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arXiv · 1603.00385

On the two-loop virtual QCD corrections to Higgs boson pair production in the Standard Model

Giuseppe Degrassi·Pier Paolo Giardino·Ramona Gröber
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Abstract

We compute the next-to-leading order virtual QCD corrections to Higgs pair production via gluon fusion. We present analytic results for the two-loop contributions to the spin-0 and spin-2 form factors in the amplitude. The reducible contributions, given by the double-triangle diagrams, are evaluated exactly while the two-loop irreducible diagrams are evaluated by an asymptotic expansion in heavy top quark mass up to and including terms of $\mathcal{O}(1/m_t^8)$. Assuming that the finite top-quark mass effects are of similar size in the entire range of partonic energies we estimate that mass effects can reduce the hadronic cross section by at most $10\%$.

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Giuseppe Degrassi, Pier Paolo Giardino, Ramona Gröber. 2016-03-01. On the two-loop virtual QCD corrections to Higgs boson pair production in the Standard Model. https://doi.org/10.1140/epjc%2Fs10052-016-4256-9

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