Thermal width of the Higgs boson in hot QCD matter

Abstract

Following Caron-Huot and combining results for the thermal dependence of spectral functions at large time-like momenta, we write an explicit expression for the thermal width of the Higgs boson to $\mathcal{O}({\alpha }_{\mathrm{s}})$ for $T\ll M_H$. It is an $\mathcal{O}({\alpha }_{\mathrm{s}}(T/M_H{)}^4)$ correction for $H\to gg$ and $H\to q\bar{q}$. 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 $T/M$-dependence of the decay of heavy particles.

5 pages plus appendices. v2: minor modifications, version accepted for publication in PRD

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• Interpolation of hard and soft dilepton rates
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Cited by in corpus (6)

• micrOMEGAs 6.0: N-component dark matter
• Resonant $s$-channel dark matter annihilation at NLO
• Langevin simulation of dark matter kinetic equilibration
• Soft contributions to the thermal Higgs width across an electroweak phase transition
• QCD and High Energy Interactions: MORIOND 2019 Theory Summary
• Future heavy-ion facilities: FCC-AA