Many well-motivated extensions of the Standard Model predict new,
entirely bosonic sources of CP violation (CPV). In these scenarios,
the simultaneous observation of carefully selected bosonic processes
emerges as a simple yet powerful method to unambiguously reveal the
presence of CPV. The present study, which establishes a promising
framework of CPV searches for the upcoming HL-LHC era, showcases this
method by exploring the detectability of such generic CPV signatures
within the economical Complex Two-Higgs Doublet Model (C2HDM).
Specifically, we assess the observation prospects for viable
combinations of gluon fusion, vector boson fusion and V-associated
production processes which unequivocally signal the existence of
CP-violating couplings within the bosonic spectrum of the model. In
the last part of this talk, we will briefly explore an ongoing
promising extension of this method which rests on pure gluon fusion
signatures.
Based on arXiv:2507.05942, Phys. Rev. D 112 095005 and ongoing work