Hadron Spectra and Spectral Moments in the Decay B \to X_s \ell^+ \ell^- using HQET

Abstract

We compute the leading order (in alpha_s) perturbative QCD and power (1/m_b^2) corrections to the hadronic invariant mass and hadron energy spectra in the decay B \to X_s \ell^+ \ell^- in standard model using the heavy quark expansion technique (HQET). Results for the first two hadronic moments < S_H^n> and <E_H^n>, n=1,2, are presented here working out their sensitivity on the HQET parameters lambda_1 and \barΛ. Data from the forthcoming B facilities can be used to measure the short-distance contribution in B \to X_s \ell^+ \ell^- and determine the HQET parameters from the moments <S_H^n>. This can be combined with the analysis of semileptonic decays B \to X \ell ν_\ell to determine them precisely.

10 pages, 1 figure (require epsf.sty)

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• Corrections of Order ${\Lambda }_{QCD}^2/m_c^2$ to Inclusive Rare B Decays
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Cited by in corpus (7)

• B -> Xs l+ l- decays in supersymmetry
• B decay shape variables and the precision determination of |Vcb| and mb
• Probe R-parity Violating Supersymmetry Effects in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B_s\to {\ell }^{+}{\ell }^{-}$ Decays
• The rare decays $B_u^{+}\to {\pi }^{+}{\ell }^{+}{\ell }^{-}$, ${\rho }^{+}{\ell }^{+}{\ell }^{-}$ and $B_d^0\to {\ell }^{+}{\ell }^{-}$ in the R-parity violating supersymmetry
• The B -> X_d l^+ l^- decay in general two Higgs doublet model
• CP Violation in rare semileptonic B decays and supersymmetry
• Phenomenological Profiles of the Inclusive Hadron Spectra in the Decay $B\to X_s{\ell }^{+}{\ell }^{-}$