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Standard model predictions for B→Kℓ+ℓ−with form factors from lattice QCD

By Chris Bouchard, G. Peter Lepage, Christopher Monahan, Heechang Na and Junko Shigemitsu

Abstract

We calculate, for the first time using unquenched lattice QCD form factors, the standard model differential branching fractions dℬ/dq2(B→Kℓ+ℓ−) for ℓ=e, μ, τ and compare with experimental measurements by Belle, BABAR, CDF, and LHCb. We report on ℬ(B→Kℓ+ℓ−) in q2 bins used by experiment and predict ℬ(B→Kτ+τ−)=(1.41±0.15)×10−7. We also calculate the ratio of branching fractions Rμe=1.00029(69) and predict Rτℓ=1.176(40), for ℓ=e, μ. Finally, we calculate the “flat term” in the angular distribution of the differential decay rate Fe,μ,τH in experimentally motivated q2 bins

Publisher: American Physical Society
Year: 2013
OAI identifier: oai:eprints.gla.ac.uk:121669
Provided by: Enlighten
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