Factorization and Resummation of Small x Scaling Violations with Running Coupling
| dc.creator | Altarelli, Guido | |
| dc.creator | Ball, Richard D. | |
| dc.creator | Forte, Stefano | |
| dc.date | 2001-09-20 | |
| dc.date.accessioned | 2026-07-07T10:52:25Z | |
| dc.date.available | 2026-07-07T10:52:25Z | |
| dc.description | We discuss the inclusion of running coupling effects in perturbative small x evolution equations. We show that a running coupling BFKL-like x-evolution equation is fully compatible, up to higher twist corrections, with the standard factorized perturbative evolution of parton distributions. We then use this result, combined with the well-known Airy asymptotics, to prove that the oscillations which are present in the running-coupling BFKL solution do not affect the associated splitting functions, which instead remain smooth in the small x limit. This allows us to give a prescription to include running-coupling corrections in the small-x resummation of scaling violations. We show that these corrections are small in the HERA region. | |
| dc.description | 30 pages, 8 figures, plain TeX with harvmac | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0109178 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0109178 | |
| dc.identifier | Nucl.Phys.B621:359-387,2002 | |
| dc.identifier | doi:10.1016/S0550-3213(01)00563-6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185153 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Factorization and Resummation of Small x Scaling Violations with Running Coupling | |
| dc.type | text |