Non-perturbatively Determined Relativistic Heavy Quark Action
| dc.creator | Lin, Huey-Wen | |
| dc.creator | Christ, Norman | |
| dc.date | 2006-08-09 | |
| dc.date.accessioned | 2026-07-07T11:04:37Z | |
| dc.date.available | 2026-07-07T11:04:37Z | |
| dc.description | We present a method to non-perturbatively determine the parameters of the on-shell, $O(a)$-improved relativistic heavy quark action. These three parameters, $m_0$, $ζ$, and $c_B=c_E$ are obtained by matching finite-volume, heavy-heavy and heavy-light meson masses to the exact relativistic spectrum through a finite-volume, step-scaling recursion procedure. We demonstrate that accuracy on the level of a few percent can be achieved by carrying out this matching on a pair of lattices with equal physical spatial volumes but quite different lattice spacings. A fine lattice with inverse lattice spacing $1/a=5.4$ GeV and $24^3 \times 48$ sites and a coarse, $1/a=3.6$ GeV, $16^3 \times 32$ lattice are used together with a heavy quark mass $m$ approximately that of the charm quark. This approach is unable to determine the initially expected, four heavy-quark parameters: $m_0$, $ζ$, $c_B$ and $c_E$. This apparent non-uniqueness of these four parameters motivated the analytic result, presented in a companion paper, that this set is redundant and that the restriction $c_E=c_B$ is permitted through order $a|\vec p|$ and to all orders in $m a$ where $\vec p$ is the heavy quark's spatial momenta. | |
| dc.description | 46 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0608005 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0608005 | |
| dc.identifier | Phys.Rev.D76:074506,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.76.074506 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/188955 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Non-perturbatively Determined Relativistic Heavy Quark Action | |
| dc.type | text |