Contributions to heavy flavour transition matrix elements in the variable flavour number scheme are considered at 3-loop order. In particular a calculation of the diagrams with two equal masses that contribute to the massive operator matrix element $A_{ gg,Q}^{ (3)}$ is performed. In the Mellin space result one finds finite nested binomial sums. In $x$-space these sums correspond to iterated integrals over an alphabet containing also square-root valued letters.

Categories: hep-ph

3-loop Massive $O(T_F^2)$ Contributions to the DIS Operator Matrix Element $A_{gg}$