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The Diphoton Decay Channel in the MSSM and the NMSSM

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Constraining Supersymmetric Models

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

At the time when the Higgs boson discovery was announced, the two photon decay rate was significantly above the SM expectation. In this chapter we confront the MSSM and the NMSSM with the discovery of a Higgs boson decaying into two photons. In particular we discuss the possibilities in both SUSY models to accommodate a Higgs at 126 GeV with a two-photon rate enhanced with respect to the SM-taking into account constraints from direct Higgs searches, flavour physics, electroweak measurements as well as theoretical considerations. We discuss in detail how an enhanced two photon rate can be realised in the MSSM, and which additional mechanisms for an enhancement occur in the NMSSM.

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Notes

  1. 1.

    This ratio corresponds to the Higgs signal strength which is denoted \(\mu \) in other chapters of this thesis.

  2. 2.

    Non-negligible differences are mainly expected if the bottom loop contribution to \(h_i\rightarrow gg\) dominates over the top loop contribution. In the case of the light \(\mathcal{CP}\)-even Higgs boson this can happen for very low \(M_A\) and moderate to large \(\tan \beta \) values, whereas in the case of the heavy \(\mathcal{CP}\)-even Higgs boson this can happen for larger \(M_A\) and \(\tan \beta \gtrsim 5\). 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.

  3. 3.

    See Sect. 5.4.2 for a brief discussion on the calculation of sparticle masses in NMSSMTools.

  4. 4.

    Updated numbers for the flavour physics observables, as given e.g. in [23] (including in particular LHC measurements) were not available at the time when this analysis was performed. The same is true for the measurement of \(\mathrm{BR}(B_s \rightarrow \mu ^- \mu ^+)\) [24, 25], which is therefore not included here.

  5. 5.

    This feature would be avoided with an on-shell renormalisation of \(M_{H^\pm }\), see e.g. [12, 32]. There are different possibilities how to relate MSSM with NMSSM parameter points. The method chosen here differs from the one used in Sect. 5.8 which implied that the value for the charged Higgs (pole) mass is identical in the MSSM and the NMSSM.

  6. 6.

    We neglect here, and in the following plots in this chapter, 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 [34].

  7. 7.

    In this chapter we presented results for \(WW^{(*)}\) only in the NMSSM. In the next chapter we will show results for \(WW^{(*)}\) also in the MSSM.

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  1. University of Amsterdam, Amsterdam, The Netherlands

    Lisa Zeune

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  1. Lisa Zeune
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Zeune, L. (2016). The Diphoton Decay Channel in the MSSM and the NMSSM. In: Constraining Supersymmetric Models . Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-22228-8_6

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