Higgs boson contribution to the leading two-loop Yukawa corrections to $gg\to HH$

Abstract

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.

39 pages

References in corpus (17)

• FIRE5: a C++ implementation of Feynman Integral REduction
• Integral Reduction with Kira 2.0 and Finite Field Methods
• Full top quark mass dependence in Higgs boson pair production at NLO
• Virtual corrections to Higgs boson pair production in the large top quark mass limit
• Geometric approach to asymptotic expansion of Feynman integrals
• Interpolation of Dense and Sparse Rational Functions and other Improvements in $\text{FireFly}$
• FIESTA5: numerical high-performance Feynman integral evaluation
• Iterated Binomial Sums and their Associated Iterated Integrals
• Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams
• FORM version 4.2
• Effective Multi-Higgs Couplings to Gluons
• Two-loop helicity amplitudes for $gg\to ZZ$ with full top-quark mass effects
• Real-virtual corrections to Higgs boson pair production at NNLO: three closed top quark loops
• ZH production in gluon fusion at NLO in QCD
• Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit
• Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm
• $gg\to ZZ$: analytic two-loop results for the low- and high-energy regions

Cited by in corpus (15)

• Next-to-leading order electroweak corrections to $gg\to HH$ and $gg\to gH$ in the large-$m_t$ limit
• N${}^3$LO+N${}^3$LL QCD improved Higgs pair cross sections
• Analytic approximations of $2\to 2$ processes with massive internal particles
• Electroweak corrections to double Higgs production at the LHC
• Chasing the two-Higgs doublet model in the di-Higgs production
• Electroweak corrections to Higgs boson pair production: The top-Yukawa and self-coupling contributions
• Combining chromomagnetic and four-fermion operators with leading SMEFT operators for $gg\to hh$ at NLO QCD
• Identifying regions in wide-angle scattering via graph-theoretical approaches
• Massive two-loop four-point Feynman integrals at high energies with AsyInt
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Higgs boson pair production and decay at NLO in QCD: the $b\bar{b}\gamma \gamma$ final state
• QCD corrections to Higgs boson pair production and decay to the $b\bar{b}{\tau }^{+}{\tau }^{-}$ final state
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects
• Higgs-Pair Production via Gluon Fusion: Top-Yukawa- and light-quark-induced electroweak Corrections
• Constraining the Higgs potential using multi-Higgs production