One-loop calculations in the chirality-flow formalism
(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:
https://lup.lub.lu.se/record/875af845-a28e-49ce-ae26-0826d3ac4ed0
- author
- Lifson, Andrew LU ; Sjodahl, Malin LU and Plätzer, Simon LU
- organization
- publishing date
- 2023-03-06
- 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}}, }