Abstract
We re-examine the theoretical estimates of the decay K → πH and the experimental constraints on the existence of a light Higgs boson from this process. We find that: (i) pole diagrams generated from the Higgs-gluon coupling via a loop of heavy quarks do contribute to K → πH, (ii) there is an additional contribution to the K → πH amplitude coming from the effective KHW and πHW couplings, (iii) even if B, the unknown parameter in the chiral-Lagrangian description of K → πH transitions, is nonzero and even if the real part of the K → πH amplitude is canceled accidentally, the imaginary contribution alone suffices to rule out a Higgs boson lighter than 2m π, and (iv) whether Higgs bosons in the mass range 2m π < m H < 350 MeV are excluded by the imaginary part of the K → πH amplitude depends on the branching ratio of H → µ + µ -,a+p,— and the top-quark mass. Decay modes K L → π+π- H and K + → l+ vH are briefly discussed.
Talk based on works with H.Y. Cheng.
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Yu, HL. (1990). Ruling Out the Light Higgs Boson by Kaon Decay. In: Ali, A. (eds) Higgs Particle(s). Ettore Majorana International Science Series, vol 50. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0908-7_10
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