<p>Higgs-boson pair production is of fundamental importance for probing the Higgs potential. At hadron colliders, the dominant production channel proceeds via gluon-gluon fusion (ggF) mediated by a top-quark loop. We report the first fully differential predictions for Higgs-boson pair production through ggF at next-to-next-to-next-to-leading order (N<sup>3</sup>LO) in the strong coupling <i>α</i><sub><i>s</i></sub> in the heavy-top-quark limit (HTL). Fiducial cross section and selected differential distributions are presented at a center-of-mass energy of <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msqrt> <mi>s</mi> </msqrt> <mo>=</mo> <mn>14</mn> </math></EquationSource> <EquationSource Format="TEX">\( \sqrt{s}=14 \)</EquationSource> </InlineEquation> TeV, under realistic experimental selection cuts. The N<sup>3</sup>LO QCD corrections reduce the scale uncertainties of the next-to-next-to-leading order fiducial and differential predictions by approximately a factor of three, bringing the theoretical uncertainty to the percent level in the HTL. After incorporating top-quark-mass effects at next-to-leading order in <i>α</i><sub><i>s</i></sub>, we provide one of the most precise parton-level differential predictions to date for ongoing experimental searches for Higgs-boson pair production at the LHC.</p>

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Fully differential Higgs boson pair production at N3LO with top quark mass effects

  • Xuan Chen,
  • Yuesheng Dai,
  • Hai Tao Li,
  • Shi-Yuan Li,
  • Hua-Sheng Shao,
  • Jian Wang

摘要

Higgs-boson pair production is of fundamental importance for probing the Higgs potential. At hadron colliders, the dominant production channel proceeds via gluon-gluon fusion (ggF) mediated by a top-quark loop. We report the first fully differential predictions for Higgs-boson pair production through ggF at next-to-next-to-next-to-leading order (N3LO) in the strong coupling αs in the heavy-top-quark limit (HTL). Fiducial cross section and selected differential distributions are presented at a center-of-mass energy of s = 14 \( \sqrt{s}=14 \) TeV, under realistic experimental selection cuts. The N3LO QCD corrections reduce the scale uncertainties of the next-to-next-to-leading order fiducial and differential predictions by approximately a factor of three, bringing the theoretical uncertainty to the percent level in the HTL. After incorporating top-quark-mass effects at next-to-leading order in αs, we provide one of the most precise parton-level differential predictions to date for ongoing experimental searches for Higgs-boson pair production at the LHC.