https://doi.org/10.1140/epjc/s10052-016-4256-9
Regular Article - Theoretical Physics
On the two-loop virtual QCD corrections to Higgs boson pair production in the standard model
1
Dipartimento di Matematica e Fisica, Università di Roma Tre, 00146, Rome, Italy
2
INFN, Sezione di Roma Tre, 00146, Rome, Italy
3
Physics Department, Brookhaven National Laboratory, Upton, NY, 11973, USA
* e-mail: degrassi@fis.uniroma3.it
Received:
19
May
2016
Accepted:
8
July
2016
Published online:
21
July
2016
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 . 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
.
© The Author(s), 2016