Perturbative corrections to curvature sum rules
| Autor: | M. P. Dorsten |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2003 |
| Předmět: |
Physics
Quantum chromodynamics Nuclear and High Energy Physics Particle physics High Energy Physics::Phenomenology Order (ring theory) Sigma FOS: Physical sciences Upper and lower bounds Particle decay High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) Product (mathematics) B meson High Energy Physics::Experiment Operator product expansion |
| Popis: | 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 $\sigma^2 > 5\rho^2/4$ and $\sigma^2 > 3(\rho^2)^2/5 + 4\rho^2/5$ on the curvature of the $\bar{B} \to D^{(*)}$ Isgur-Wise function, both of which imply the absolute lower bound $\sigma^2 > 15/16$ when combined with the Uraltsev bound $\rho^2 > 3/4$ on the slope. This paper calculates order $\alpha_s$ 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. Comment: 19 pages, 4 figures; minor clarifications, additional figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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