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We study the exotic decay of the 125 GeV Higgs boson ($h$) into a pair oflight spin-0 particles ($\phi$) which subsequently decays and results in a $4b$final state. This decay mode is well motivated in the Next to MinimalSupersymmetric Standard Model (NMSSM) and extended Higgs sector models. Insteadof searching at the Large Hadron Collider (LHC) and the High Luminosity LargeHadron Collider (HL-LHC) which are beset by large Standard Model (SM)backgrounds, we investigate this decay channel at the much cleaner Large HadronElectron Collider (LHeC). With some simple selection cuts this channel becomesnearly free of background at this $ep$ machine, in stark contrast with thesituation at the (HL-)LHC. With a parton level analysis we show that for the$\phi$ mass range $[20,60]GeV$, with $100\,fb^{-1}$ luminosity the LHeC isgenerally capable of constraining$C_{4b}^2\equiv\kappa_{V}^2\times\text{Br}(h\rightarrow\phi\phi)\times\text{Br}^2(\phi\rightarrowb\bar{b})$ ($\kappa_{V}$ denotes the $hVV(V=W,Z)$ coupling strength relative tothe SM value) to a few percent level ($95\%$ CLs). With $1\,ab^{-1}$ luminosity$C_{4b}^2$ at a few per mille level can be probed. These sensitivities are muchbetter than the HL-LHC performance and demonstrate the important role expectedto be played by the LHeC in probing exotic Higgs decay processes, in additionto the already proposed invisible Higgs decay channel.

Exotic Higgs Decay $h\rightarrow\phi\phi\rightarrow 4b$ at the LHeC