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We present the perturbative renormalization group functions of$O(n)$-symmetric $\phi^4$ theory in $4-2\varepsilon$ dimensions to the sixthloop order in the minimal subtraction scheme. In addition, we estimate diagramswithout subdivergences up to 11 loops and compare these results with theasymptotic behaviour of the beta function. Furthermore, we perform aresummation to obtain estimates for critical exponents in three and twodimensions.

Minimally subtracted six loop renormalization of $O(n)$-symmetric $\phi^4$ theory and critical exponents