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Higgs boson contribution to the leading two-loop Yukawa corrections to ggto HH
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Higgs boson contribution to the leading two-loop Yukawa corrections to $gg\to HH$
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We analytically compute two-loop Yukawa corrections to Higgs boson pair production in the high-energy limit. Such corrections are generated by an exchange of a Higgs boson between the virtual top quark lines. We propose two approaches to obtain expansions of the massive two-loop box integrals and show that precise results are obtained for transverse momenta of the Higgs bosons above about 150 GeV. We discuss in detail the computation of all 140 master integrals and present analytic results.
Forward citations
Cited by 4 Pith papers
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Electroweak corrections to Higgs boson pair production: The quark channel
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Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects
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%.
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Feynman Integrals Meet Second-Order Partial Differential Equations
Feynman integrals can be solved globally over phase space by rewriting them as second-order PDE equilibrium problems and discretizing with finite elements.
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Analytic two-loop electroweak corrections at high energies
Analytic two-loop electroweak corrections to four-point amplitudes are computed in the high-energy limit of the Standard Model, applied to Higgs pair production where logarithmic and power corrections yield sizeable effects.
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