Transcendental numbers and the topology of three-loop bubbles
- 2 August 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 60 (6) , 061701
- https://doi.org/10.1103/physrevd.60.061701
Abstract
We present proof that all transcendental numbers that are needed for the calculation of the master integrals for three-loop vacuum Feynman diagrams can be obtained by calculating diagrams with an even simpler topology, the topology of spectacles.Keywords
All Related Versions
This publication has 19 references indexed in Scilit:
- Quark mass anomalous dimension to O (αs4)Published by Elsevier ,1998
- Feynman diagrams as a weight system: four-loop test of a four-term relationPhysics Letters B, 1998
- The 4-loop quark mass anomalous dimension and the invariant quark massPhysics Letters B, 1997
- The four-loop β-function in quantum chromodynamicsPhysics Letters B, 1997
- Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loopsPhysics Letters B, 1997
- Correlator of the quark scalar currents and Γtot(H → hadrons) at O(αs3) in pQCDPhysics Letters B, 1997
- Knots and Numbers in ϕ4 Theory to 7 Loops and BeyondInternational Journal of Modern Physics C, 1995
- Three-loop on-shell charge renormalization without integration: $$\Lambda _{QED}^{\overline {MS} } $$ to four loopsThe European Physical Journal C, 1992
- Integration by parts: The algorithm to calculate β-functions in 4 loopsNuclear Physics B, 1981
- A theorem on analytical calculability of 4-loop renormalization group functionsPhysics Letters B, 1981