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One-loop calculations in the chirality-flow formalism

Lifson, Andrew LU ; Sjodahl, Malin LU and Plätzer, Simon LU (2023)
Abstract
In a few recent papers we introduced the chirality-flow formalism, which was shown to make calculations of tree-level Feynman diagrams simple and transparent. Chirality flow, which is based on the spinor-helicity formalism, allows to often immediately analytically write down a tree-level Feynman diagram in terms of spinor inner products. In this paper, we argue that there is also a significant simplification of the Lorentz structure at the one-loop level, at least when using the four-dimensional formulation of the four-dimensional helicity scheme. Additionally, we find that the possible terms in a tensor decomposition of loop integrals are highly constrained, and therefore the tensor reduction procedure is simplified.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Working paper/Preprint
publication status
published
subject
pages
29 pages
project
The Chirality-Flow Formalism and Optimising Scattering Amplitudes
language
English
LU publication?
yes
id
875af845-a28e-49ce-ae26-0826d3ac4ed0
alternative location
https://arxiv.org/pdf/2303.02125
date added to LUP
2023-03-09 14:38:52
date last changed
2023-03-22 08:45:57
@misc{875af845-a28e-49ce-ae26-0826d3ac4ed0,
  abstract     = {{In a few recent papers we introduced the chirality-flow formalism, which was shown to make calculations of tree-level Feynman diagrams simple and transparent.  Chirality flow, which is based on the spinor-helicity formalism, allows to often immediately analytically write down a tree-level Feynman diagram in terms of spinor inner products.  In this paper, we argue that there is also a significant simplification of the Lorentz structure at the one-loop level, at least when using the four-dimensional formulation of the four-dimensional helicity scheme. Additionally, we find that the possible terms in a tensor decomposition of loop integrals are highly constrained, and therefore the tensor reduction procedure is simplified.}},
  author       = {{Lifson, Andrew and Sjodahl, Malin and Plätzer, Simon}},
  language     = {{eng}},
  month        = {{03}},
  note         = {{Preprint}},
  title        = {{One-loop calculations in the chirality-flow formalism}},
  url          = {{https://arxiv.org/pdf/2303.02125}},
  year         = {{2023}},
}