Detecting a μτ-philic Z' boson via photon initiated processes at the LHC

Discrepancy between the measured value and the Standard Model prediction of the muon anomalous magnetic moment is a possible hint for new physics. A $Z^\prime$ particle with $μτ$ flavor violating couplings can give a large contribution to the muon anomalous magnetic moment due to the $τ$ mass enhancement at the one-loop level, and is known to explain the above discrepancy. In this paper, we study the potential of the Large Hadron Collider (LHC) for detecting such a $Z^\prime$ boson via the $p p \toμ^-μ^-τ^+τ^+$ process. Earlier studies in the literature only considered the production channel with quark initial states ($p p \to q \bar q \toμ^-μ^-τ^+τ^+$). Here, we show that the photon initiated process, $p p \to γγ\to μ^-μ^-τ^+τ^+$, is in fact the dominant production mode, for a heavy $Z^\prime$ boson of mass greater than a few hundred GeV. The potential of the high luminosity (HL) LHC is also considered.

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