Model independent study for the anomalous quartic $WW\gamma \gamma$ couplings at Future Electron-Proton Colliders

Abstract

The Large Hadron Electron Collider and the Future Circular Collider-hadron electron with high center-of-mass energy and luminosity allow to better understand the Standard Model and to examine new physics beyond the Standard Model in the electroweak sector. Multi-boson processes permit for a measurement of the gauge boson self-interactions of the Standard Model that can be used to determine the anomalous gauge boson couplings. For this purpose, we present a study of the process $ep\to {\nu }_e\gamma \gamma j$ at the Large Hadron Electron Collider with center-of-mass energies of 1.30, 1.98 TeV and at the Future Circular Collider-hadron electron with center-of-mass energies of 7.07, 10 TeV to interpret the anomalous quartic $WW\gamma \gamma$ gauge couplings using a model independent way in the framework of effective field theory. We obtain the sensitivity limits at $95\%$ Confidence Level on 13 different anomalous couplings arising from dimension-8 operators. The best limit in $f_{Mi}/{\Lambda }^4$ ($i=0,1,2,3,4,5,7$) parameters is obtained for $f_{M2}/{\Lambda }^4$ parameter while the best sensitivity derived on $f_{Ti}/{\Lambda }^4$ ($i=0,1,2,5,6,7$) parameters is obtained for $f_{T5}/{\Lambda }^4$. In addition, this study is the first report on the anomalous quartic couplings determined by effective Lagrangians at $ep$ colliders.

arXiv comment28 Pages, 15 Figures and 7 Tables

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• Constraints on anomalous quartic gauge couplings via $W\gamma jj$ production at the LHC
• Probing anomalous quartic $\gamma \gamma \gamma \gamma$ couplings in light-by-light collisions at the CLIC
• Study on the anomalous quartic $W^{+}{W}^{-}\gamma \gamma$ couplings of electroweak bosons in $e^{-}p$ collisions at the LHeC and the FCC-he
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