Methods for the Reduction of Three-Loop QCD Form Factors
| dc.creator | Toedtli, Beat | |
| dc.date | 2009-03-03 | |
| dc.date.accessioned | 2026-07-07T12:48:42Z | |
| dc.date.available | 2026-07-07T12:48:42Z | |
| dc.description | In this thesis, we study the three-loop QCD form factors. After an introduction and a discussion of the physics motivation, we generate the quark form factor using Qgraf. We then show how to bring the Feynman integrals into a unique form by using various trivial symmetries such as shifts in loop momenta. We then try (and fail) to reduce it to master integrals using the Laporta algorithm. After a discussion of our implementation of the Laporta algorithm (called "Solve") we perform an extensive classification of all the integrals into irreducible, reducible and loop-by-loop integrable topologies. We devise methods to deal with each of these cases. We show that our reduction code fails to reduce only a small set of 11 topologies. We finally give some partial results, and in the appendix we collect some already known master integrals. | |
| dc.description | PhD thesis, 90 Pages | |
| dc.identifier | https://arxiv.org/abs/0903.0540 | |
| dc.identifier | http://arxiv.org/abs/0903.0540 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222144 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Methods for the Reduction of Three-Loop QCD Form Factors | |
| dc.type | text |