Perturbative corrections to curvature sum rules
| dc.creator | Dorsten, Matthew P. | |
| dc.date | 2003-10-02 | |
| dc.date | 2004-12-02 | |
| dc.date.accessioned | 2026-07-07T03:50:48Z | |
| dc.date.available | 2026-07-07T03:50:48Z | |
| dc.description | Two new sum rules were recently discovered by Le Yaouanc et al. by applying the operator product expansion to the nonforward matrix element of a time-ordered product of $b \to c$ currents in the heavy-quark limit of QCD. They lead to the constraints $σ^2 > 5ρ^2/4$ and $σ^2 > 3(ρ^2)^2/5 + 4ρ^2/5$ on the curvature of the $\bar{B} \to D^{(*)}$ Isgur-Wise function, both of which imply the absolute lower bound $σ^2 > 15/16$ when combined with the Uraltsev bound $ρ^2 > 3/4$ on the slope. This paper calculates order $α_s$ corrections to these bounds, increasing the accuracy of the resultant constraints on the physical form factors. The latter may have implications for the determination of $|V_{cb}|$ from exclusive semileptonic $B$ meson decays. | |
| dc.description | 19 pages, 4 figures; minor clarifications, additional figure | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0310025 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0310025 | |
| dc.identifier | Phys.Rev. D70 (2004) 096013 | |
| dc.identifier | doi:10.1103/PhysRevD.70.096013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/42903 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Perturbative corrections to curvature sum rules | |
| dc.type | text |