Full positivity bounds for anomalous quartic gauge couplings in SMEFT
- 1University of Science and Technology of China
- 2Peng Huanwu Center for Fundamental Theory
Abstract
A bstract : Electroweak boson scattering at the LHC provides a crucial avenue for probing physics beyond the Standard Model, particularly regarding deviations in quartic gauge couplings. We derive the complete set of positivity bounds for the 22 dimension-8 anomalous quartic gauge coupling (aQGC) coefficients within the Standard Model Effective Field Theory (SMEFT). Moving beyond previous studies limited to transverse vector bosons, our analysis incorporates all electroweak boson modes, explicitly constructing the extremal rays (ERs) of the positivity cone through a group theoretic framework. We utilize two independent methods — direct construction and Casimir operator analysis — to determine these rays, addressing complexities such as parity-violating operators and continuous parameter degeneracies. Our results indicate that the positivity bounds impose severe constraints, restricting the physically viable parameter space to approximately 0.05255% of the naive total space. Furthermore, we derive linear analytical bounds for various operator combinations and provide an easy-to-use Python package, SMEFTaQGC, which implements algorithms to numerically verify positivity and compute the optimized positivity bounds for general aQGC configurations.
Related
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- Search for anomalous couplings in WW and WZ production with single-lepton final states in proton-proton collisions at √s = 13 TeV
- Probing anomalous Wtb couplings through bW spin correlations in top-quark pair production at the HL-LHC
BibTeX
@article{chang2026full,
title = {{Full positivity bounds for anomalous quartic gauge couplings in SMEFT}},
author = {Fu-Ming Chang and Zhuo-Yan Chen and Shuang-Yong Zhou},
journal = {Journal of High Energy Physics},
year = {2026},
month = nov,
doi = {10.1007/jhep11(2026)057},
url = {https://link.springer.com/article/10.1007/JHEP11(2026)057},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Full positivity bounds for anomalous quartic gauge couplings in SMEFT
AU - Fu-Ming Chang
AU - Zhuo-Yan Chen
AU - Shuang-Yong Zhou
PY - 2026
DA - 2026/11/06
JO - Journal of High Energy Physics
DO - 10.1007/jhep11(2026)057
UR - https://link.springer.com/article/10.1007/JHEP11(2026)057
AB - A bstract : Electroweak boson scattering at the LHC provides a crucial avenue for probing physics beyond the Standard Model, particularly regarding deviations in quartic gauge couplings. We derive the complete set of positivity bounds for the 22 dimension-8 anomalous quartic gauge coupling (aQGC) coefficients within the Standard Model Effective Field Theory (SMEFT). Moving beyond previous studies limited to transverse vector bosons, our analysis incorporates all electroweak boson modes, explicitly constructing the extremal rays (ERs) of the positivity cone through a group theoretic framework. We utilize two independent methods — direct construction and Casimir operator analysis — to determine these rays, addressing complexities such as parity-violating operators and continuous parameter degeneracies. Our results indicate that the positivity bounds impose severe constraints, restricting the physically viable parameter space to approximately 0.05255% of the naive total space. Furthermore, we derive linear analytical bounds for various operator combinations and provide an easy-to-use Python package, SMEFTaQGC, which implements algorithms to numerically verify positivity and compute the optimized positivity bounds for general aQGC configurations.
SN - 1029-8479
ER -