Type-II seesaw phenomenology at a photon collider: $\gamma\gamma\to H^{\pm\pm}H_1^{\mp}H_1^{\mp}$ cross sections exceed the $e^+e^-$ ones by an order of magnitude, giving $5\sigma$ reach in $4\ell+\slashed{E}_T$ at $\sqrt{s}=830$ and $1245$ GeV. The doubly charged scalar is the smoking gun of the triplet Yukawa that generates $m_\nu$, so its production channels matter for testing type-II directly.
hep-phAbstract
High-energy $γγ$ collisions, realizable as an operational mode of future lepton linear colliders such as the ILC and CLIC, provide a promising environment to probe extended Higgs sectors. We investigate the sensitivity of such colliders to doubly charged Higgs bosons within the 2-Higgs Doublet Model with type-II seesaw (2HDMcT). Focusing on the three-body production channels $γγ\to H^{\pm\pm}H_1^{\mp}H_1^{\mp}$ and $γγ\to H^{\pm\pm}H_1^{\mp}W^{\mp}$, we perform a parameter space scan consistent with theoretical constraints as well as current collider, flavor, and electroweak precision observables (EWPOs). We show that $γγ$ collisions can rival the discovery potential of the conventional $e^+e^-$ mode for probing doubly charged Higgs bosons through a $4\ell+E_T^{miss}$ signature ($\ell=e,μ$). Despite the reduced effective luminosity resulting from the photon spectrum, the significantly enhanced production cross sections, exceeding those in electron-positron collisions by more than one order of magnitude, compensate for this limitation. By performing a detailed signal-to-background analysis at center-of-mass energies of $\sqrt{s}=830$ and $1245$ GeV, we demonstrate that a discovery significance at the $5σ$ level can be achieved for viable benchmark points (BPs).