Four-loop collinear anomalous dimensions in QCD and super Yang-Mills
arXiv:2102.09725 · doi:10.1016/j.physletb.2021.136503
Abstract
We calculate the collinear anomalous dimensions in massless four-loop QCD and supersymmetric Yang-Mills theory from the infrared poles of vertex form factors. We give very precise numerical approximations and a conjecture for the complete analytic results in both models we consider.
arXiv comment10 pages, 1 figure, ancillary files with results
References in corpus (41)
- The four-loop beta-function in Quantum Chromodynamics
- Differential Equations for Two-Loop Four-Point Functions
- Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
- LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
- The Four-Loop QCD Beta-Function and Anomalous Dimensions
- Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
- Multi-loop Amplitudes and Resummation
- pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
- A novel approach to integration by parts reduction
- FIESTA 4: optimized Feynman integral calculations with GPU support
- Three-Loop Results for Quark and Gluon Form Factors
- Towards a Basis for Planar Two-Loop Integrals
- High-precision calculation of multi-loop Feynman integrals by difference equations
- Two-loop Integrand Decomposition into Master Integrals and Surface Terms
- Integration-by-parts reductions from unitarity cuts and algebraic geometry
- Higher-Order threshold effects to inclusive processes in QCD
- The massless higher-loop two-point function
- Cusp and collinear anomalous dimensions in four-loop QCD from form factors
- On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
- On the periods of some Feynman integrals
- A quasi-finite basis for multi-loop Feynman integrals
- A New Algorithm For The Generation Of Unitarity-Compatible Integration By Parts Relations
- Two-loop corrections to Higgs boson production
- Four-loop photon quark form factor and cusp anomalous dimension in the large- limit of QCD
- Matter dependence of the four-loop cusp anomalous dimension
- Feynman integral relations from parametric annihilators
- Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals
- Quark and gluon form factors to four loop order in QCD: the contributions
- DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory
- The contributions to fermionic four-loop form factors
- On the Computation of Form Factors in Massless QCD with Finite Master Integrals
- The Sudakov form factor at four loops in maximal super Yang-Mills theory
- Soft corrections to inclusive deep-inelastic scattering at four loops and beyond
- Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
- Approximate four-loop QCD corrections to the Higgs-boson production cross section
- Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
- The Four-Loop Cusp Anomalous Dimension from the Sudakov Form Factor
- Quark and gluon form factors in four loop QCD: the and contributions
- Planar master integrals for four-loop form factors
- Constructing multi-loop scattering amplitudes with manifest singularity structure
- Fermionic corrections to quark and gluon form factors in four-loop QCD
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- Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
- Disentangling the Regge cut and Regge pole in perturbative QCD
- Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
- Three-loop helicity amplitudes for quark-gluon scattering in QCD
- Full-color three-loop three-point form factors in N=4 SYM
- The contribution to the non-singlet splitting function at four-loop order
- Drell-Yan Transverse-Momentum Spectra at NLL and Approximate NLL with SCETlib
- The complete singlet contribution to the massless quark form factor at three loops in QCD
- The Four-Loop SYM Sudakov Form Factor
- The three-loop singlet contribution to the massless axial-vector quark form factor
- Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops
- The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
- The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
- Two-loop bottom mass effects on the Higgs transverse momentum spectrum in top-induced gluon fusion
- Three-loop helicity amplitudes for photon+jet production
- Deciphering the Maximal Transcendentality Principle via Bootstrap
- Hyperlogarithms in the theory of turbulence of infinite dimension
- Fermionic corrections to quark and gluon form factors in four-loop QCD
- Three-loop helicity amplitudes for four-quark scattering in massless QCD
- Three-Loop QCD corrections to the production of a Higgs boson and a Jet
- Singlet and non-singlet three-loop massive form factors
- Boomerang webs up to three-loop order
- Soft Integrals and Soft Anomalous Dimensions at NLO and Beyond