2.1 Enhancing the di-photon rate with a charged Higgs 1.8 1.8 1.6 1.6 1.4 1.4 1.2 12 10 10 150 180 190 200 210 220 180 190 200 210 220 mH+[GeV] mH+[GeV] Figure 2:Approximate analysis at tree level in the(m,A)plane.Left panel:partial di- photon width from the charged Higgs normalized to the SM(top and W)contributions.Right panel:tree-level mass of the light doublet Higgs.The input parameters have been tan B=1.3, K=1.1,Heff =220 GeV and kAx =-500 GeV. The couplingg-in the GNMSSM is given by (taking all parameters real for simplicity) 知as8p0r-分++后-29ms2时2究 -vsin82(5-X)+(gf+95-22)cos28Zg 4[,A+V2μ+((4+，)+sim20]Zg (6) where denote the entries of the Higgs mixing matrix in the (hd,hs)-basis. In the MSSM limit the charged Higgs often reduces the effective coupling of the Higgs to two photons because of negative interference with the others contributions:the sign of the interaction is fixed by the electroweak parameters(tan B,g1,g2,Mz)and the Higgs mixing angle.In the(G)NMSSM,new contributions proportional to A2 and other singlet parameters arise.The terms proportional to the additional singlet parameters couple to the singlet fraction of the light Higgs.Since we are interested in a mostly SM-like Higgs 42.1 Enhancing the di-photon rate with a charged Higgs 1.2 1.4 1.6 1.8 2.25 2.75 180 190 200 210 220 1.0 1.2 1.4 1.6 1.8 mH+ [GeV] λ 50 75 100 120 130 150 180 190 200 210 220 1.0 1.2 1.4 1.6 1.8 mH+ [GeV] λ Figure 2: Approximate analysis at tree level in the (mH± , λ) plane. Left panel: partial di￾photon width from the charged Higgs normalized to the SM (top and W) contributions. Right panel: tree-level mass of the light doublet Higgs. The input parameters have been tan β = 1.3, κ = 1.1, µeff = 220 GeV and κAκ = −500 GeV. The coupling ghH+H− in the GNMSSM is given by (taking all parameters real for simplicity) ghH+H− = i 4  v cos β h 2(λ 2 − g 2 2 ) + (g 2 1 + g 2 2 − 2λ 2 ) cos 2β i Z h 1 − v sin β h 2(g 2 2 − λ 2 ) + (g 2 1 + g 2 2 − 2λ 2 ) cos 2β i Z h 2 − 4λ h vsλ + √ 2µ + ( √ 1 2 (Aλ + µs) + vsκ) sin 2β i Z h 3  (6) where Z h i denote the entries of the Higgs mixing matrix in the (hd, hu, s)-basis. In the MSSM limit the charged Higgs often reduces the effective coupling of the Higgs to two photons because of negative interference with the others contributions: the sign of the interaction is fixed by the electroweak parameters (tan β, g1, g2, MZ) and the Higgs mixing angle. In the (G)NMSSM, new contributions proportional to λ 2 and other singlet parameters arise. The terms proportional to the additional singlet parameters couple to the singlet fraction of the light Higgs. Since we are interested in a mostly SM-like Higgs 4