Preprint

PUBDB-2022-00964

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms

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

2022

This record in other databases:  

Please use a persistent id in citations: doi:10.3204/PUBDB-2022-00964

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 $O(\varepsilon)$ 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 ; buildings ; mathematical methods

Note: 101 pages Latex

---

Contributing Institute(s):

1. Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. SAGEX - Scattering Amplitudes: from Geometry to Experiment (764850) (764850)

Experiment(s):

1. HERA: H1

Appears in the scientific report 2022

---

Database coverage:
; ; Published

---

---

Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Blümlein, J. (Corresponding author)DESY* ; Marquard, P.DESY* ; Schneider, C. ; Schönwald, K.
The two-loop massless off-shell QCD operator matrix elements to finite terms
Nuclear physics <Amsterdam> / B 980, 115794 (2022) [10.1016/j.nuclphysb.2022.115794]2022     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

---