Towards the five-loop Beta function for a general gauge group
arXiv:1606.08662 · doi:10.1007/JHEP07(2016)127
Abstract
We present analytical results for the and terms of the five-loop Beta function, for a general gauge group. While the former term agrees with results available from large- studies, the latter is new and extends the value known for SU(3) from an independent calculation.
8 pages, 2 figures; v2 to match published version
References in corpus (18)
- The four-loop beta-function in Quantum Chromodynamics
- New features of FORM
- The three-loop QCD -function and anomalous dimensions
- Five-Loop Running of the QCD coupling constant
- The 4-loop quark mass anomalous dimension and the invariant quark mass
- The Four-Loop QCD Beta-Function and Anomalous Dimensions
- FORM version 4.0
- Quark Mass Anomalous Dimension to alpha_s**4
- Group theory factors for Feynman diagrams
- The Multithreaded version of FORM
- Two-loop mixing of dimension-five flavor-changing operators
- Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
- Beta functions and anomalous dimensions up to three loops
- Quark Mass and Field Anomalous Dimensions to
- Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop
- The QCD beta-function at O(1/N_f)
- Six loop analytical calculation of the field anomalous dimension and the critical exponent in -symmetric model
- Massless propagators: applications in QCD and QED
Cited by in corpus (52)
- FLAG Review 2019
- FLAG Review 2021
- Five-Loop Running of the QCD coupling constant
- The five-loop beta function of Yang-Mills theory with fermions
- The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
- Collider Physics at the Precision Frontier
- The strong coupling from a nonperturbative determination of the parameter in three-flavor QCD
- Five-loop quark mass and field anomalous dimensions for a general gauge group
- Five-loop renormalisation of QCD in covariant gauges
- Complete renormalization of QCD at five loops
- Colour and logarithmic accuracy in final-state parton showers
- FLAG Review 2024
- Four loop renormalization of the Gross-Neveu model
- Four-loop QCD propagators and vertices with one vanishing external momentum
- QCD Running Couplings and Effective Charges
- Superconducting quantum criticality of topological surface states at three loops
- Four-loop strong coupling beta-function in the Standard Model
- EKO: Evolution Kernel Operators
- Effective Multi-Higgs Couplings to Gluons
- Critical behavior of the QED-Gross-Neveu-Yukawa model at four loops
- Implications of the Principle of Maximum Conformality for the QCD Strong Coupling
- Precision physics with inclusive QCD processes
- The gradient flow coupling at high-energy and the scale of SU(3) Yang-Mills theory
- Running coupling constant from position-space current-current correlation functions in three-flavor lattice QCD
- Determination of at five loops from holographic QCD
- Non-perturbative renormalization by decoupling
- How perturbative are heavy sea quarks?
- Lattice determinations of the strong coupling
- Four-loop QCD -function with different fermion representations of the gauge group
- Determination of by the non-perturbative decoupling method
- Past, present, and future of precision determinations of the QCD coupling from lattice QCD
- Renormalization Scheme Dependence in a QCD Cross Section
- Fermion Traces Without Evanescence
- Interplay Between Approximation Theory and Renormalization Group
- Zimmermann's Forest Formula, Infrared Divergences and the QCD Beta Function
- Renormalization group summation and analytic continuation from spacelike to timeline regions
- Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints
- Improved strong coupling determinations from hadronic decays of electroweak bosons at NLO accuracy
- Chiral Condensate and Spectral Density at full five-loop and partial six-loop orders of Renormalization Group Optimized Perturbation
- Self-similar extrapolation in quantum field theory
- Four-loop renormalization of QCD with a reducible fermion representation of the gauge group: anomalous dimensions and renormalization constants
- Renormalization group improved and determination from hadronic decays
- Precision physics with QCD
- The method of global R* and its applications
- Five-loop massive tadpoles
- Charm sea effects on charmonium decay constants and heavy meson masses
- Next-to-Leading Order QCD Corrections to Heavy-Flavour Production in Neutral Current DIS
- Determination of the Strong Coupling Constant by the ALPHA Collaboration
- The anomalous dimension of spin-1/2 baryons in many flavors QCD
- Describing phase transitions in field theory by self-similar approximants
- Updated Determination of Ellis-Jaffe Sum Rules up to QCD corrections
- Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD