Correlated signals at the energy and intensity frontiers from non-Abelian kinetic mixing

We show that when a dark Abelian gauge sector and $\mathrm{SU}(2{)}_L$ kinetically mix it necessarily generates a relation between the kinetic mixing strength and the mass of the mediating particle. Remarkably, this correspondence maps the weak scale directly to the kinetic mixing strengths being probed by modern fixed-target experiments and next generation flavor factories. This illuminates the exciting possibility of correlated discoveries of a new particle at the LHC and a dark photon at intensity frontier experiments. To motivate the scenario, we construct a simple model and explore its phenomenology and constraints.

Figure 1

This figure shows regions of interest in the ($m_{\varphi }$,$\kappa$) plane. Starting from the top, the regions are where the new Higgs decays are greater than 10% of its SM expected total width (green region), where ${\mu }_D^2$ is tuned to $>10\%$ (above the thick orange curve) and where the electroweak cascade decays are faster than the $\kappa$ decays (below the green curve). Vertical dashed lines mark values of $\epsilon$, labeled at the top.

Figure 2

This figure shows the pair production cross section for various mass states of $\varphi$ at the $\sqrt{s}=13\mathrm{TeV}$ LHC. The different curves are two $\eta$ states (red), an $\eta$ and a ${\varphi }_R^0$ or ${\varphi }_I^0$ (orange) a $\chi$ and a ${\varphi }_R^0$ or ${\varphi }_I^0$ (green) and two $\chi$ states (blue). The legend is arranged in order of decreasing cross section. Curves were generated using the cteq6l parton distribution function of calchep [16].