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One of the main motivations to look beyond the SM is the discrepancy betweenthe theoretical prediction and observation of anomalous magnetic moment ofmuon. Alleviating this tension between theory and experiment and satisfying thebounds from lepton flavor violation data simultaneously is a challenging task.In this paper, we consider generalised Two Higgs Doublet Model, with a Yukawastructure as a perturbation of Type X Two Higgs Doublet Model. In view of thismodel, we explore muon anomaly and lepton flavor violation along withconstraints coming from B-physics, theoretical constraints, electroweakobservables and collider data which can restrict the model parameter spacesignificantly. We find that within the framework of this model it is possibleto obtain regions allowed by all constraints, that can provide an explanationfor the observed muon anomaly and at the same time predicts interestingsignatures of lepton flavor violation. Furthermore, we consider the flavorviolating decay of low-mass CP-odd scalar to probe the allowed parameter spaceat future runs of the LHC. With simple cut-based analysis we show that part ofthat parameter space can be probed with significance $> 5 \sigma$. We alsoprovide Artificial Neural Network analysis which definitely improves ourcut-based results significantly.

Revisiting Generalized Two Higgs Doublet Model in the Light of Muon Anomaly and Lepton Flavor Violating Decays at HL-LHC