Five-loop massive tadpoles
arXiv:1609.06786
Abstract
We provide an update on a long-term project that aims at evaluating massive vacuum integrals at the five-loop frontier, with high precision and in various space-time dimensions. A number of applications are sketched, mainly concerning the determination of anomalous dimensions, for quantum field theories in four, three and two dimensions.
8 pages, 1 figure, to appear in the proceedings of Loops and Legs in Quantum Field Theory, 24-29 April 2016, Leipzig, Germany
References in corpus (19)
- The four-loop beta-function in Quantum Chromodynamics
- Five-Loop Running of the QCD coupling constant
- The Four-Loop QCD Beta-Function and Anomalous Dimensions
- FORM version 4.0
- Reduze 2 - Distributed Feynman Integral Reduction
- FIESTA 4: optimized Feynman integral calculations with GPU support
- SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop
- Beta functions and anomalous dimensions up to three loops
- Numerical evaluation of multi-loop integrals by sector decomposition
- Resolution of singularities for multi-loop integrals
- FIRE4, LiteRed and accompanying tools to solve integration by parts relations
- High-Energy Approximation of One-Loop Feynman Integrals
- High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles
- Towards the five-loop Beta function for a general gauge group
- High-precision e-expansions of massive four-loop vacuum bubbles
- Four loop renormalization of the Gross-Neveu model
- Calculation of master integrals by difference equations
- Proof of the zig-zag conjecture
- The a-function for N=2 supersymmetric gauge theories in three dimensions