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  4. Nonperturbative m[subscript X] cut effects in -->X[subscript s]l[superscript +]l[superscript -] observables

Nonperturbative m[subscript X] cut effects in -->X[subscript s]l[superscript +]l[superscript -] observables

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Author(s)
Lee, Keith S. M.
•
Tackmann, Frank
Alternative Title
Nonperturbative mX cut effects in B→Xsℓ+ℓ- observables
Date Issued
June 2009
Journal
Physical Review D
Publisher
American Physical Society
Citation
Lee, Keith S. M. and Frank J. Tackmann. "Nonperturbative m[subscript X] cut effects in -->X[subscript s]l[superscript +]l[superscript -] observables." Physical Review D 79.11 (2009): 114021. © 2009 The American Physical Society
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Final published version
Abstract
Recently, it was shown that in inclusive B→X[subscript s]ℓ[superscript +]ℓ[superscript -] decay, an angular decomposition provides three independent (q2 dependent) observables. A strategy was formulated to extract all measurable Wilson coefficients in B→X[subscript s]ℓ[superscript +]ℓ[superscript -] from a few simple integrals of these observables in the low q[superscript 2] region. The experimental measurements in the low q[superscript 2] region require a cut on the hadronic invariant mass, which introduces a dependence on nonperturbative b quark distribution functions. The associated hadronic uncertainties could potentially limit the sensitivity of these decays to new physics. We compute the nonperturbative corrections to all three observables at leading and subleading order in the power expansion in Λ[subscript QCD]/m[subscript b]. We find that the subleading power corrections give sizeable corrections, of order -5% to -10% depending on the observable and the precise value of the hadronic mass cut. They cause a shift of order -0.05  GeV[superscript 2] to -0.1   GeV[superscript 2] in the zero of the forward-backward asymmetry.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/52722
DOI of Published Version
http://dx.doi.org/10.1103/PhysRevD.79.114021
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