Following Caron-Huot and combining results for the thermal dependence of spectral functions at large timelike momenta, we write an explicit expression for the thermal width of the Higgs boson to Ooas thorn for T << M-H. It is an O(alpha(s) (T/M-II)(4)) MH thorn4thorn correction for H. gg and H. q (q) over bar. We also compile corresponding results for the thermal width of the Z-boson, and we recall which generic structures of the field theory, accessible via the operator product expansion, fix the TM -dependence of the decay of heavy particles.
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