Measuring the Higgs self-coupling is one of the crucial physics goals at the LHC Run-2 and other future colliders. In this work, we attempt to figure out the size of SUSY effects on the trilinear self-coupling of the 125 GeV Higgs boson in the MSSM and NMSSM after the LHC Run-1. Taking account of current experimental constraints, such as the Higgs data, flavor constraints, electroweak precision observables and dark matter detections, we obtain the observations: (1) In the MSSM, the ratio lambda(MSSM)(3h)/lambda(SM)(3h) has been tightly constrained by the LHC data, which can be only slightly smaller than 1 and minimally reach 97%; (2) In the NMSSM with lambda < 0.7, a sizable reduction of lambda(MSSM)(3h2)/lambda(SM)(3h2) can occur and minimally reach 10% when the lightest CP-even Higgs boson mass m(h1)., is close to the SM-like Higgs boson m(h2), due to the large mixing angle between the singlet and doublet Higgs bosons; (3) In the NMSSM with lambda > 0.7, a large enhancement or reduction -1.1 < lambda(MSSM)(3h1)/lambda(SM)(3h1) < 2 can occur, which is accompanied by a sizable change of h(1)tau(+)tau(-) coupling. The future colliders, such as the HL-LHC and ILC, will have the capacity to test these large deviations in the NMSSM. (C) 2015 The Authors. Published by Elsevier B.V.
Australian Research Council
; CAS Center for Excellence in Particle Physics (CCEPP)
; National Natural Science Foundation of China (NNSFC) [11305049, 11275057, 11405047, 11275245, 10821504, 11135003]
; Specialized Research Fund for the Doctoral Program of Higher Education 
; U.S. National Science Foundation [PHY-1417326]