2018/04/30 by Qingjun Jin, Gang Yang
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Computation #Dimensional regularization #Effective field theory #Gauge (firearms) #Gluon #Higgs boson #Large Hadron Collider #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Renormalization #Standard Model (mathematical formulation) #Unitarity #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevlett.121.101603
published as Phys. Rev. Lett. 121, 101603 (2018) · v3: published version with supplemental material added
openalex publication_date 2018/09/06 · arxiv created 2018/09/10 · arxiv updated 2018/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We obtain, for the first time, the two-loop amplitudes for Higgs plus three gluons in Higgs effective field theory including dimension-seven operators. This provides the S-matrix elements for the top mass corrections for Higgs plus a jet production at LHC. The computation is based on the on-shell unitarity method combined with integration by parts reduction. We work in conventional dimensional regularization and obtain analytic expressions renormalized in the modified minimal subtraction scheme. The two-loop anomalous dimensions present operator mixing behavior. The infrared divergences agree with that predicted by Catani and the finite remainders take remarkably simple forms, where the maximally transcendental parts are identical to the corresponding results in N=4 super-Yang-Mills theory. The parts of lower transcendentality turn out to be also largely determined by the N=4 results.