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MSSM interpretations of the LHC discovery: light or heavy Higgs?

  • Regular Article - Theoretical Physics
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Abstract

A Higgs-like particle with a mass of about 126 GeV has been discovered at the LHC. Within the experimental uncertainties, the measured properties of this new state are compatible with those of the Higgs boson in the Standard Model (SM). While not statistically significant at present, the results show some interesting patterns of deviations from the SM predictions, in particular a higher rate in the γγ decay mode observed by ATLAS and CMS, and a somewhat smaller rate in the τ + τ − mode. The LHC discovery is also compatible with the predictions of the Higgs sector of the Minimal Supersymmetric Standard Model (MSSM), interpreting the new state as either the light or the heavy \(\mathcal{CP}\)-even MSSM Higgs boson. Within the framework of the MSSM with seven free parameters (pMSSM-7), we fit the various rates of cross section times branching ratio as measured by the LHC and Tevatron experiments under the hypotheses of either the light or the heavy \(\mathcal{CP}\)-even Higgs boson being the new state around 126 GeV, with and without the inclusion of further low-energy observables. We find an overall good quality of the fits, with the best fit points exhibiting an enhancement of the γγ rate, as well as a small suppression of the \(b \bar{b}\) and τ + τ − channels with respect to their SM expectations, depending on the details of the fit. For the fits including the whole dataset the light \(\mathcal{CP}\)-even Higgs interpretation in the MSSM results in a higher relative fit probability than the SM fit. On the other hand, we find that the present data also permit the more exotic interpretation in terms of the heavy \(\mathcal{CP}\)-even MSSM Higgs, which could give rise to experimental signatures of additional Higgs states in the near future.

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Notes

  1. The reader should keep in mind here (and in the following) that the point density has no statistical meaning.

  2. If the experimental and theory uncertainties were instead combined in quadrature, this would give a total Higgs mass uncertainty of \(\sigma _{\hat {M}_{H}}=2.24\ \mathrm{GeV}\). Such a change would have a negligible impact on the overall result.

  3. We note that the Belle Collaboration has recently reported a new measurement of \({\operatorname {BR}}(B_{u} \to \tau \nu_{\tau})\), which is in better agreement with the SM (and thus naturally with models with two Higgs doublets) [110]. While we do not take this new result into account in our overall fit results, we do comment briefly on its possible effects.

  4. The most recent evaluation of a μ in the SM [115], taking also τ data into account, finds an even larger deviation of more than 4σ.

  5. The effective coupling to gluons is defined via the ratio of the MSSM and SM decay widths to gluons. The relative vector boson coupling is obtained from the inclusion of higher-order corrections into the \({\mathcal {CP}} \)-even Higgs mixing angle, α.

  6. In this work a Higgs mass measurement of \(\hat {M}_{H}=125\ \mathrm{GeV}\) was assumed, whereas we now use the average mass \(\hat {M}_{H}=125.7\ \mathrm{GeV}\).

  7. The dominant contributions to Δ b beyond one-loop order are the QCD corrections, given in [148]. Those two-loop contributions are not included in our analysis, but their numerical effect is approximated by using a scale of m t for the evaluation of the one-loop expression.

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Acknowledgements

This work has been supported by the Collaborative Research Center SFB676 of the DFG, “Particles, Strings, and the Early Universe”. It has also been partially funded by the Helmholtz Alliance “Physics at the Terascale”. The work of S.H. was partially supported by CICYT (grant FPA 2010–22163-C02-01) and by the Spanish MICINN’s Consolider-Ingenio 2010 Programme under grant MultiDark CSD2009-00064. The research of O.S. is supported by the Swedish Research Council (VR) through the Oskar Klein Centre.

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Authors and Affiliations

  1. Physikalisches Institut der Universität Bonn, Nußallee 12, 53115, Bonn, Germany

    P. Bechtle & T. Stefaniak

  2. Instituto de Física de Cantabria (CSIC-UC), Santander, Spain

    S. Heinemeyer

  3. The Oskar Klein Centre, Department of Physics, Stockholm University, 106 91, Stockholm, Sweden

    O. Stål

  4. Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607, Hamburg, Germany

    G. Weiglein & L. Zeune

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  1. P. Bechtle
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  2. S. Heinemeyer
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  3. O. Stål
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  4. T. Stefaniak
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  5. G. Weiglein
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  6. L. Zeune
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Correspondence to O. Stål.

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Bechtle, P., Heinemeyer, S., Stål, O. et al. MSSM interpretations of the LHC discovery: light or heavy Higgs?. Eur. Phys. J. C 73, 2354 (2013). https://doi.org/10.1140/epjc/s10052-013-2354-5

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  • DOI: https://doi.org/10.1140/epjc/s10052-013-2354-5

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