Λ[subscript b]→Λℓ[superscript +]ℓ[superscript -] form factors and differential branching fraction from lattice QCD

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 fermio...

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Bibliographic Details
Main Authors: Detmold, William, Lin, C.-J. David, Meinel, Stefan, Wingate, Matthew
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:en_US
Published: American Physical Society 2013
Online Access:http://hdl.handle.net/1721.1/79595
https://orcid.org/0000-0002-0400-8363
Description
Summary: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.