Perturbative unitarity and the four-point vertices in the constructive standard model
Creators
- 1. Department of Physics, Illinois State University, Normal, Illinois 61790, USA
Description
We find a complete set of four-point vertices in the constructive Standard Model (CSM). This set is smaller than in Feynman diagrams as the CSM does not need or allow any additional four-point vertices (or "contact" terms) beyond what is present in Feynman diagrams and, furthermore, it does not need or allow a four-point vertex for , , or , in addition to the already known absence of the four-gluon vertex. We show that with this set of four-point vertices, perturbative unitarity is satisfied in the CSM. Additionally, we show that many constructive diagrams are not Feynman diagrams rewritten in spinor form. In fact, we show that there is a significant rearrangement of contributions from the diagrams in constructive calculations relative to Feynman diagrams for some processes. In addition to the already known or expected rearrangement in diagrams involving external photons, we also find that diagrams involving four-vector bosons are also significantly different from their Feynman counterparts.
Files
10.1103_PhysRevD.109.116014.pdf
Files
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Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.109.116014;
- arXiv
- arXiv:2403.07977;
Publishing Information
- Journal Title
- Physical Review D
- Journal Volume
- 109
- Journal Issue
- 11
- Journal Page Range
- 20 pgs.
- ISSN
- 1089-4918
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- FEYNMAN DIAGRAM; GLUON MODEL; GLUON-GLUON INTERACTIONS; GLUONS; OPERATOR PRODUCT EXPANSION; PERTURBATION THEORY; PHOTONS; PROPAGATOR; SPINORS; STANDARD MODEL; UNITARITY; VECTORS; VERTEX FUNCTIONS; W MINUS BOSONS; W PLUS BOSONS
Optional Information
- Notes
- Contact Email: nchris3@ilstu.edu; Record automatically processed