Four Loop Massless Propagators: a Numerical Evaluation of All Master Integrals

Abstract

We present numerical results which are needed to evaluate all non-trivial master integrals for four-loop massless propagators, confirming the recent analytic results of[1]and evaluating an extra order in $\ep$ expansion for each master integral.

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• Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals
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• SecDec: A general program for sector decomposition
• FIESTA 2: parallelizeable multiloop numerical calculations
• Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Complete QCD Corrections to Hadronic $Z$--Decays in Order ${\alpha }_s^4$
• Feynman integrals and hyperlogarithms
• Four-loop photon quark form factor and cusp anomalous dimension in the large-$N_c$ limit of QCD
• Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators
• Numerical Evaluation of Tensor Feynman Integrals in Euclidean Kinematics
• The $n_f^2$ contributions to fermionic four-loop form factors
• On the Computation of Form Factors in Massless QCD with Finite Master Integrals
• Four-loop strong coupling beta-function in the Standard Model
• Completing the hadronic Higgs boson decay at order ${\alpha }_s^4$
• Massless correlators of vector, scalar and tensor currents in position space at orders alpha_s^3 and alpha_s^4: explicit analytical results
• On the analytic computation of massless propagators in dimensional regularization
• The (Q_7,Q_{1,2}) contribution to B -> X_s gamma at O(alpha_s^2)
• Regularization with Numerical Extrapolation for Finite and UV-Divergent Multi-loop Integrals
• Glue-and-Cut at Five Loops
• Adler Function, DIS sum rules and Crewther Relations
• Massless Propagators, $R(s)$ and Multiloop QCD
• Renormalization and non-renormalization of scalar EFTs at higher orders
• Renormalization of the flavor-singlet axial-vector current and its anomaly in dimensional regularization
• On Epsilon Expansions of Four-loop Non-planar Massless Propagator Diagrams
• Renormalization of the flavor-singlet axial-vector current and its anomaly in QCD