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2012

The fine-tuning cost of the likelihood in SUSY models

Ghilencea, D. M., Ross, G. G.

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In SUSY models, the fine tuning of the electroweak (EW) scale with respect to their parameters gamma_i={m_0, m_{1/2}, mu_0, A_0, B_0,...} and the maximal likelihood L to fit the experimental data are usually regarded as two different problems.

We show that, if one regards the EW minimum conditions as constraints that fix the EW scale, this commonly held view is not correct and that the likelihood contains all the information about fine-tuning.
In this case we show that the corrected likelihood is equal to the ratio L/Delta of the usual likelihood L and the traditional fine tuning measure Delta of the EW scale.
A similar result is obtained for the integrated likelihood over the set {gamma_i}, that can be written as a surface integral of the ratio L/Delta, with the surface in gamma_i space determined by the EW minimum constraints.

The fine-tuning cost of the likelihood in SUSY models · Around

Built on

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Similar

For a detailed discussion of integrated likelihood see: J.O. Berger, B. Liseo, R.L. Wolpert, “Integrated likelihood methods for eliminating nuisance parameters”, Statistical Science 1999, vol.14, No.1, 1-28
1999
Cited alongside, same era.
M. E. Cabrera, J. A. Casas and R. Ruiz de Austri, “Bayesian approach and Naturalness in MSSM analyses for the LHC,” JHEP 0903
Original
2006
Cited alongside, same era.
G. G. Ross, K. Schmidt-Hoberg and F. Staub, “The generalised NMSSM at one loop: fine tuning and phenomenology,” arXiv:1205.1509 [hep-ph]. S. Cassel, D. M. Ghilencea and G. G. Ross, “Testing SUSY at the LHC: Electroweak and Dark matter fine tuning at two-loop order,” Nucl. Phys. B 835
Original
2010
Cited alongside, same era.
D. M. Ghilencea, H. M. Lee and M. Park, “Tuning supersymmetric models at the LHC: A comparative analysis at two-loop level,” arXiv:1203.0569 [hep-ph]
Original
Cited in the paper.
A. Strumia, “Naturalness of supersymmetric models,” hep-ph/9904247
Cited in the paper.

Then

See for example: A. Strumia, “The Fine-tuning price of the early LHC” JHEP 1104
Original
2011
Later among the works it cites.
The ATLAS collaboration, “Observation of an Excess of Events in the Search for the Standard Model Higgs boson with the ATLAS detector at the LHC”, ATLAS-CONF-2012-093. The CMS Collaboration, “Observation of a new boson with a mass near 125 GeV”, CMS-PAS-HIG-12-020
2012
Closest in time.
P. Bechtle, T. Bringmann, K. Desch, H. Dreiner, M. Hamer, C. Hensel, M. Kramer and N. Nguyen et al
Original
2012
Closest in time.

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