TY  - THES
AB  - In this thesis, we present analytical expansion results of some single-mass-scale four-loop vacuum integrals in 3 and 4 dimensions. After finding hypergeometric representations with half-integer coefficients, we use algorithms which we implemented in FORM to expand these in terms of nested sums.
DA  - 2009
KW  - Perturbative quantum field theory
KW  - Electrostatic QCD
KW  - Feynman integrals
KW  - Multi-loop integrals
KW  - Hypergeometric functions
LA  - eng
PY  - 2009
TI  - Feynman integrals, hypergeometric functions and nested sums
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:361-16047
Y2  - 2024-11-21T21:39:00
ER  -