Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fixing the EW scale in supersymmetric models after the Higgs discovery   TeV-scale supersymmetry was originally introduced to solve the hierarchy
problem and therefore fix the electroweak (EW) scale in the presence of quantum
corrections. Numerical methods testing the SUSY models often report a good
likelihood L (or chi^2=-2ln L) to fit the data {\it including} the EW scale
itself (m_Z^0) with a {\it simultaneously} large fine-tuning i.e. a large
variation of this scale under a small variation of the SUSY parameters. We
argue that this is inconsistent and we identify the origin of this problem. Our
claim is that the likelihood (or chi^2) to fit the data that is usually
reported in such models does not account for the chi^2 cost of fixing the EW
scale. When this constraint is implemented, the likelihood (or chi^2) receives
a significant correction (delta_chi^2) that worsens the current data fits of
SUSY models. We estimate this correction for the models: constrained MSSM
(CMSSM), models with non-universal gaugino masses (NUGM) or higgs soft masses
(NUHM1, NUHM2), the NMSSM and the general NMSSM (GNMSSM). For a higgs mass
m_h\approx 126 GeV, one finds that in these models (delta_chi^2)/ndf> 1.5
(approx 1 for GNMSSM), which violates the usual condition of a good fit (total
chi^2/ndf approx 1) already before fitting observables other than the EW scale
itself (ndf=number of degrees of freedom). This has (negative) implications for
SUSY models and it is suggested that future data fits properly account for this
effect, if one remains true to the original goal of SUSY. Since the expression
of delta_chi^2 that emerges from our calculation depends on a familiar measure
of fine-tuning, one concludes that EW fine-tuning is an intrinsic part of the
likelihood to fit the data that includes the EW scale (m_Z^0).

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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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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: stat
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio