Complete renormalization of QCD at five loops

Abstract

We present new analytical five-loop Feynman-gauge results for the anomalous dimensions of ghost field and -vertex, generalizing the known values for SU(3) to a general gauge group. Together with previously published results on the quark mass and -field anomalous dimensions and the Beta function, this completes the 5-loop renormalization program of gauge theories in that gauge.

14 pages, 2 ancillary files available with the source

References in corpus (8)

• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Towards the five-loop Beta function for a general gauge group
• Massless Propagators, $R(s)$ and Multiloop QCD
• Forcer: a FORM program for 4-loop massless propagators
• Renormalization group functions of ${\varphi }^4$ theory in the MS-scheme to six loops
• Massless propagators: applications in QCD and QED
• Five-loop massive tadpoles

Cited by in corpus (56)

• Version 3 of {\tt RunDec} and {\tt CRunDec}
• Minimally subtracted six loop renormalization of $O(n)$-symmetric ${\varphi }^4$ theory and critical exponents
• A Systematic and Efficient Method to Compute Multi-loop Master Integrals
• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• Collider Physics at the Precision Frontier
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Five-loop renormalisation of QCD in covariant gauges
• One constraint to kill them all?
• Multiloop corrections for collider processes using auxiliary mass flow
• Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators
• Determining Feynman integrals with only input from linear algebra
• Dimension-six matrix elements for meson mixing and lifetimes from sum rules
• Precise Values of Running Quark and Lepton Masses in the Standard Model
• Four-loop QCD propagators and vertices with one vanishing external momentum
• QCD Running Couplings and Effective Charges
• Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics
• Determine Arbitrary Feynman Integrals by Vacuum Integrals
• Multi-loop techniques for massless Feynman diagram calculations
• Calculation of Feynman loop integration and phase-space integration via auxiliary mass flow
• Asymptotic behavior of cutoff effects in Yang-Mills theory and in Wilson's lattice QCD
• Two-loop five-point massless QCD amplitudes within the IBP approach
• The electron self-energy in QED at two loops revisited
• Critical behavior of the QED${}_3$-Gross-Neveu-Yukawa model at four loops
• Extended investigation of the twelve-flavor $\beta$-function
• Large $N_f$ quantum field theory
• Precision physics with inclusive QCD processes
• Critical exponents from five-loop scalar theory renormalization near six-dimensions
• A non-perturbative exploration of the high energy regime in $N_{\text{f}}=3$ QCD
• Three-loop massive tadpoles and polylogarithms through weight six
• Glue-and-Cut at Five Loops
• The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$
• Fermion Traces Without Evanescence
• Logarithmic corrections to O($a$) and O($a^2$) effects in lattice QCD with Wilson or Ginsparg-Wilson quarks
• FMFT: Fully Massive Four-loop Tadpoles
• The $\overline{\mathrm{MS}}$-scheme ${\alpha }_s^5$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold $\{\beta \}$-expanded representation
• Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints
• Eight dimensional QCD at one loop
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Five loop minimal MOM scheme field and quark mass anomalous dimensions in QCD
• Gauge-invariant Renormalization of the Gluino-Glue operator
• Renormalization of QCD in the interpolating momentum subtraction scheme at three loops
• Four-loop renormalization of QCD with a reducible fermion representation of the gauge group: anomalous dimensions and renormalization constants
• Five loop anomalous dimension of non-singlet quark currents in the RI' scheme
• The method of global R* and its applications
• Three-Loop OPE Wilson Coefficients of Dimension-Four Operators for (Axial-)Vector and (Pseudo-)Scalar Current Correlators
• Six dimensional ultraviolet completion of the $CP(N)$ $\sigma$ model at two loops
• The decomposed photon anomalous dimension in QCD and the $\{\beta \}$-expanded representations for the Adler function
• Top quark physics in the Large Hadron Collider era
• Coordinate space representation for renormalization of quantum electrodynamics
• Riemann $\zeta (4)$ function contributions to $O\left({{\alpha }_s}^5\right)$ terms of Adler D-function and Bjorken polarized sum rule in $SU\left(N_c\right)$ QCD: results and consequences
• Two-loop mass anomalous dimension in reduced quantum electrodynamics and application to dynamical fermion mass generation
• Analytic auxiliary mass flow to compute master integrals in singular kinematics
• Background field method in the large $N_f$ expansion of scalar QED
• Renormalisation