Polynomial Structures in One-Loop Amplitudes
| dc.creator | Britto, Ruth | |
| dc.creator | Feng, Bo | |
| dc.creator | Yang, Gang | |
| dc.date | 2008-03-21 | |
| dc.date | 2008-09-17 | |
| dc.date.accessioned | 2026-07-07T12:28:33Z | |
| dc.date.available | 2026-07-07T12:28:33Z | |
| dc.description | A general one-loop scattering amplitude may be expanded in terms of master integrals. The coefficients of the master integrals can be obtained from tree-level input in a two-step process. First, use known formulas to write the coefficients of (4-2epsilon)-dimensional master integrals; these formulas depend on an additional variable, u, which encodes the dimensional shift. Second, convert the u-dependent coefficients of (4-2epsilon)-dimensional master integrals to explicit coefficients of dimensionally shifted master integrals. This procedure requires the initial formulas for coefficients to have polynomial dependence on u. Here, we give a proof of this property in the case of massless propagators. The proof is constructive. Thus, as a byproduct, we produce different algebraic expressions for the scalar integral coefficients, in which the polynomial property is apparent. In these formulas, the box and pentagon contributions are separated explicitly. | |
| dc.description | 44 pages, title changed to be closer to content, section 2.1 extended to section 2.1 and 2.2 to be more self-contained, references added, typos corrected, the final version to appear in JHEP | |
| dc.identifier | https://arxiv.org/abs/0803.3147 | |
| dc.identifier | http://arxiv.org/abs/0803.3147 | |
| dc.identifier | JHEP 0809:089,2008 | |
| dc.identifier | doi:10.1088/1126-6708/2008/09/089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215578 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Polynomial Structures in One-Loop Amplitudes | |
| dc.type | text |