Two-loop QCD corrections to the helicity amplitudes for H → 3 partons

2011/12/15 by T. Gehrmann, M. Jaquier, E. W. N. Glover +2 · 13 citations
Physics and Astronomy · #Amplitude #Boson #Factorization #Feynman diagram #Hadron #Helicity #Higgs boson #High-Energy Particle Collisions Research #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Parton #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #hep-ph

paper · pdf · doi:10.1007/jhep02(2012)056

42 pages, computer algebra files with the one-loop and two-loop coefficients attached with the submission

arxiv created 2011/12/15 · openalex publication_date 2012/02/01 · arxiv updated 2015/06/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Many search strategies for the Standard Model Higgs boson apply specific selection criteria on hadronic jets observed in association with the Higgs boson decay products, either in the form of a jet veto, or by defining event samples according to jet multiplicity. To improve the theoretical description of Higgs-boson-plus-jet production (and the closely related Higgs boson transverse momentum distribution), we derive the two-loop QCD corrections to the helicity amplitudes for the processes H → ggg and H → q q g in an effective theory with infinite top quark mass. The helicity amplitudes are extracted from the coefficients appearing in the general tensorial structure for each process. The coefficients are derived from the Feynman graph amplitudes by means of projectors within the conventional dimensional regularization scheme. The infrared pole structure of our result agrees with the expectation from infrared factorization and the finite parts of the amplitudes are expressed in terms of one- and two-dimensional harmonic polylogarithms.

Citations

• New features of FORM
• Higgs boson production at hadron colliders in NNLO QCD
• Next-to-leading order QCD corrections to differential distributions of Higgs boson production in hadron–hadron collisions
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• On Nielsen's generalized polylogarithms and their numerical calculation
• The FORM project
• The infrared structure ofe+e−→ 3 jets at NNLO reloaded
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• The two-loop QCD matrix element for e+e−→3 jets
• Differential Equations for Two-Loop Four-Point Functions
• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Two-loop QCD corrections to gluon–gluon scattering
• Next-to-Next-to-Leading Order Corrections to Three-Jet Observables in Electron-Positron Annihilation
• Event shapes and jet rates in electron-positron annihilation at NNLO
• Next-to-leading order Higgs + 2 jet production via gluon fusion
• Moments of event shapes in electron-positron annihilation at next-to-next-to-leading order
• The quark Regge trajectory at two loops
• Numerical evaluation of two-dimensional harmonic polylogarithms
• Regularization and renormalization of gauge fields
• Numerical evaluation of harmonic polylogarithms
• Search for the Standard Model Higgs boson at LEP
• Dimensional renorinalization : The number of dimensions as a regularizing parameter
• Higgs Decay to Order \α_s⁴
• Harmonic Polylogarithms

Cited by

• Higgs Boson Production in Association with a Jet at Next-to-Next-to-Leading Order
• Fiducial cross sections for Higgs boson production in association with a jet at next-to-next-to-leading order in QCD
• Threshold resummation at N3LL accuracy and soft-virtual cross sections at N3LO
• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
• Full colour for loop amplitudes in Yang-Mills theory
• Transverse-momentum spectra of electroweak bosons near threshold at NNLO
• SusHi Bento: Beyond NNLO and the heavy- top limit
• Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes
• Higgs Boson Gluon-Fusion Production in QCD at Three Loops
• Three loop soft function forN3LL′gluon fusion Higgs boson production in soft-collinear effective theory
• One-loop soft theorems via dual superconformal symmetry
• Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle
• Modeling BSM effects on the Higgs transverse-momentum spectrum in an EFT approach

Related

• Towards two-loop QCD corrections to \mathbfpp → t t j
• Two-loop helicity amplitudes for V+jet production including axial vector couplings to higher orders in ε
• Three-Loop QCD corrections to the production of a Higgs boson and a Jet
• Numerical evaluation of two-loop QCD helicity amplitudes for gg→ ttg at leading colour
• Exact two-loop amplitudes for Higgs plus jet production with a cubic Higgs self-coupling