Five-loop renormalization group functions of ${O}(n)$-symmetric $\phi^4$-theory and $\ep$-expansions of critical exponents up to $\ep^5$

Motivated by the discovery of errors in six of the 135 diagrams in the published five-loop expansions of the β -function and the anomalous dimensions of the O ( n )-symmetric φ 4 -theory in D = 4 − ǫ dimensions we present the results of a full analytic reevaluation of all diagrams. The divergences are removed by minimal subtraction and ǫ -expansions are given for the critical exponents η , ν , and ω up to order ǫ 5 .