Bounds on supersymmetric effective operators from heavy diphoton searches

Abstract

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 (Lambda) 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 sigma similar to 1 fb, well above its MSSM value and in conflict with recent data. Both the b (b) over bar b and gg production mechanisms of H and A can contribute comparably to this. We examine the dependence of the diphoton cross-section sigma on the values of m(X), Lambda and tan beta, under the experimental constraints from the SM-like Higgs couplings hgg and h gamma gamma (due to mixing) and from the b (b) over bar and t (t) over bar searches. These give Lambda larger than similar to 5 TeV for m(X) 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 Lambda and thus outside the LHC reach.