Λ[subscript b]→Λℓ[superscript +]ℓ[superscript -] form factors and differential branching fraction from lattice QCD
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Detmold-2013-form factors and differential branching fraction from lattice QCD.pdf
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Author(s) • • •
Detmold, William
Lin, C.-J. David
Meinel, Stefan
Wingate, Matthew
Date Issued
April 2013
Journal
Physical Review D
Publisher
American Physical Society
Citation
Detmold, William, C.-J. David Lin, Stefan Meinel, and Matthew Wingate. Λ_{b}→Λℓ^{+}ℓ^{-} Form Factors and Differential Branching Fraction from Lattice QCD. Physical Review D 87, no. 7 (April 2013). © 2013 American Physical Society
Version
Final published version
Abstract
We present the first lattice QCD determination of the Λ[subscript b→]Λ transition form factors that govern the rare baryonic decays Λ[subscript b→]Λℓ[superscript +]ℓ[superscript -] at leading order in heavy-quark effective theory. Our calculations are performed with 2+1 flavors of domain-wall fermions, at two lattice spacings and with pion masses down to 227 MeV. Three-point functions with a wide range of source-sink separations are used to extract the ground-state contributions. The form factors are extrapolated to the physical values of the light-quark masses and to the continuum limit. We use our results to calculate the differential branching fractions for Λ[subscript b→]Λℓ[superscript +]ℓ[superscript -] with ℓ=e, μ, τ within the standard model. We find agreement with a recent CDF measurement of the Λ[subscript b→]Λμ[superscript +]μ[superscript -] differential branching fraction.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.87.074502