Towards a new approximation for pair-production and associated-production of the Higgs boson

Abstract

We propose that loop integrals with internal heavy particles can be evaluated by expanding in the limit of small external masses. This provides a systematically improvable approximation to the integrals in the entire phase space, and works particularly well for the high energy tails of kinematic distributions (where the usual $1/M$ expansions cease to be valid). We demonstrate our method using Higgs boson pair production as an example. We find that at both one-loop and two-loop, our method provides good approximations to the integrals appearing in the scattering amplitudes. Comparing to existing expansion methods, our method are not restricted to a special phase space region. Combining our efficient method to compute the two-loop amplitude with an infrared subtraction method for the real emission corrections, we expect to have a fast and reliable tool to calculate the differential cross sections for Higgs boson pair production. This will be useful for phenomenological studies and for the extraction of the Higgs self-coupling from future experimental data. Our method can also be applied to other processes, such as the associated production of the Higgs boson with a jet or a $Z$ boson.

v2: minor revisions

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Cited by in corpus (29)

• Collider Physics at the Precision Frontier
• Higgs boson potential at colliders: status and perspectives
• Probing the trilinear Higgs boson coupling in di-Higgs production at NLO QCD including parton shower effects
• The gluon-fusion production of Higgs boson pair: N${}^3$LO QCD corrections and top-quark mass effects
• Determine Arbitrary Feynman Integrals by Vacuum Integrals
• Baikov representations, intersection theory, and canonical Feynman integrals
• Constructing Canonical Feynman Integrals with Intersection Theory
• Higgs boson contribution to the leading two-loop Yukawa corrections to $gg\to HH$
• Exploring anomalous couplings in Higgs boson pair production through shape analysis
• N${}^3$LO+N${}^3$LL QCD improved Higgs pair cross sections
• High-Energy Expansion of Two-Loop Massive Four-Point Diagrams
• Next-to-leading order corrections for $gg\to ZH$ with top quark mass dependence
• Analytic approximations of $2\to 2$ processes with massive internal particles
• Efficient computation of two-loop amplitudes for Higgs boson pair production
• Evaluating multi-loop Feynman integrals numerically through differential equations
• Top quark mass effects in $gg\to ZZ$ at two loops and off-shell Higgs interference
• Light-by-Light Scattering at Next-to-Leading Order in QCD and QED
• Chasing the two-Higgs doublet model in the di-Higgs production
• Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit
• Two-loop massive QCD and QED helicity amplitudes for light-by-light scattering
• One-loop squared amplitudes for hadronic $tW$ production at next-to-next-to-leading order in QCD
• Probing the Higgs trilinear self-coupling through Higgs+jet production
• Two-loop $N$-jettiness soft function for $pp\to 2j$ production
• Two-loop triangle integrals with 4 scales for the $HZV$ vertex
• Gluon Fusion Production at NLO: Merging the Transverse Momentum and the High-Energy Expansions
• Evaluating master integrals in non-factorizable corrections to $t$-channel single-top production at NNLO QCD
• Shape analysis in Higgs boson pair production
• NNLO soft function for threshold single inclusive jet production
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects