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arxiv 0808.2519 v2 pith:53QA54C5 submitted 2008-08-19 hep-lat hep-ph

The B -> D* l nu form factor at zero recoil from three-flavor lattice QCD: A model independent determination of |V_cb|

C. Bernard , C. DeTar , M. Di Pierro , A.X. El-Khadra , R.T. Evans , E.D. Freeland , E. Gamiz , Steven Gottlieb
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U.M. Heller J.E. Hetrick A.S. Kronfeld J. Laiho L. Levkova P.B. Mackenzie M. Okamoto J. Simone R. Sugar D. Toussaint R.S. Van de Water
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classification hep-lat hep-ph
keywords factorformlatticelightquarksactioncalculationchiral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the first lattice QCD calculation of the form factor for B-> D* l nu with three flavors of sea quarks. We use an improved staggered action for the light valence and sea quarks (the MILC configurations), and the Fermilab action for the heavy quarks. The form factor is computed at zero recoil using a new double ratio method that yields the form factor more directly than the previous Fermilab method. Other improvements over the previous calculation include the use of much lighter light quark masses, and the use of lattice (staggered) chiral perturbation theory in order to control the light quark discretization errors and chiral extrapolation. We obtain for the form factor, F_{B-> D*}(1)=0.921(13)(20), where the first error is statistical and the second is the sum of all systematic errors in quadrature. Applying a 0.7% electromagnetic correction and taking the latest PDG average for F_{B-> D*}(1)|V_cb| leads to |V_cb|=(38.7 +/- 0.9_exp +/- 1.0_theo) x 10^-3.

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  1. $|V_{cb}|$ determinations from $\bar{B} \to D^{(*)} \ell \bar\nu$ decays within the SM and beyond

    hep-ph 2026-06 unverdicted novelty 4.0

    Fits to B to D(*) l nu form factors with BSZ, BGL and HQET yield |V_cb| matching PDG average for BGL but smaller for HQET, while data still allows non-zero new physics contributions.