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Title: Λ b→pl⁻ν¯ l form factors from lattice QCD with static b quarks

We present a lattice QCD calculation of form factors for the decay Λ b→pμ⁻ν¯ μ, which is a promising channel for determining the Cabibbo-Kobayashi-Maskawa matrix element |V 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 b→pμ⁻ν¯ μ differential decay rate in the range 14 GeV²≤q²≤q² max, and obtain the integral ∫ max 14 GeV²[dΓ/dq²]dq²/|V ub|²=15.3±4.2 ps⁻¹. Combined with future experimental data, this will give a novel determination of |V ub| 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.
Authors:
; ; ;
Publication Date:
Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Volume: 88 Journal Issue: 1; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
OSTI Identifier:
1104294

Detmold, William, Lin, C.-J. David, Meinel, Stefan, and Wingate, Matthew. Λb→pl⁻ν¯l form factors from lattice QCD with static b quarks. United States: N. p., Web. doi:10.1103/PhysRevD.88.014512.
Detmold, William, Lin, C.-J. David, Meinel, Stefan, & Wingate, Matthew. Λb→pl⁻ν¯l form factors from lattice QCD with static b quarks. United States. doi:10.1103/PhysRevD.88.014512.
Detmold, William, Lin, C.-J. David, Meinel, Stefan, and Wingate, Matthew. 2013. "Λb→pl⁻ν¯l form factors from lattice QCD with static b quarks". United States. doi:10.1103/PhysRevD.88.014512.
@article{osti_1104294,
title = {Λb→pl⁻ν¯l form factors from lattice QCD with static b quarks},
author = {Detmold, William and Lin, C.-J. David and Meinel, Stefan and Wingate, Matthew},
abstractNote = {We present a lattice QCD calculation of form factors for the decay Λb→pμ⁻ν¯μ, which is a promising channel for determining the Cabibbo-Kobayashi-Maskawa matrix element |Vub| 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 Λb→pμ⁻ν¯μ differential decay rate in the range 14 GeV²≤q²≤q²max, and obtain the integral ∫q²max 14 GeV²[dΓ/dq²]dq²/|Vub|²=15.3±4.2 ps⁻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.},
doi = {10.1103/PhysRevD.88.014512},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 1,
volume = 88,
place = {United States},
year = {2013},
month = {7}
}