Unitarity and Positivity Constraints on C- or P-odd Anomalous Quartic Couplings
Abstract
In this work, we provide a comprehensive study of partial-wave unitarity and positivity constraints in the dimension-eight genuine anomalous quartic gauge coupling (aQGC) sector of the Standard Model Effective Field Theory (SMEFT). We extend previous partial-wave unitarity analyses to include all C- or P-odd operators, thereby completing the coverage of the full basis of 34 operators. We also derive an analytical set of necessary forward-limit positivity bounds that include all CP-odd Wilson coefficients. We demonstrate that non-vanishing CP-odd Wilson coefficients require non-vanishing contributions from the CP-even sector to satisfy the derived positivity conditions. Combining the positivity conditions with partial-wave unitarity, we obtain stronger bounds on twenty-three of the thirty-four Wilson coefficients in this sector of the SMEFT.
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BibTeX
@misc{eboli2026unitarity,
title = {{Unitarity and Positivity Constraints on C- or P-odd Anomalous Quartic Couplings}},
author = {Oscar J. P. Éboli and Álvaro Lozano-Onrubia and Samuel Rosende Herrero},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.00133},
eprint = {2611.00133},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.00133},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Unitarity and Positivity Constraints on C- or P-odd Anomalous Quartic Couplings
AU - Oscar J. P. Éboli
AU - Álvaro Lozano-Onrubia
AU - Samuel Rosende Herrero
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.00133
UR - https://arxiv.org/abs/2611.00133
AB - In this work, we provide a comprehensive study of partial-wave unitarity and positivity constraints in the dimension-eight genuine anomalous quartic gauge coupling (aQGC) sector of the Standard Model Effective Field Theory (SMEFT). We extend previous partial-wave unitarity analyses to include all C- or P-odd operators, thereby completing the coverage of the full basis of 34 operators. We also derive an analytical set of necessary forward-limit positivity bounds that include all CP-odd Wilson coefficients. We demonstrate that non-vanishing CP-odd Wilson coefficients require non-vanishing contributions from the CP-even sector to satisfy the derived positivity conditions. Combining the positivity conditions with partial-wave unitarity, we obtain stronger bounds on twenty-three of the thirty-four Wilson coefficients in this sector of the SMEFT.
ER -