One-loop calculations in the chirality-flow formalism

Autor(en)

Andrew Lifson, Malin Sjödahl, Simon Plätzer

Abstrakt

In a few recent papers we introduced the chirality-flow formalism, which builds on the spinor-helicity formalism, but incorporates the Fierz identity into the Feynman rules. Calculations at tree level are thereby trivial, often to the extent that it is possible to immediately write down a tree-level Feynman diagram in terms of spinor inner products. This simplification persists in tree-level computer implementations, giving very sizable speedups. In the present paper, we argue that there is also a significant simplification of the Lorentz structure at the one-loop level when using the four-dimensional formulation of the four-dimensional helicity scheme. As at tree level, the gauge reference vector for external gauge bosons, and the simplified Lorentz structure lead to significant shortening of the calculations. 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.

Organisation(en)

Teilchenphysik

Externe Organisation(en)

Lund University, Karl-Franzens-Universität Graz

Journal

Physical Review D

Band

110

Anzahl der Seiten

17

ISSN

2470-0010

DOI

https://doi.org/10.48550/arXiv.2303.02125

Publikationsdatum

07-2024

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/5759234f-eb96-43f0-b380-35e4c7085223