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Using a known result by Falk et al. for the 1/m_b^2 correction to thedilepton invariant mass spectrum in the decay B \rightarrow X_s \mu^+ \mu^-, wecalculate the 1/m_b^2 correction to the left-right muon polarization asymmetryin this decay. Employing an up-to-date range of values for the non-perturbativeparameter \lambda_1, we find that the correction is much smaller than it shouldhave been expected from the previous work by Falk et al.Comment: 8 pages, 2 figures included. Uses epsf.sty and rotate.sty. To appear  in Physical Review D. The complete postscript file is also available from URL  ftp://feynman.t30.physik.tu-muenchen.de/pub/preprints/ tum_t31_98_96.ps.g

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math>corrections to the left-right lepton polarization asymmetry in the decay<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mrow><mml:msub><mml:mrow><…

1/mb2corrections to the left-right lepton polarization asymmetry in the decayB→<…