Two-loop light fermion contribution to Higgs production and decays

Abstract

We compute the electroweak corrections due to the light fermions to the production cross section $σ(g g \to H)$ and to the partial decay widths $Γ(H \to γγ)$ and $Γ(H \to g g)$. We present analytic results for these corrections that are expressed in terms of Generalized Harmonic Polylogarithms. We find that for the gluon fusion production cross section and for the decay width $Γ(H \to g g)$ the corrections are large in the Higgs mass region below 160 GeV where they reach up to 9% of the lowest order term. For the decay width $Γ(H \to γγ)$ the corrections for Higgs mass above 160 GeV can reach $-$10% of the lowest order term.

Figures (4)

• Figure 1: Two-loop topologies involving light fermions contributing to $gg \rightarrow H$.
• Figure 2: Relative corrections to the production cross section $\sigma( g g \rightarrow H)$ and to the decay width $\Gamma \left( H \rightarrow g g \right)$.
• Figure 3: Two-loop topologies involving light fermions contributing to $H \rightarrow \gamma \gamma$.
• Figure 4: Relative corrections to the decay width $H \rightarrow \gamma \gamma$.