The two-loop massless off-shell QCD operator matrix elements to finite terms

Blümlein, J.; Schönwald, K.; Schneider, C.; Marquard, Peter

doi:10.1016/j.nuclphysb.2022.115794

Journal Article

PUBDB-2022-02786

The two-loop massless off-shell QCD operator matrix elements to finite terms

Blümlein, J. (Corresponding author)DESY* ; Marquard, P.DESY* ; Schneider, C. ; Schönwald, K.

2022
North-Holland Publ. Co. Amsterdam

Nuclear physics <Amsterdam> / B 980, 115794 (2022) [10.1016/j.nuclphysb.2022.115794]

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Please use a persistent id in citations: doi:10.1016/j.nuclphysb.2022.115794 doi:10.3204/PUBDB-2022-02786

Report No.: DESY-21-028; DO-TH 21-33; RISC Report Series 22-01; SAGEX-21-39; TTP 21-007; arXiv:2202.03216

Abstract: 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.

Keyword(s): quantum chromodynamics: operator ; higher-order ; anomalous dimension ; off-shell ; Mellin transformation ; mathematical methods

Classification:

ddc:530

Note: 101 pages Latex

Contributing Institute(s):

Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

Experiment(s):

HERA: H1

Appears in the scientific report 2022

Database coverage:
Medline

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