Revisiting for maximal flavor violating Z^'₄ and its phenomenology constraints

Lepton flavor violation (LFV), observed conclusively in neutrino oscillations, remains a pivotal area of investigation due to its absence in the Standard Model (SM). Beyond the Standard Model (BSM) physics explores charged lepton flavor violation (CLFV), particularly through new particle candidates such as the Z^'. This article focuses on maximal LFV interactions facilitated by the Z^' boson, specifically targeting its off-diagonal interactions with the first and second generations of charged and neutral leptons. In our ultraviolet (UV) model for the origin of the Z^', inspired by the work of R. Foot et al. , ~arxiv: hep-ph/9401250, we utilize the discrete Z₂ symmetry to investigate the maximal LFV mediated by the Z^' between the muon () and electron (e) arising from the additional scalars. This symmetry prohibits flavor-conserving interactions between Z' and ^+^-, \, e^+e^-. In conjunction with collider, (g-2) _, (g-2) ₑ, inverse decay and LFV decay constraints, we provide forecasts for anticipated limits derived from processes such as _ N ₑ ^+ e^- N in neutrino trident experiments like the DUNE experiment. These limits highlight the prospective scope and significance of LFV investigations within these experimental frameworks. From the range of mass between 0. 01 GeV and 10 GeV, the most stringent limit arise from B (e + X +) for Mₙ^' < m_ while neutrino trident processes constrain effectively as Mₙ^' 10 GeV.