Quantum Field Theory: Developments and Perspectives

Ladder Topologies for Massive 3-Loop Operator Matrix Elements

Not scheduled

1m

DESY Main Auditorium (DESY Hamburg)

Speaker

Mr Alexander Hasselhuhn (DESY Zeuthen)

Description

We calculate massive 3-loop graphs for operator matrix elements which belong to ladder topologies. These diagrams contribute to the $O(\alpha_s^3)$ heavy flavor corrections to the deep-inelastic structure function $F_2(x,Q^2)$. The diagrams are represented in terms of generalized hypergeometric and Appell-functions, which lead to nested sums of hypergeometric terms equipped with harmonic sums. These sums can be solved applying modern summation technologies in $\Pi\Sigma$--fields. An algorithmic approach to compute these diagrams is presented.