Deciphering Colour Building Blocks of Massive Multiparton Amplitudes at 4-loops and beyond
arXiv:2212.06610 · doi:10.1007/JHEP02(2023)258
Abstract
The soft function in non-abelian gauge theories exponentiate, and their logarithms can be organised in terms of the collections of Feynman diagrams called Cwebs. The colour factors that appear in the logarithm are controlled by the web mixing matrices. Direct construction of the diagonal blocks of Cwebs using the new concepts of Normal ordering, basis Cweb and Fused-Web was recently carried out in~\cite{Agarwal:2022wyk}. In this article we establish correspondence between the boomerang webs introduced in ~\cite{Gardi:2021gzz} and non-boomerang Cwebs. We use this correspondence together with Uniqueness theorem and Fused web formalism introduced in ~\cite{Agarwal:2022wyk} to obtain the diagonal blocks of four general classes of Cwebs to all orders in perturbation theory which also cover all the four loop Boomerang Cwebs connecting four Wilson lines. We also fully construct the mixing matrix of a special Cweb to all orders in perturbation theory.
arXiv comment57 pages, 33 figures, Published Version. arXiv admin note: text overlap with arXiv:2204.05936
References in corpus (47)
- An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
- Effective field theories for heavy quarkonium
- Antenna Subtraction at NNLO
- On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
- A novel subtraction scheme for double-real radiation at NNLO
- Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
- Evolution of Color Exchange in QCD Hard Scattering
- Higgs boson production in association with a jet at next-to-next-to-leading order
- The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
- Universal structure of subleading infrared poles in gauge theory amplitudes
- The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
- Path integral approach to eikonal and next-to-eikonal exponentiation
- Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories
- Three-loop corrections to the soft anomalous dimension in multi-leg scattering
- Cusp and collinear anomalous dimensions in four-loop QCD from form factors
- Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
- Nested soft-collinear subtractions in NNLO QCD computations
- Two-loop divergences of scattering amplitudes with massive partons
- Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
- On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
- Hard-Soft-Collinear Factorization to All Orders
- High energy scattering in QCD and cross singularities of Wilson loops
- Matching of Singly- and Doubly-Unresolved Limits of Tree-level QCD Squared Matrix Elements
- Webs in multiparton scattering using the replica trick
- Bootstrapping the QCD soft anomalous dimension
- The Massive Soft Anomalous Dimension Matrix at Two Loops
- Four-dimensional unsubtraction with massive particles
- Local Analytic Sector Subtraction at NNLO
- The Non-Abelian Exponentiation theorem for multiple Wilson lines
- Diagrammatic Exponentiation for Products of Wilson Lines
- Infrared Singularities of Scattering Amplitudes and NLL Resummation for -Jet Processes
- Geometric IR subtraction for real radiation
- On the renormalization of multiparton webs
- General properties of multiparton webs: proofs from combinatorics
- Soft corrections to inclusive deep-inelastic scattering at four loops and beyond
- Approximate four-loop QCD corrections to the Higgs-boson production cross section
- Structure of Infrared Singularities of Gauge-Theory Amplitudes at Three and Four Loops
- Triple (and quadruple) soft-gluon radiation in QCD hard scattering
- Factorisation and Subtraction beyond NLO
- Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order
- Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
- Ultraviolet divergences and factorization for coordinate-space amplitudes
- Webs and Posets
- Multiparton webs beyond three loops
- Climbing three-Reggeon ladders: four-loop amplitudes in the high-energy limit in full colour
- Cwebs beyond three loops in multiparton amplitudes
- Building blocks of Cwebs in multiparton scattering amplitudes