Demonstration of the Equivalence of Soft and Zero-Bin Subtractions
| dc.creator | Idilbi, Ahmad | |
| dc.creator | Mehen, Thomas | |
| dc.date | 2007-07-09 | |
| dc.date.accessioned | 2026-07-07T10:56:38Z | |
| dc.date.available | 2026-07-07T10:56:38Z | |
| dc.description | Calculations of collinear correlation functions in perturbative QCD and Soft-Collinear Effective Theory (SCET) require a prescription for subtracting soft or zero-bin contributions in order to avoid double counting the contributions from soft modes. At leading order in $λ$, where $λ$ is the SCET expansion parameter, the zero-bin subtractions have been argued to be equivalent to convolution with soft Wilson lines. We give a proof of the factorization of naive collinear Wilson lines that is crucial for the derivation of the equivalence. We then check the equivalence by computing the non-Abelian two-loop mixed collinear-soft contribution to the jet function in the quark form factor. These results provide strong support for the equivalence, which can be used to give a nonperturbative definition of the zero-bin subtraction at lowest order in $λ$. | |
| dc.description | 14 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0707.1101 | |
| dc.identifier | http://arxiv.org/abs/0707.1101 | |
| dc.identifier | Phys.Rev.D76:094015,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.76.094015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186477 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Demonstration of the Equivalence of Soft and Zero-Bin Subtractions | |
| dc.type | text |