Λ[subscript b]→pℓ[superscript -]ν̅ [subscript ℓ] form factors from lattice QCD with static b quarks
Name
Detmold_form-factors-from-lattice.pdf
Size
1.03 MB
Format
Adobe PDF
Checksum (MD5)
292704f7b9eccc8b1dc75ac250729bc4
Author(s)
Detmold, William
Lin, C.-J. David
Meinel, Stefan
Wingate, Matthew
Date Issued
July 2013
Journal
Physical Review D
Publisher
American Physical Society
Citation
Detmold, William, C.-J. David Lin, Stefan Meinel, and Matthew Wingate. “Λ_{b}→pℓ^{-}ν[over ¯]_{ℓ} form factors from lattice QCD with static b quarks.” Physical Review D 88, no. 1 (July 2013). © 2013 American Physical Society
Version
Final published version
Abstract
We present a lattice QCD calculation of form factors for the decay Λ[subscript b]→pμ[superscript -]ν̅[subscript μ], which is a promising channel for determining the Cabibbo-Kobayashi-Maskawa matrix element |V[subscript ub]| at the Large Hadron Collider. In this initial study we work in the limit of static b quarks, where the number of independent form factors reduces to two. We use dynamical domain-wall fermions for the light quarks, and perform the calculation at two different lattice spacings and at multiple values of the light-quark masses in a single large volume. Using our form factor results, we calculate the Λ[subscript b]→pμ[superscript -]ν̅[subscript μ] differential decay rate in the range 14 GeV[superscript 2]≤q[superscript 2]≤q[2 over max], and obtain the integral ∫[subscript 14 GeV]2[superscript qmax2][dΓ/dq[superscript 2]]dq[superscript 2]/|V[subscript ub]|[superscript 2]=15.3±4.2 ps[superscript -1]. Combined with future experimental data, this will give a novel determination of |Vub| with about 15% theoretical uncertainty. The uncertainty is dominated by the use of the static approximation for the b quark, and can be reduced further by performing the lattice calculation with a more sophisticated heavy-quark action.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevD.88.014512
