Top quark mass effects in $gg\to ZZ$ at two loops and off-shell Higgs interference

Abstract

We consider top-quark mass effects in the Higgs-interference contribution to $Z$-boson pair production in gluon fusion. While this production mechanism is formally of next-to-next-to leading order, its contribution is numerically important above the top threshold $M_{ZZ}^2=4m_t^2$. This region is essential to constrain the width of the Higgs boson and good control over the top-quark mass dependence is crucial. We determine the form factors that are relevant for the interference contribution at two-loop order using a method based on a conformal mapping and Padé approximants constructed from the expansions of the amplitude for large top mass and around the top threshold.

arXiv comment14 pages, 5 figures

References in corpus (41)

• HIGGS BOSON PRODUCTION AT THE LHC
• Asymptotic expansion of Feynman integrals near threshold
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• FIRE5: a C++ implementation of Feynman Integral REduction
• Higgs production and decay: Analytic results at next-to-leading order QCD
• Inadequacy of zero-width approximation for a light Higgs boson signal
• Higgs boson pair production in gluon fusion at NLO with full top-quark mass dependence
• Constraining the Higgs boson width with ZZ production at the LHC
• Full top quark mass dependence in Higgs boson pair production at NLO
• Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop
• Analytic Results for Virtual QCD Corrections to Higgs Production and Decay
• Bounding the Higgs width at the LHC using full analytic results for gg -> 2e 2μ
• QCD corrections to ZZ production in gluon fusion at the LHC
• Gluon fusion into Higgs pairs at NLO QCD and the top mass scheme
• Measurements of the Higgs boson width and anomalous HVV couplings from on-shell and off-shell production in the four-lepton final state
• Mass Effects in the Higgs-Gluon Coupling: Boosted vs Off-Shell Production
• Foundation and generalization of the expansion by regions
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Calculation of Feynman Diagrams from their Small Momentum Expansion
• NLO predictions for Higgs boson pair production with full top quark mass dependence matched to parton showers
• Limitations and Opportunities of Off-Shell Coupling Measurements
• An Analytical Method for the NLO QCD Corrections to Double-Higgs Production
• Double Higgs boson production at NLO in the high-energy limit: complete analytic results
• Taming the off-shell Higgs boson
• Production of two Z-bosons in gluon fusion in the heavy top quark approximation
• Constraints on off-shell Higgs boson production and the Higgs boson total width in $ZZ\to 4\ell$ and $ZZ\to 2\ell 2\nu$ final states with the ATLAS detector
• Bounding the Higgs width at the LHC: complementary results from $H\to WW$
• QCD corrections to vector boson pair production in gluon fusion including interference effects with off-shell Higgs at the LHC
• Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes
• $ZZ$ production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel
• Beyond Geolocating: Constraining Higher Dimensional Operators in $H\to 4\ell$ with Off-Shell Production and More
• Next-to-leading order predictions for WW + 1 jet distributions at the LHC
• Double Higgs boson production at NLO: combining the exact numerical result and high-energy expansion
• Two loop correction to interference in $gg\to ZZ$
• Double-Higgs boson production in the high-energy limit: planar master integrals
• Towards a new approximation for pair-production and associated-production of the Higgs boson
• Pade Theory applied to the vacuum polarization of a heavy quark
• P-wave contribution to third-order top-quark pair production near threshold
• Resolving gluon fusion loops at current and future hadron colliders
• Interference effects for Higgs-mediated Z-pair plus jet production
• The light-fermion contribution to the exact Higgs-gluon form factor in QCD

Cited by in corpus (9)

• Two-loop helicity amplitudes for $gg\to ZZ$ with full top-quark mass effects
• Four lepton production in gluon fusion: off-shell Higgs effects in NLO QCD
• HHH Whitepaper
• Top quark contribution to two-loop helicity amplitudes for $Z$ boson pair production in gluon fusion
• Four-lepton production in gluon fusion at NLO matched to parton showers
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Expansion by regions with pySecDec
• On the two-loop amplitude for $gg\to ZZ$ production with full top-mass dependence
• Theoretical modeling of QCD radiation in off-shell Higgs production through gluon fusion