English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The Higgs boson pair production via gluon fusion at high-energy hadroncolliders, such as the LHC, is vital in deciphering the Higgs potential and inpinning down the electroweak symmetry breaking mechanism. We carry out thenext-to-next-to-next-to-leading order (N$^3$LO) QCD calculations in theinfinite top-quark mass limit and present predictions for both the inclusiveand differential cross sections, albeit the differential distributions otherthan the invariant mass distribution of the Higgs boson pair are approximatedat N$^3$LO. Such corrections are indispensable in stabilising the perturbativeexpansion of the cross section in the strong coupling $\alpha_s$. At theinclusive level, the scale uncertainties are reduced by a factor of fourcompared with the next-to-next-to-leading order (NNLO) results. Given that theinclusion of the top-quark mass effects is essential for the phenomenologicalapplications, we use several schemes to incorporate the N$^3$LO results in theinfinite top-quark mass limit and the next-to-leading order (NLO) results withfull top-quark mass dependence, and present theoretical predictions for the(differential) cross sections in the proton-proton collisions at thecentre-of-mass energies $\sqrt{s}=13,14,27$ and $100$ TeV. Our results provideone of the most precise theoretical inputs for the analyses of the Higgs bosonpair events.

The gluon-fusion production of Higgs boson pair: N$^3$LO QCD corrections and top-quark mass effects