Invisible Higgs boson decay with B→Kνν̄ constraint

If the Higgs boson were the only particle within the LHC accessible range, precision measurement of the Higgs's properties would play a unique role in studying electroweak symmetry breaking as well as possible new physics. We try to use low energy experiments such as rare B decay to constrain a challenging decay mode of Higgs, in which a Higgs decays to a pair of light (1∼2GeV) SM singlet S and becomes invisible. By using the current experimental bound of rare decay B→Kνν̄ and computing the contribution of B→KSS to (the) B→K+I, we obtain an upper bound on the Higgs coupling to such light singlet. It is interesting that the partial width of the invisible decay mode h→SS by taking the upper bound value of coupling is at a comparable level with h→WW/ZZ or WW(^*) decay modes, making the Higgs identifiable but with a different predicted decay branching ratio from [the] standard model Higgs decay. It will then have an impact on precision measurement of the Higgs's properties. We also study the implication for cosmology from such a light singlet and propose a solution to the potential problem.