Λb → Λℓ+ℓ- form factors, differential branching fraction, and angular observables from lattice QCD with relativistic b quarks

William Detmold, Stefan Meinel

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Abstract

Using (2+1)-flavor lattice QCD, we compute the 10 form factors describing the Λb→Λ matrix elements of the b→s vector, axial vector, and tensor currents. The calculation is based on gauge field ensembles generated by the RBC and UKQCD Collaborations with a domain-wall action for the u, d, and s quarks and the Iwasaki gauge action. The b quark is implemented using an anisotropic clover action, tuned nonperturbatively to the physical point, and the currents are renormalized with a mostly nonperturbative method. We perform simultaneous chiral, continuum, and kinematic extrapolations of the form factors through modified z expansions. Using our form factor results, we obtain precise predictions for the Λb→Λ(→p+π-)μ+μ- differential branching fraction and angular observables in the Standard Model.

Original languageEnglish (US)
Article number074501
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume93
Issue number7
DOIs
StatePublished - Apr 1 2016

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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