Eradication of singularities in the next-to-leading order RG evolution for the ΔS = 1 effective Hamiltonian with 3 quark flavours
| dc.creator | Adams, David H. | |
| dc.creator | Lee, Weonjong | |
| dc.date | 2007-10-10 | |
| dc.date.accessioned | 2026-07-07T13:02:51Z | |
| dc.date.available | 2026-07-07T13:02:51Z | |
| dc.description | We consider the renormalization group evolution for the operators in the $ΔS=1$ effective Hamiltonian with 3 active quark flavors, which is needed in the numerical analysis of data sets for $ε'/ε$ calculated in lattice QCD. Singularities are present in the original solution of Buras et al. at next-to-leading order. We show how these can be eradicated through a method of analytic continuation to obtain the correct finite solution in this case. Furthermore, we trace the origin of the singularities to a breakdown of the approach of Buras et al. in the 3 flavour case, and show how it can be rectified so that singularitites are absent from the beginning. | |
| dc.description | 7 pages, presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg | |
| dc.identifier | https://arxiv.org/abs/0710.1926 | |
| dc.identifier | http://arxiv.org/abs/0710.1926 | |
| dc.identifier | PoSLAT2007:342,2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226592 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Eradication of singularities in the next-to-leading order RG evolution for the ΔS = 1 effective Hamiltonian with 3 quark flavours | |
| dc.type | text |