Bounds Reach of a Future Circular Collider on the Parameters of a Minimal Baryon-Lepton Symmetric Model

Abstract This paper investigates the physics potential of the proton–proton Future Circular Collider (FCC-hh) in the search for a new heavy gauge boson, $Z^{\prime }$, within the framework of the minimal Baryon minus Lepton number ($B-L$) symmetric model. We examine the exclusion limits on the mass of the $Z^{\prime }$ boson for various sets of coupling constants, utilizing leptonic decays, specifically $\ell ^+\ell ^-$. Using the DARKCAST framework, we compare the parameter constraints derived from previous experiments with the expected reach of the FCC-hh, providing insights into the collider’s sensitivity and potential to probe new physics beyond the Standard Model.