Lectures on multiloop calculations
| dc.creator | Grozin, A. G. | |
| dc.date | 2003-07-23 | |
| dc.date | 2003-11-15 | |
| dc.date.accessioned | 2026-07-07T10:48:49Z | |
| dc.date.available | 2026-07-07T10:48:49Z | |
| dc.description | I discuss methods of calculation of propagator diagrams (massless, those of Heavy Quark Effective Theory, and massive on-shell diagrams) up to 3 loops. Integration-by-parts recurrence relations are used to reduce them to linear combinations of basis integrals. Non-trivial basis integrals have to be calculated by some other method, e.g., using Gegenbauer polynomial technique. Many of them are expressed via hypergeometric functions; in the massless and HQET cases, their indices tend to integers at $ε\to0$. I discuss the algorithm of their expansion in $ε$, in terms of multiple $ζ$ values. These lectures were given at Calc-03 school, Dubna, 14--20 June 2003. | |
| dc.description | 52 pages, 49 figures. Lectures at Calc-03 school, Dubna, 14--20 June 2003. v2: 2 references added, minor typos corrected. v3: methodical improvements, typo in eq. (3.19) corrected, 2 references added | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0307297 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0307297 | |
| dc.identifier | Int.J.Mod.Phys.A19:473-520,2004 | |
| dc.identifier | doi:10.1142/S0217751X04016775 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184013 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Lectures on multiloop calculations | |
| dc.type | text |