Semileptonic form factor ratio Bs → Ds/B → D and its application to BR(B0 s → µ+µ)

Fermilab Lattice and MILC Collaborations

Research output: Contribution to journalConference article

Abstract

We present a (2+1)-flavor lattice QCD calculation of the form factor ratio between the semileptonic decays B¯0 s → D+ s lν¯ and B¯0 → D+lν¯. This ratio is an important theoretical input to the hadronic determination of the Bmeson fragmentation fraction ratio fs/fd which enters in the measurement of BR(B0 s → µ+µ). Small lattice spacings and high statistics enable us to simulate the decays with a dynamic final D meson of small momentum and reliably extract the hadronic matrix elements at nonzero recoil. We report our preliminary result for the form factor ratio at the corresponding momentum transfer of the two decays f0 (s)(Mπ 2)/f0 (d)(MK 2 ).

Original languageEnglish (US)
JournalProceedings of Science
Volume139
StatePublished - Jan 1 2011
Externally publishedYes
Event29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States
Duration: Jul 10 2011Jul 16 2011

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ASJC Scopus subject areas

  • General

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