Bound on the curvature of the Isgur-Wise function of the baryon semileptonic decay Lambda_b -> Lambda_c + l + nu

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dc.creatorYaouanc, A. Le
dc.creatorOliver, L.
dc.creatorRaynal, J. -C.
dc.date2008-08-21
dc.date2008-12-03
dc.date.accessioned2026-07-07T12:46:28Z
dc.date.available2026-07-07T12:46:28Z
dc.descriptionIn the heavy quark limit of QCD, using the Operator Product Expansion, the formalism of Falk for hadrons or arbitrary spin, and the non-forward amplitude, as proposed by Uraltsev, we formulate sum rules involving the Isgur-Wise function $ξ_Λ (w)$ of the baryon transition $Λ_b \to Λ_c \ell \overlineν_{\ell}$, where the light cloud has $j^P=0^+$ for both initial and final baryons. We recover the lower bound for the slope $ρ_Λ^2 = - ξ'_Λ(1) \geq 0$ obtained by Isgur et al., and we generalize it by demonstrating that the IW function $ξ_Λ (w)$ is an alternate series in powers of $(w-1)$, i.e. $(-1)^n ξ_Λ^{(n)} (1) \geq 0$. Moreover, exploiting systematically the sum rules, we get an improved lower bound for the curvature in terms of the slope, $σ_Λ^2 = ξ"_Λ(1) \geq {3 \over 5} [ρ_Λ^2 + (ρ_Λ^2)^2]$. This bound constrains the shape of the Isgur-Wise function and it will be compelling in the analysis of future precise data on the differential rate of the baryon semileptonic decay $Λ_b \to Λ_c \ell \overlineν_{\ell}$, that has a large measured branching ratio, of about 5%.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0808.2983
dc.identifierhttp://arxiv.org/abs/0808.2983
dc.identifierPhys.Rev.D79:014023,2009
dc.identifierdoi:10.1103/PhysRevD.79.014023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221393
dc.subjectHigh Energy Physics - Phenomenology
dc.titleBound on the curvature of the Isgur-Wise function of the baryon semileptonic decay Lambda_b -> Lambda_c + l + nu
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