Resonant multiscalar production in the generic complex singlet model in the multi-TeV region
We develop benchmarks for resonant discalar production in the generic complex singlet scalar extension of the Standard Model (SM) with no additional symmetries, which contains two new scalars. These benchmarks maximize discalar resonant production modes at future ๐โข๐ colliders: ๐โข๐ โ โ 2 โ โ 1โก โ 1 , ๐โข๐ โ โ 2 โ โ 1 โกโ 3 , and ๐โข๐ โ โ 2 โ โ 3 โกโ 3 , where โ 1 is the observed SM-like Higgs boson and โ 2,3 are new scalars. The decays โ 2 โ โ 1 โกโ 3 and โ 2 โ โ 3 โกโ 3 may be the only way to discover โ 3 , leading to a discovery of two new scalars at once. Current LHC and projected future collider (HL-LHC, FCC-ee+HL-LHC, ILโขCโข500+HL-LHC) constraints on this model are used to produce benchmarks at the HL-LHC for โ 2 masses between 250 GeV and 1 TeV and a future ๐โข๐ collider (FCC-hh) for โ 2 masses between 250 GeV and 12 TeV. We update the current LHC bounds on the singlet-Higgs boson mixing angle for these benchmarks. As the mass of โ 2 approaches the multi-TeV region, certain limiting behaviors of the maximum rates are uncovered due to theoretical constraints on the parameters. These limits, which can be derived analytically, are BRโก(โ 2 โ โ 1โก โ 1 ) โ 0.25, BRโก(โ 2 โ โ 3 โกโ 3 ) โ 0.5, and BRโก(โ 2 โ โ 1โก โ 3 ) โ 0. It can also be shown that the maximum rates of ๐โข๐ โ โ 2 โ โ 1 โกโ 1 and ๐โข๐ โ โ 2 โ โ 3โก โ 3 approach the same value. Hence, all three โ 2 โ โ ๐ โกโ ๐ decays are promising discovery modes for โ 2 masses at and below ๐ชโก(1 TeV), while above ๐ชโก(1 TeV) the decays โ 2 โ โ 1 โกโ 1 and โ 2 โ โ 3 โกโ 3 are more encouraging. We choose benchmark masses for โ 3 to produce a large range of decay signatures including multi-๐, multivector boson, and multi-SM-like Higgs production. As we will show, the behavior of the maximum rates leads to the surprising conclusion that in the multi-TeV region this model may be discovered in the Higgs quartet production mode via โ 2 โ โ 3 โกโ 3 โ 4โขโ 1 decays before Higgs triple production is observed. The maximum di- and four Higgs production rates are similar in the multi-TeV range.