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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 instudying electroweak symmetry breaking as well as possible new physics. We tryto use low energy experiments such as rare B decay to constrain a challengingdecay mode of Higgs, in which a Higgs decays to a pair of light (\approx 1 \sim2 GeV) SM singlet S and becomes invisible. By using the current experimentalbound of rare decay B\to K\nu\bar{\nu} and computing the contribution of B\to KSS to (the) B\to K+\cancel{E}, we obtain an upper bound on the Higgs couplingto such light singlet. It is interesting that the partial width of theinvisible decay mode h\to SS by taking the upper bound value of coupling is ata comparable level with h\to WW/ZZ or WW^(*) decay modes, making the Higgsidentifiable but with a different predicted decay BR from the standard modelHiggs decay. It will then have an impact on precision measurement of theHiggs's properties. We also study the implication for cosmology from such alight singlet and propose a solution to the potential problem.

Invisible Higgs decay with B\to K\nu\bar{\nu} constraint