On Naturalness of the (N)MSSM

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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27 pages, 8 figures. Some references added. English greatly improved and typos corrected

Scientific paper

We evaluate the naturalness of m_Z/m_h in the (N)MSSM using bottom-up method. Given light stops and for m_Z alone, the LHC gluino search implies that the degree of fine tuning in both models \lesssim2.5%. However, took the hints for m_h\sim125 GeV serious, the naturalness will favor the NMSSM. Then we give an anatomy of the NMSSM effect lifting m_h, and investigate several scenarios: (1) A large \lambda with push or pull (but not decoupling) effect on m_h due to doublet-singlet mixing, the former shows 2\gamma excess readily whereas the latter is not. We point out the push scenario incurs a new acute fine tuning. (2) Small \lambda with push effect can also lift m_h, although not so effective (and generically worse naturalness) neither shows significant di-photon excess. In any scenarios, the LSP is strongly excluded by the XENON100, even survives still disfavored by naturalness. The above naturalness evaluation is based on high mediation scale, whereas for low mediation scale, the naturalness can be improved about one order.

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