## Contact Person(s)

David Curtin, Rouven Essig, Prerit Jaiswal, Yi-Ming Zhong More details on this mode may be found in Section 3 of*Survey of Exotic Higgs Decays*(

`arXiv:1312.4992`).

## Theoretical Motivation

Exotic Higgs decays to four b quarks can occur via a light resonance X: h→ XX → bbbb Several classes of models can lead to 4b final state :- 2HDM+S: In two-Higgs-doublet models with an additional light singlet, the decay h → ss or h → aa, where s (a) is the mostly-singlet (pseudo)scalar is generic. Depending on tanβ, the decays s → bb or a → bb are also generic in all four 2HDM Types as long as m
_{a}, m_{s}> 2m_{b}. - R-symmetry limit in the NMSSM : The additional two degrees of freedom in the NMSSM Higgs sector make a pseudo-scalar a with sizable coupling to the SM-like Higgs and SM fermions possible. Furthermore, light pseudo-scalars naturally arise in the R-symmetry limit of the NMSSM.
- Little Higgs models : Another class of models with additional potentially light pseudo-scalar is Little Higgs. The couplings of a to SM fermions are again proportional to the SM Yukawas if one imposes Minimal Flavor Violation (MFV) [1,2,3,4] in order to get rid of large flavor violation. Therefore the coupling to the b quark is typically enhanced.

## Existing Experimental Constraints

Due to large QCD backgrounds to the 4b final state, the only realistic discovery mode for h→ 4b at the LHC with √s = 7 or 8 TeV is Wh associated production. To the best of our knowledge, no such search has been performed. V (h → 2b) searches [6,7] have not yet reached SM sensitivity and are even less likely to find the softer signal from 4 b's. Searches for b (h → b b) production [8,9] do not look for an isolated lepton or large amounts of MET, which results in large backgrounds, and SUSY searches for final states containing several b-jets like [10] also typically do not require a lepton while requiring an amount of missing energy that is much too high for Vh production. The h → aa → 4b signal could, in principle, show up in the SM h → 2b searches [11] if the pseudoscalar is light enough and therefore boosted, so that its decay to two b-jets is reconstructed as a single b-jet (see Section 7.3 of`arXiv:1312.4992`for details). Recast of this SM h → b b search sets a 95 % C.L. limit of Br(h→ 4b) <~0.7 for m

_{a}= 15 GeV (assuming no contamination from the SM h → 2b decay) while the limit gets worse with increasing m

_{a}. No limit could be set for m

_{a}> 30 GeV. In the absence of any other dedicated searches, the only existing limit is the general bound on non-standard Higgs decays of Br(h→ 4b) <~0.5.

## Estimates of Sensitivity

The literature contains several collider studies examining h → 4b decay at the 14 TeV LHC. Refs. [12,13] considered the 4b final state in the context of VBF Higgs production, but this signature is very difficult to distinguish from QCD background. More recently the focus has been on the Wh production mode [14,15,16], where the tagged lepton greatly reduces backgrounds and enhances the discovery potential. Ref. [14] demonstrates how a very simple 4b search could constrain h→ a a → b b b b at LHC14 (similar conclusions are reached by [15]). They define the parameter where κ_{hVV}is the WWh coupling strength relative to the SM. Given the SM associated Higgs production cross section σ

_{Wh}, the cross section for the 4b signal is simply given as With parameter choices inspired by the NMSSM, the authors of [14] consider C

^{2}

_{4b}∈ (0.1, 0.9), with 0.5 being the benchmark, which happens to define the upper range of our regime of interest Br(h→ 4b) <~0.5. Their benchmark is chosen to be m

_{h}= 120 GeV and m

_{a}= 30 GeV. For each event, two a-candidates are constructed by grouping the four b-candidates into pairs of minimal mass difference. Masses of a and h are reconstructed by looking at the invariant mass distribution of 2 or 4 b-jets (details of the backgrounds and cuts can be found in [14]). For C

_{4b}

^{2}= 0.5, 3σ discovery is possible with 10 − 30 fb

^{−1}of LHC14 luminosity, depending on the b-tagging efficiency at low p

_{T}, which is the main challenge of this search. A more recent study [16] uses modern jet substructure methods to tackle a much harder signature, h → a a → 4g (also considered in [17,18,19,20]), by considering boosted Higgs production in association with a W or Z (with C

^{2}

_{4b}= 1 in the language of [14]) for a 120 GeV Higgs. The analysis is split into a light pseudo-scalar (m

_{a}<~30 GeV) and heavy pseudo-scalar (m

_{a}∈ (30 GeV, m

_{h}/2) regime). In the light scalar regime, a boosted Higgs decaying as h → a a → 4j can produce a 2, 3 or 4-pronged fat jet. The authors find that the h→ 4j signature can be observed at 3σ with 100 fb

^{−1}of LHC14 luminosity for m

_{a}< 30 GeV, while adding 1 (2) b-tags improves the h→ 4b discovery signal to ∼ 6 (10) σ. In the case of a heavy intermediate scalar flavor tagging is required for discovery, with 2 b-tags allowing for ∼ 6-sigma discovery with 100 fb

^{−1}. Note that all these limits were set assuming C

_{4b}

^{2}= 1 .

## Related Decay Modes

Jet-substructure techniques described above can also be applied to h → 4j exotic decay channel.## References

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