Probing anomalous $WW\gamma$ Triple Gauge Bosons Coupling at LHeC

Abstract

The precision measurement of the $WW\gamma$ vertex at the future Large Hadron electron Collider (LHeC) at CERN is discussed in this paper. We propose to measure this vertex in the $e^{-}p\to e^{-}{W}^{\pm }j$ channel as a complement to the conventional charged current ${\nu }_e\gamma j$ channel. In addition to the cross section measurement, ${\chi }^2$ method studies of angular variables provide powerful tools to probe the anomalous structure of triple gauge boson couplings. We study the distribution of the well-known azimuthal angle between the final state forward electron and jet in this vector-boson fusion (VBF) process. On the other hand, full reconstruction of leptonic $W$ decay opens a new opportunity to measure $W$ polarization that is also sensitive to the anomalous triple gauge boson couplings. Taking into consideration the superior determination of parton distribution functions~(PDFs) based on future LHeC data, the constraints of ${\lambda }_{\gamma }$ and $\Delta {\kappa }_{\gamma }$ might reach up to $\mathcal{O}(10^{-3})$ level in the most ideal case with the 2--3~ab${}^{-1}$ data set, which shows a potential advantage compared to those from LHC and LEP data.

arXiv comment15 pages, 8 figures

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• Pinning down Anomalous $WW\gamma$ Couplings at the LHC
• Model independent study for the anomalous $W^{+}{W}^{-}\gamma$ couplings at the future lepton-hadron colliders
• Sensitivity analysis for the anomalous $W^{+}{W}^{-}\gamma$ couplings at the LHeC and the FCC-he
• Role of polarizations and spin-spin correlations of $W^{\prime }s$ in $e^{-}{e}^{+}\to W^{-}{W}^{+}$ at $\sqrt{s}=250$ GeV to probe anomalous $W^{-}{W}^{+}Z/\gamma$ couplings
• Differential distributions for Single Top Quark Production at the LHeC
• Search for the anomalous $WW\gamma$ couplings through the process $e^{-}{e}^{+}\to {\nu }_e{\bar{\nu }}_e\gamma$ at ILC with unpolarized and polarize beams
• Investigation of anomalous triple gauge couplings in $\mu \gamma$ collision at multi-TeV muon colliders
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