Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Naturalness of the MSSM and NMSSM   With a bottom-up approach, we consider naturalness in the MSSM and NMSSM.
Assuming the light stops, the LHC gluino search implies that the degree of fine
tuning in both models is less than 2.5%. Taking the LHC hints for the SM-like
Higgs boson mass m_h\sim125 GeV seriously, we find that naturalness will favor
the NMSSM. We study the Higgs boson mass for several scenarios in the NMSSM:
(1) A large \lambda and the doublet-singlet Higgs boson mixing effect pushing
upward or pulling downward m_h. The former case can readily give the di-photon
excess of the Higgs boson decay whereas the latter case can not. However, we
point out that the former case has a new large fine-tuning related to strong
\lambda-RGE running effect and vacuum stability. (2) A small \lambda and the
mixing effect pushing m_h upward. Naturalness status becomes worse and no
significant di-photon excess can be obtained. In these scenarios, the lightest
supersymmetric particle (LSP) as a dark matter candidate is strongly disfavored
by the XENON100 experiment. Even if the LSP can be a viable dark matter
candidate, there does exist fine-tuning. The above naturalness evaluation is
based on a high mediation scale for supersymmetry breaking, whereas for a low
mediation scale, fine-tuning can be improved by about one order.

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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex