New Results in Four and Five Loop QED calculations

Abstract

We report on two recent multiloop results in QED: (i) the four-loop corrections to the conversion relations between the QED charge renormalized in the on-shell and MS-bar schemes; (ii) analytical evaluation of a class of asymptotic contributions to the muon anomaly at five-loops.

Talk presented at 9th DESY Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, Sondershausen, Germany, 20-25 April 2008

References in corpus (28)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• New features of FORM
• The three loop relation between the \bar {MS} and the pole quark masses
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Muon g-2: Review of Theory and Experiment
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• QCD Corrections to the $e^{+}{e}^{-}$ Cross Section and the $Z$ Boson Decay Rate
• Explicit solutions of the 3--loop vacuum integral recurrence relations
• Improved ${\alpha }^4$ Term of the Electron Anomalous Magnetic Moment
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• The Tenth-Order QED Contribution to the Lepton g-2: Evaluation of Dominant ${\alpha }^5$ Terms of Muon g-2
• Four-Loop Singlet Contribution to the $\rho$ Parameter
• High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles
• Improved ${\alpha }^4$ Term of the Muon Anomalous Magnetic Moment
• High-precision e-expansions of massive four-loop vacuum bubbles
• Analytical on-shell QED results: 3-loop vacuum polarization, 4-loop beta-function and the muon anomaly
• ep-Finite Basis of Master Integrals for the Integration-By-Parts Method
• Muon Anomaly from Lepton Vacuum Polarization and The Mellin--Barnes Representation
• The muon anomalous magnetic moment in QED: three-loop electron and tau contributions
• Calculating four-loop tadpoles with one non-zero mass
• Heavy-quark QCD vacuum polarisation function: analytical results at four loops
• Tuning FORM with large calculations
• Heavy-quark vacuum polarization: first two moments of the O(alphas^3 nf^2) contribution
• The Analytical Value of the Corner-Ladder Graphs Contribution to the Electron G-2 in QED
• Extension of the functionality of the symbolic program FORM by external software
• Hypergeometric representation of a four-loop vacuum bubble

Cited by in corpus (10)

• The Muon g-2
• Complete Tenth-Order QED Contribution to the Muon g-2
• Precision Tau Physics
• Leptonic contributions to the effective electromagnetic coupling at four-loop order in QED
• Two-Loop Virtual Corrections to Drell-Yan Production at order alpha_s alpha^3
• The relation between the QED charge renormalized in MSbar and on-shell schemes at four loops, the QED on-shell beta-function at five loops and asymptotic contributions to the muon anomaly at five and six loops
• Tenth-Order Lepton Anomalous Magnetic Moment -- Second-Order Vertex Containing Two Vacuum Polarization Subdiagrams, One Within the Other
• Proper Eighth-Order Vacuum-Polarization Function and its Contribution to the Tenth-Order Lepton g-2
• Analytical five-loop expressions for the renormalization group QED $\beta$-function in different renormalization schemes
• Standard Model Predictions for the Muon $(g-2)/2$