Two-Loop QCD Corrections to the Higgs plus three-parton amplitudes with Top Mass Correction

Abstract

We obtain the two-loop QCD corrections to the Higgs plus three-parton amplitudes with dimension-seven operators in Higgs effective field theory. This provides the two-loop S-matrix elements for Higgs plus one-jet production at the LHC with top-mass correction. We apply efficient unitarity plus IBP methods which are described in detail. We also study the color decomposition of the fermion cuts and find a connection between fundamental and adjoint representations which can be used to reduce non-planar to planar unitarity cuts in the Higgs to three-gluon amplitudes. We obtain final results in simple analytic form which exhibits intriguing hidden structures. The principle of maximal transcendentality is found to be satisfied for all results. The lower transcendentality parts also contain universal building blocks and can be written in compact analytic form, suggesting further hidden structures.

arXiv comment41 pages, 11 figures

References in corpus (74)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• New Recursion Relations for Tree Amplitudes of Gluons
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• Classical Polylogarithms for Amplitudes and Wilson Loops
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• FIRE5: a C++ implementation of Feynman Integral REduction
• Kira - A Feynman Integral Reduction Program
• Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
• Multi-loop Amplitudes and Resummation
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• Z-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Calculation of the quark and gluon form factors to three loops in QCD
• Higgs boson production in association with a jet at next-to-next-to-leading order
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The planar topologies
• Reduze 2 - Distributed Feynman Integral Reduction
• On-Shell Methods in Perturbative QCD
• Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
• On the Rational Terms of the one-loop amplitudes
• Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Precise QCD predictions for the production of Higgs+jet final states
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• CEPC Conceptual Design Report: Volume 2 - Physics & Detector
• Two-loop Integrand Decomposition into Master Integrals and Surface Terms
• Integration-by-parts reductions from unitarity cuts and algebraic geometry
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The non-planar topologies
• SusHi Bento: Beyond NNLO and the heavy-top limit
• Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• NNLO QCD corrections to Higgs boson production at large transverse momentum
• Analytic two-loop form factors in N=4 SYM
• NLO QCD corrections to Higgs boson plus jet production with full top-quark mass dependence
• Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity
• Maximal Unitarity at Two Loops
• CEPC Conceptual Design Report: Volume 1 - Accelerator
• Analytic form of the full two-loop five-gluon all-plus helicity amplitude
• Two-Loop Four-Gluon Amplitudes with the Numerical Unitarity Method
• Soft-virtual corrections to Higgs production at N${}^3$LO
• Azurite: An algebraic geometry based package for finding bases of loop integrals
• Probing the nature of the Higgs-gluon coupling
• The last of the simple remainders
• Effective Field Theory for Higgs Plus Jet Production
• Higgs bosons with large transverse momentum at the LHC
• NLO Higgs+jet at large transverse momenta including top quark mass effects
• Higgs boson production in association with a jet at NNLO using jettiness subtraction
• The rational parts of one-loop QCD amplitudes I: The general formalism
• On-Shell Methods for the Two-Loop Dilatation Operator and Finite Remainders
• The SU(2|3) dynamic two-loop form factors
• Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part I: $\mathcal{N}=4$ super Yang-Mills
• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• Higgs amplitudes from $\mathcal{N}=4$ super Yang-Mills theory
• Classification and one loop renormalization of dimension six and eight operators in quantum gluodynamics
• Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle
• The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part II: $0<\mathcal{N}<4$ super Yang-Mills
• CP-even scalar boson production via gluon fusion at the LHC
• Finite remainders of the Konishi at two loops in $\mathcal{N}=4$ SYM
• The analytic structure and the transcendental weight of the BFKL ladder at NLL accuracy
• Efficient integrand reduction for particles with spin
• A minimal approach to the scattering of physical massless bosons
• Hidden Analytic Relations for Two-Loop Higgs Amplitudes in QCD
• Two loop QCD corrections for the process Pseudo-scalar Higgs $\to 3$ partons
• Two-Loop Matching onto Dimension Eight Operators in the Higgs-Glue Sector
• The Curious Case of Leading Transcendentality: Three Point Form Factors

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