Current progress on the semileptonic form factors for B̅→ D^∗ℓν̅ decay using the Oktay-Kronfeld action

arxiv(2024)

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摘要
We present recent progress in calculating the semileptonic form factors h_A_1(w) for the B̅→ D^∗ℓν̅ decays. We use the Oktay-Kronfeld (OK) action for the charm and bottom valence quarks and the HISQ action for light quarks. We adopt the Newton method combined with the scanning method to find a good initial guess for the χ^2 minimizer in the fitting of the 2pt correlation functions. The main advantage is that the Newton method lets us to consume all the time slices allowed by the physical positivity. We report the first, reliable, but preliminary results for h_A_1(w)/ρ_A_1 at zero recoil (w=1). Here we use a MILC HISQ ensemble (a = 0.12 fm, M_π = 220 MeV, and N_f = 2 + 1 + 1 flavors).
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