Numbers and Functions in Quantum Field Theory
  We review recent results in the theory of numbers and single-valued functions on the complex plane which arise in quantum field theory. We use the results to calculate the renormalization functions $\beta$, $\gamma$, $\gamma_m$ of dimensionally regularized $\phi^4$ theory in the minimal subtraction scheme up to seven loops. 
Oliver Schnetz
hep-th math-ph math.MP math.NT