Master integrals for the two-loop light fermion contributions to $gg \to H$ and $H \to γγ$

Abstract

We give the analytic expressions of the eight master integrals entering our previous computation of two-loop light fermion contributions to $gg \to H$ and $H \to γγ$. The results are expressed in terms of generalized harmonic polylogarithms with maximum weight four included.

Figures (6)

• Figure 1: Feynman diagrams for electro-weak light fermion contributions to $gg \rightarrow H$. The straight lines represent light fermions, while the wavy lines stand for the $W$ or $Z$ bosons. The curly lines denote the initial gluons, the dashed line the final Higgs boson.
• Figure 2: Feynman diagrams for electro-weak light fermion contributions to the decay $H \rightarrow \gamma \gamma$.
• Figure 3: The set of three independent topologies with six denominators, related to the Feynman diagrams shown in Figs. \ref{['fig1']} and \ref{['fig2']}.
• Figure 4: The set of six independent five-denominator topologies.
• Figure 5: The set of three independent four-denominator topologies.