Abstract
We confront the discovery of a boson decaying into two photons, as reported recently by ATLAS and CMS, with the corresponding predictions in the Minimal Supersymmetric Standard Model (MSSM) and the Next-to-Minimal Supersymmetric Standard Model (NMSSM). We perform a scan over the relevant regions of parameter space in both models and evaluate the MSSM and NMSSM predictions for the dominant Higgs production channel and the photon–photon decay channel. Taking into account the experimental constraints from previous direct searches, flavor physics, electroweak measurements as well as theoretical considerations, we find that a Higgs signal in the two photon channel with a rate equal to, or above, the SM prediction is viable over the full mass range 123≲M H ≲127 GeV, both in the MSSM and the NMSSM. We find that besides the interpretation of a possible signal at about 125 GeV in terms of the lightest \(\mathcal {CP}\)-even Higgs boson, both the MSSM and the NMSSM permit also a viable interpretation where an observed state at about 125 GeV would correspond to the second-lightest \(\mathcal {CP}\)-even Higgs boson in the spectrum, which would be accompanied by another light Higgs with suppressed couplings to W and Z bosons. We find that a significant enhancement of the γγ rate, compatible with the signal strengths observed by ATLAS and CMS, is possible in both the MSSM and the NMSSM, and we analyse in detail different mechanisms in the two models that can give rise to such an enhancement. We briefly discuss also our predictions in the two models for the production and subsequent decay into two photons of a \(\mathcal {CP}\)-odd Higgs boson.
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Notes
Quantities with a hat denote superfields; fields without hats are their corresponding scalar components.
We use a notation that closely follows the one specified in [34] for the MSSM.
Using the latest limits from the CMS update [112] in this channel would lead to only minor changes in the results of our analysis.
Strictly speaking, these results can only be directly interpreted in models with SM-like Higgs production. Even if this does not hold exactly, we have verified for the scenarios considered below that the ratio between the contributions from gluon fusion to vector boson fusion do not deviate from the SM case to the degree that vector boson fusion becomes the dominant production mode. Since we are mainly interested in investigating scenarios with an enhanced rate, we take a conservative approach and apply these bounds for maximal exclusion.
We neglect here, and in the following, the theory uncertainty of the Higgs boson mass evaluation, which for the light Higgs boson should be roughly at the level of 2–3 GeV [50].
We have checked that for the relevant regions of parameter space discussed below the gluon fusion production cross section always strongly dominates over the associated Higgs boson production from bottom quarks.
Non-negligible differences are mainly expected if the bottom loop contribution to h i →gg dominates over the top loop contribution. In the case of the light \(\mathcal {CP}\)-even Higgs boson can happen for very low M A and moderate to large tanβ values, whereas in the case of the heavy \(\mathcal {CP}\)-even Higgs boson this can happen for larger M A and tanβ≳5. Our results therefore exhibit an additional uncertainly in this part of the parameter space. Additional loop contributions from SUSY particles, while taken into account in our calculation, are usually subdominant and of lesser importance in this context.
The 2011 exclusion limit from CMS in this channel was updated in [138]. Including this limit in our analysis would not qualitatively change our results.
As before, we neglect here and in the following, the theory uncertainty of the Higgs boson mass evaluation, which for the light Higgs boson should be comparable to or slightly larger than the respective uncertainty of the MSSM, i.e. roughly at the level of 2–3 GeV [50].
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Acknowledgements
We thank C. Duhr, B. Fuks, S. Liebler and F. Staub for helpful discussions. We are also grateful to T. Stefaniak and O. Brein for discussions and assistance with HiggsBounds. The work of S.H. was partially supported by CICYT (grant FPA 2007–66387 and FPA 2010–22163-C02-01), and by the Spanish MICINN’s Consolider-Ingenio 2010 Program under grant MultiDark CSD2009-00064. Work supported in part by the European Community’s Marie-Curie Research Training Network under contract MRTN-CT-2006-035505 “Tools and Precision Calculations for Physics Discoveries at Colliders” and by the Collaborative Research Center SFB676 of the DFG, “Particles, Strings, and the Early Universe”. The work of R.B. was supported by the Spanish Consejo Superior de Investigaciones Cientificas (CSIC).
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Benbrik, R., Gomez Bock, M., Heinemeyer, S. et al. Confronting the MSSM and the NMSSM with the discovery of a signal in the two photon channel at the LHC. Eur. Phys. J. C 72, 2171 (2012). https://doi.org/10.1140/epjc/s10052-012-2171-2
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DOI: https://doi.org/10.1140/epjc/s10052-012-2171-2