This performance gain is in part attributed to the more compact Lorentz structures involved, and in part due to a transparent choice of gauge reference vectors which reduces the number of Feynman diagrams considered.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
European Physical Journal C
volume
82
issue
6
article number
535
publisher
Springer
external identifiers
  • scopus:85132102945
ISSN
1434-6044
DOI
10.1140/epjc/s10052-022-10455-1
project
The Chirality-Flow Formalism and Optimising Scattering Amplitudes
language
English
LU publication?
yes
id
58d9a4e0-86ab-4a6f-8180-61c0f736fa2f
date added to LUP
2022-09-05 08:40:38
date last changed
2024-04-18 13:33:04
@article{58d9a4e0-86ab-4a6f-8180-61c0f736fa2f,
  abstract     = {{<p>Recently we introduced the chirality-flow formalism, a method which builds on the spinor-helicity formalism and is inspired by the color-flow idea in QCD. With this formalism, Feynman rules and diagrams are simplified to the extent that it is often possible to immediately, by hand, write down a helicity amplitude given a Feynman diagram. In this paper we show that the method can also speed up numerical evaluation of scattering amplitudes by considering e<sup>+</sup>e<sup>-</sup> going to n photons in a MadGraph-based tree-level implementation. We find that the computation time is reduced by roughly a factor ten for six photons, and that it scales better with the number of external particles than the default MadGraph5_aMC@NLO implementation. This performance gain is in part attributed to the more compact Lorentz structures involved, and in part due to a transparent choice of gauge reference vectors which reduces the number of Feynman diagrams considered.</p>}},
  author       = {{Lifson, Andrew and Sjödahl, Malin and Wettersten, Zenny}},
  issn         = {{1434-6044}},
  language     = {{eng}},
  number       = {{6}},
  publisher    = {{Springer}},
  series       = {{European Physical Journal C}},
  title        = {{Automating scattering amplitudes with chirality flow}},
  url          = {{http://dx.doi.org/10.1140/epjc/s10052-022-10455-1}},
  doi          = {{10.1140/epjc/s10052-022-10455-1}},
  volume       = {{82}},
  year         = {{2022}},
}