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The Chirality-Flow Formalism for Standard Model Calculations

Alnefjord, Joakim ; Lifson, Andrew LU ; Reuschle, Christian LU orcid and Sjödahl, Malin LU (2022) 14th International Workshop on Lie Theory and Its Applications in Physics, LT 2021 In Springer Proceedings in Mathematics and Statistics 396. p.387-394
Abstract

Scattering amplitudes are often split up into their color (su(N) ) and kinematic components. Since the su(N) gauge part can be described using flows of color, one may anticipate that the su(2 ) ⊕ su(2 ) kinematic part can be described in terms of flows of chirality. In two recent papers we showed that this is indeed the case, introducing the chirality-flow formalism for standard model calculations. Using the chirality-flow method—which builds on and further simplifies the spinor-helicity formalism—Feynman diagrams can be directly written down in terms of Lorentz-invariant spinor inner products, allowing the simplest and most direct path from a Feynman diagram to a complex number. In this presentation, we introduce this method and show... (More)

Scattering amplitudes are often split up into their color (su(N) ) and kinematic components. Since the su(N) gauge part can be described using flows of color, one may anticipate that the su(2 ) ⊕ su(2 ) kinematic part can be described in terms of flows of chirality. In two recent papers we showed that this is indeed the case, introducing the chirality-flow formalism for standard model calculations. Using the chirality-flow method—which builds on and further simplifies the spinor-helicity formalism—Feynman diagrams can be directly written down in terms of Lorentz-invariant spinor inner products, allowing the simplest and most direct path from a Feynman diagram to a complex number. In this presentation, we introduce this method and show some examples.

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author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Chirality flow, Feynman rules, Spinor-helicity formalism
host publication
International Workshop on Lie Theory and Its Applications in Physics
series title
Springer Proceedings in Mathematics and Statistics
editor
Dobrev, Vladimir
volume
396
pages
8 pages
publisher
Springer Gabler
conference name
14th International Workshop on Lie Theory and Its Applications in Physics, LT 2021
conference location
Virtual, Online
conference dates
2021-06-21 - 2021-06-25
external identifiers
  • scopus:85148032687
ISSN
2194-1017
2194-1009
ISBN
9789811947506
DOI
10.1007/978-981-19-4751-3_34
language
English
LU publication?
yes
id
0a00fccf-6a2e-43b6-9346-2323bbbc5667
date added to LUP
2023-03-08 14:48:12
date last changed
2024-04-04 06:07:52
@inproceedings{0a00fccf-6a2e-43b6-9346-2323bbbc5667,
  abstract     = {{<p>Scattering amplitudes are often split up into their color (su(N) ) and kinematic components. Since the su(N) gauge part can be described using flows of color, one may anticipate that the su(2 ) ⊕ su(2 ) kinematic part can be described in terms of flows of chirality. In two recent papers we showed that this is indeed the case, introducing the chirality-flow formalism for standard model calculations. Using the chirality-flow method—which builds on and further simplifies the spinor-helicity formalism—Feynman diagrams can be directly written down in terms of Lorentz-invariant spinor inner products, allowing the simplest and most direct path from a Feynman diagram to a complex number. In this presentation, we introduce this method and show some examples.</p>}},
  author       = {{Alnefjord, Joakim and Lifson, Andrew and Reuschle, Christian and Sjödahl, Malin}},
  booktitle    = {{International Workshop on Lie Theory and Its Applications in Physics}},
  editor       = {{Dobrev, Vladimir}},
  isbn         = {{9789811947506}},
  issn         = {{2194-1017}},
  keywords     = {{Chirality flow; Feynman rules; Spinor-helicity formalism}},
  language     = {{eng}},
  pages        = {{387--394}},
  publisher    = {{Springer Gabler}},
  series       = {{Springer Proceedings in Mathematics and Statistics}},
  title        = {{The Chirality-Flow Formalism for Standard Model Calculations}},
  url          = {{http://dx.doi.org/10.1007/978-981-19-4751-3_34}},
  doi          = {{10.1007/978-981-19-4751-3_34}},
  volume       = {{396}},
  year         = {{2022}},
}