Search for the electromagnetic moments of the $\tau$ lepton in photon-photon collisions at the LHeC and the FCC-he

Abstract

We examine the potential of the process $ep\to e{\gamma }^{\ast }{\gamma }^{\ast }p\to e\tau \bar{\tau }p$ at the Large Hadron Electron Collider (LHeC) and the Future Circular Hadron Electron Collider (FCC-he) to examine non-standard $\tau \bar{\tau }\gamma$ coupling in a model independent way by means of the effective Lagrangian approach. We perform pure leptonic and semileptonic decays for ${\tau }^{-}{\tau }^{+}$ production in the final state. Furthermore, we use $L=10,50,100,300,500,1000$ fb${}^{-1}$ with at $\sqrt{s}=1.30,1.98,7.07,10$ TeV and we consider systematic uncertainties of ${\delta }_{sys}=0,5,10\%$. The best sensitivity bounds obtained from the process $ep\to e{\gamma }^{\ast }{\gamma }^{\ast }p\to e\tau \bar{\tau }p$ on the anomalous couplings are $-0.0025<{\tilde{a}}_{\tau }<0.0009$ and $|\widetilde{d_{\tau }}|<8.85\times 10^{-18}ecm$, respectively. Therefore, our results show that the process $ep\to e{\gamma }^{\ast }{\gamma }^{\ast }p\to e\tau \bar{\tau }p$ at the LHeC and FCC-he are a very good prospect for probing the anomalous magnetic and electric dipole moments of the $\tau$ lepton at ${\gamma }^{\ast }{\gamma }^{\ast }$ mode of the future $ep$ collider.

arXiv comment36 pages, 14 figures and 10 tables, accepted for publication J. Phys. G: Nucl. Part. Phys

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• Quark level and hadronic contributions to the electric dipole moment of charged leptons in the standard model
• Anomalous electromagnetic moments of $\tau$ lepton in $\gamma \gamma \to {\tau }^{+}{\tau }^{-}$ reaction in Pb+Pb collisions at the LHC
• New physics and tau $g-2$ using LHC heavy ion collisions
• Nuclear electric dipole moment in the cluster model with a triton: ${}^7$Li and ${}^{11}$B
• Sensitivity physics expected to the measurement of the quartic $WW\gamma \gamma$ couplings at the LHeC and the FCC-he
• Strategy to measure tau $g-2$ via photon fusion in LHC proton collisions
• Tau $g-2$ at $e^{-}{e}^{+}$ colliders with momentum dependent form factor
• Constraints on $\tau$ electromagnetic moments via tau pair production at the Muon colliders
• Study $\gamma \gamma \to {\tau }^{+}{\tau }^{-}$ process including ${\tau }^{+}{\tau }^{-}$ spin information in Pb-Pb ultraperipheral collision and at Lepton collider