Abstract
In this paper we discuss the production of a heavy scalar MSSM Higgs boson H and its subsequent decays into pairs of electroweak gauge bosons WW and ZZ. We perform a scan over the relevant MSSM parameters, using constraints from direct Higgs searches and several low-energy observables. We then compare the possible size of the pp→H→WW,ZZ cross sections with corresponding Standard Model cross sections. We also include the full MSSM vertex corrections to the H→WW,ZZ decay and combine them with the Higgs propagator corrections, paying special attention to the IR-divergent contributions. We find that the vertex corrections can be as large as −30 % in MSSM parameter space regions which are currently probed by Higgs searches at the LHC. Once the sensitivity of these searches reaches two percent of the SM signal strength the vertex corrections can be numerically as important as the leading order and Higgs self-energy corrections and have to be considered when setting limits on MSSM parameters.
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Notes
In the case of \(\mathcal {CP}\)-violation, it is usual to take \(M_{H^{\pm}}\) as input parameter instead of M A because, in the \(\mathcal {CP}\)-violating case the pseudoscalar Higgs boson A mixes with the \(\mathcal {CP}\)-even neutral Higgs bosons.
For the H→VV decays considered in this paper, \(\mathcal{A}_{A}^{\text{tree}}\) is of course zero.
Note that the α used here is the tree-level value, rather than the so-called ‘effective’ α often used to account for Higgs mixing.
Throughout, a capital Δ implies an absolute correction and small δ a relative correction.
Note that this only involves the \(\mathcal {CP}\)-eigenstate Higgs boson H, as we are treating this particular diagram strictly at one-loop level, with no Z-factors applied.
Plots varied over different parameters, and around a different point in the MSSM parameter space, show very similar features.
Of course the mass of the SM Higgs boson \(M_{H_{\text{SM}}}\) must be set equal to the heavy MSSM Higgs boson mass M H .
The trilinear couplings A b and A τ are set to A t , and the trilinear couplings for the first and second fermion generations are set to zero.
Details about this approximation can be found in [14].
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Acknowledgements
We are very grateful to Georg Weiglein for helpful discussions, and for a thorough reading of an early draft of this paper. P.G. is supported by DFG SFB/TR9.
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González, P., Palmer, S., Wiebusch, M. et al. Heavy MSSM Higgs production at the LHC and decays to WW , ZZ at higher orders. Eur. Phys. J. C 73, 2367 (2013). https://doi.org/10.1140/epjc/s10052-013-2367-0
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DOI: https://doi.org/10.1140/epjc/s10052-013-2367-0