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

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arxiv 1603.00385 v1 pith:POYPTAA2 submitted 2016-03-01 hep-ph

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

classification hep-ph
keywords masstwo-loopcontributionscorrectionsdiagramseffectsevaluatedhiggs
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects

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    First fully differential N3LO QCD predictions for gg->hh in the heavy-top limit, with NLO top-mass effects added; heavy-top scale uncertainty shrinks about 3x, to roughly 1-3%.