Bounds on supersymmetric effective operators from heavy diphoton searches

We identify the bounds on supersymmetric effective operators beyond minimal supersymmetric models (MSSM, etc.), from heavy diphoton resonance (X) negative searches at the LHC, where X is identified with the neutral CP-even (odd), H(A) or both (mass degenerate). While MSSM-like models comply with the data, a leading effective operator of d = 6 can contribute significantly to diphoton production σ ∼ 1 fb, well above its MSSM value and in conflict with recent data. Both the bb̄ and gg production mechanisms of H and A can contribute comparably to this. We examine the dependence of the diphoton cross-section σ on the values of mX, Λ and tan β, under the experimental constraints from the SM-like Higgs couplings hgg and hγγ (due to mixing) and from the bb̄ and tt̄ searches. These give Λ larger than ∼ 5 TeV for mX in the range 0.5–1 TeV. We show how to generate the d = 6 effective operator from microscopic (renormalizable) models. This demands the presence of vector-like states beyond the MSSM spectrum (and eventually, but not necessarily a gauge singlet), of mass near Λ and thus outside the LHC reach.