MHV Rules for Higgs Plus Multi-Parton Amplitudes

Abstract

We present MHV-rules for constructing perturbative amplitudes for a Higgs boson and an arbitrary number of partons. We give explicit expressions for amplitudes involving a Higgs and three negative helicity partons and any number of positive helicity partons - the NMHV amplitudes. We also present a recursive formulation of MHV rules that incorporates the Higgs, quarks and gluons. The recursion relations are valid for all non-MHV amplitudes. The general results agree numerically with all of the available Higgs + n-parton amplitudes and in some cases provide considerably shorter expressions.

35 pages, JHEP3 class, 11 figures

References in corpus (12)

• Multi-Parton Amplitudes in Gauge Theories
• Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly
• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• Non-Supersymmetric Loop Amplitudes and MHV Vertices
• MHV Vertices and Fermionic Scattering Amplitudes in Gauge Theory with Quarks and Gluinos
• Next-to-Maximal Helicity Violating Amplitudes in Gauge Theory
• Twistor-Space Recursive Formulation of Gauge-Theory Amplitudes
• Computing One-Loop Amplitudes From The Holomorphic Anomaly Of Unitarity Cuts
• One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
• Twistor-Inspired Construction of Electroweak Vector Boson Currents
• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
• Gauge Theory Amplitudes, Scalar Graphs and Twistor Space

Cited by in corpus (67)

• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Hard Interactions of Quarks and Gluons: a Primer for LHC Physics
• Precise QCD predictions for the production of Higgs+jet final states
• A direct proof of the CSW rules
• Recursion Relations for Gauge Theory Amplitudes with Massive Particles
• On-Shell Recurrence Relations for One-Loop QCD Amplitudes
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Next-to-Leading order Higgs + 2 jet production via gluon fusion
• Bootstrapping Multi-Parton Loop Amplitudes in QCD
• NNLO QCD corrections to Higgs boson production at large transverse momentum
• Fiducial distributions in Higgs and Drell-Yan production at N${}^3$LL+NNLO
• Constraining Dark Sectors at Colliders: Beyond the Effective Theory Approach
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• The Last of the Finite Loop Amplitudes in QCD
• Recursion Relations for Gauge Theory Amplitudes with Massive Vector Bosons and Fermions
• Two-Loop Amplitudes of Gluons and Octa-Cuts in N=4 Super Yang-Mills
• Recursive Calculation of One-Loop QCD Integral Coefficients
• On-shell constructibility of tree amplitudes in general field theories
• MHV-Vertices for Gravity Amplitudes
• Precise QCD Description of the Higgs Boson Transverse Momentum Spectrum
• Hadronic production of a Higgs boson and two jets at next-to-leading order
• One-loop phi-MHV amplitudes using the unitarity bootstrap
• Multi-Gluon Collinear Limits from MHV diagrams
• One-loop Higgs plus four gluon amplitudes: Full analytic results
• Analytic one-loop amplitudes for a Higgs boson plus four partons
• NLO QCD corrections to the production of Higgs plus two jets at the LHC
• Massive amplitudes on the Coulomb branch of N=4 SYM
• Amplitudes in the beta-deformed Conformal Yang-Mills
• Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes
• Scalar diagrammatic rules for Born amplitudes in QCD
• On-shell recursion relations for all Born QCD amplitudes
• SUSY Ward identities for multi-gluon helicity amplitudes with massive quarks
• Virtual QCD corrections to Higgs boson plus four parton processes
• One-loop helicity amplitudes for H -> gluons: the all-minus configuration
• The rational parts of one-loop QCD amplitudes I: The general formalism
• Multigluonic scattering amplitudes of heavy quarks
• Structure of the MHV-rules Lagrangian
• MHV Techniques for QED Processes
• The SU(2|3) dynamic two-loop form factors
• Higgs Boson Production in Association with Multiple Hard Jets
• Collinear Limits in QCD from MHV Rules
• Supersymmetric Ward Identities and NMHV Amplitudes involving Gluinos
• Connected formulas for amplitudes in standard model
• Jet cross sections at the LHC and the quest for higher precision
• CSW rules for a massive scalar
• One-Loop Gluonic Amplitudes from Single Unitarity Cuts
• QCD and Electroweak Interference in Higgs production by Gauge Boson Fusion
• Phenomenological analysis of Higgs boson production through gluon fusion in association with jets
• Lund and Cambridge multiplicities for precision physics
• One-Loop NMHV Amplitudes involving Gluinos and Scalars in N=4 Gauge Theory
• Celestial Supersymmetry
• Fiducial cross sections for the four-lepton decay mode in Higgs-plus-jet production up to NNLO QCD
• Two loop QCD corrections for the process Pseudo-scalar Higgs $\to 3$ partons
• Massive Quark-Gluon Scattering Amplitudes at Tree Level
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• Twistor-inspired construction of massive quark amplitudes
• Complete Form Factors in Yang-Mills from Unitarity and Spinor Helicity in Six Dimensions
• Recursion relations, Helicity Amplitudes and Dimensional Regularization
• The MHV Lagrangian for a spontaneously broken gauge theory
• Recursive equations for arbitrary scattering processes
• Hard QCD at hadron colliders
• Multigluon tree amplitudes with a pair of massive fermions
• Standard and SUSY Higgs production at the LHC
• $h\to gg$ and $h\to \gamma \gamma$ with Anomalous Couplings at Next-to-Leading Order in QCD
• EERAD3 version 2: QCD corrections in hadronic colour-singlet decays
• Holonomies of gauge fields in twistor space 5: amplitudes of gluons and massive scalars
• Cachazo-Svrcek-Witten Rules for Tree-Level Gluonic Amplitudes Revisited