TY  - JOUR
AU  - Blümlein, J.
AU  - Marquard, Peter
AU  - Schneider, C.
AU  - Schönwald, K.
TI  - The two-loop massless off-shell QCD operator matrix elements to finite terms
JO  - Nuclear physics  / B
VL  - 980
IS  - arXiv:2202.03216
SN  - 0550-3213
CY  - Amsterdam
PB  - North-Holland Publ. Co.
M1  - PUBDB-2022-02786
M1  - arXiv:2202.03216
M1  - DESY-21-028
M1  - DO-TH 21-33
M1  - TTP 21-007
M1  - RISC Report Series 22-01
M1  - SAGEX-21-39
SP  - 115794
PY  - 2022
N1  - 101 pages Latex
AB  - We calculate the unpolarized and polarized two–loop massless off–shell operator matrix elements in QCD to O(ε) in the dimensional parameter in an automated way. Here we use the method of arbitrary high Mellin moments and difference ring theory, based on integration-by-parts relations. This method also constitutes one way to compute the QCD anomalous dimensions. The presented higher order contributions to these operator matrix elements occur as building blocks in the corresponding higher order calculations up to four–loop order. All contributing quantities can be expressed in terms of harmonic sums in Mellin–N space or by harmonic polylogarithms in z–space. We also perform comparisons to the literature.
KW  - quantum chromodynamics: operator (INSPIRE)
KW  - higher-order (INSPIRE)
KW  - anomalous dimension (INSPIRE)
KW  - off-shell (INSPIRE)
KW  - Mellin transformation (INSPIRE)
KW  - mathematical methods (INSPIRE)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000812150200008
DO  - DOI:10.1016/j.nuclphysb.2022.115794
UR  - https://bib-pubdb1.desy.de/record/478836
ER  -