Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints
arXiv:2511.11537 · doi:10.1007/JHEP03(2026)011
Abstract
We present the two-loop amplitudes for a self-dual Higgs boson with up to four positive helicity gluons in the heavy top-quark limit. Because the tree amplitudes in the all-plus sector vanish, we can construct simple representations of the polylogarithmic parts of the two-loop amplitudes using four-dimensional unitarity cuts into rational one-loop and tree amplitudes. The remaining rational function ambiguity is extracted from a tensor integral reduction over finite fields. The final expressions are presented using polylogarithms up to weight two and compact rational functions of spinor-helicity products.
31 pages, 7 figures, 1 table, ancillaries at https://zenodo.org/records/17592605 -- v2: publish v2
References in corpus (73)
- One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
- Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
- Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
- The Singular Behaviour of QCD Amplitudes at Two-loop Order
- The renormalization of the axial anomaly in dimensional regularization
- One-Loop Amplitudes for e^+ e^- to Four Partons
- Scalar one-loop integrals for QCD
- FIRE6: Feynman Integral REduction with Modular Arithmetic
- One-Loop Corrections to Five-Gluon Amplitudes
- Integral Reduction with Kira 2.0 and Finite Field Methods
- A novel approach to integration by parts reduction
- On-Shell Methods in Perturbative QCD
- Scattering amplitudes over finite fields and multivariate functional reconstruction
- FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
- The Infrared Behavior of One-Loop QCD Amplitudes at Next-to-Next-to-Leading Order
- MHV Rules for Higgs Plus Multi-Gluon Amplitudes
- One-Loop Corrections to Two-Quark Three-Gluon Amplitudes
- Towards a Basis for Planar Two-Loop Integrals
- On-Shell Recurrence Relations for One-Loop QCD Amplitudes
- Two-loop Integrand Decomposition into Master Integrals and Surface Terms
- Integration-by-parts reductions from unitarity cuts and algebraic geometry
- Reconstructing Rational Functions with
- Bootstrapping Multi-Parton Loop Amplitudes in QCD
- Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD
- Pentagon functions for massless planar scattering amplitudes
- The two-loop five-point amplitude in super-Yang-Mills theory
- All master integrals for three-jet production at NNLO
- The Last of the Finite Loop Amplitudes in QCD
- Interpolation of Dense and Sparse Rational Functions and other Improvements in
- Pentagon Functions for Scattering of Five Massless Particles
- Analytic form of the full two-loop five-gluon all-plus helicity amplitude
- A first next-to-next-to-leading order study of three-jet production at the LHC
- Triphoton production at hadron colliders in NNLO QCD
- NNLO QCD corrections to three-photon production at the LHC
- Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
- Two-Loop Integrals for Planar Five-Point One-Mass Processes
- Pentagon Functions for One-Mass Planar Scattering Amplitudes
- spinney: A Form Library for Helicity Spinors
- Analytic result for the nonplanar hexa-box integrals
- One-loop phi-MHV amplitudes using the unitarity bootstrap
- Two-loop QCD corrections to production at hadron colliders
- Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals
- Analytic one-loop amplitudes for a Higgs boson plus four partons
- One-loop Higgs plus four gluon amplitudes: Full analytic results
- Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD
- Differential equations from unitarity cuts: nonplanar hexa-box integrals
- Two-loop helicity amplitudes for diphoton plus jet production in full color
- Higgs boson production in association with a top-antitop quark pair in next-to-next-to leading order QCD
- Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes
- Two-loop five-point all plus helicity Yang-Mills amplitude
- Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes
- Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
- Isolated photon production in association with a jet pair through next-to-next-to-leading order in QCD
- Precise predictions for the associated production of a boson with a top-antitop quark pair at the LHC
- Analytic results for the one-loop NMHV Hqqgg amplitude
- Two-loop six gluon all plus helicity amplitude
- One-loop helicity amplitudes for H -> gluons: the all-minus configuration
- Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
- NNLO QCD corrections to event shapes at the LHC
- Next-to-leading order QCD corrections to diphoton-plus-jet production through gluon fusion at the LHC
- Associated production of a boson and massive bottom quarks at next-to-next-to-leading order in QCD
- Scattering Amplitudes in Quantum Field Theory
- Two-Loop QCD Corrections for Three-Photon Production at Hadron Colliders
- Two-Loop Master Integrals for Leading-Color Amplitudes with a Light-Quark Loop
- Automating QCD amplitudes with on-shell methods
- Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
- Color Dressed Unitarity and Recursion for Yang-Mills Two-Loop All-Plus Amplitudes
- The Full Color Two-Loop Six-Gluon All-Plus Helicity Amplitude
- Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
- Numerical evaluation of two-loop QCD helicity amplitudes for at leading colour
- An -point QCD two-loop amplitude
- Syzygies Probing Scattering Amplitudes
- Differential equations for loop integrals without squared propagators