Knots and Numbers in ϕ<sup>4</sup> Theory to 7 Loops and Beyond
Knots and Numbers in ϕ<sup>4</sup> Theory to 7 Loops and Beyond
We evaluate all the primitive divergences contributing to the 7-loop β-function of ɸ 4 theory, i.e. all 59 diagrams that are free of subdivergences and hence give scheme-independent contributions. Guided by the association of diagrams with knots, we obtain analytical results for 56 diagrams. The remaining three diagrams, associated with …