### Abstract

We present the first lattice QCD calculation of the form factor for B̄→D*ℓν̄ 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, FB→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 FB→D*(1)|Vcb| leads to |Vcb|=(38.7±0.9 ±1.0theo) ×10-3.

Original language | English (US) |
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Article number | 014506 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 79 |

Issue number | 1 |

DOIs | |

State | Published - Jan 5 2009 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*79*(1), [014506]. https://doi.org/10.1103/PhysRevD.79.014506

**B̄→D*ℓν̄ form factor at zero recoil from three-flavor lattice QCD : A model independent determination of |Vcb|.** / Bernard, C.; DeTar, C.; Di Pierro, M.; El-Khadra, A. X.; Evans, R. T.; Freeland, E. D.; Gamiz, E.; Gottlieb, Steven; Heller, U. M.; Hetrick, J. E.; Kronfeld, A. S.; Laiho, J.; Levkova, L.; MacKenzie, P. B.; Okamoto, M.; Simone, J.; Sugar, R.; Toussaint, William D; Van De Water, R. S.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 79, no. 1, 014506. https://doi.org/10.1103/PhysRevD.79.014506

}

TY - JOUR

T1 - B̄→D*ℓν̄ form factor at zero recoil from three-flavor lattice QCD

T2 - A model independent determination of |Vcb|

AU - Bernard, C.

AU - DeTar, C.

AU - Di Pierro, M.

AU - El-Khadra, A. X.

AU - Evans, R. T.

AU - Freeland, E. D.

AU - Gamiz, E.

AU - Gottlieb, Steven

AU - Heller, U. M.

AU - Hetrick, J. E.

AU - Kronfeld, A. S.

AU - Laiho, J.

AU - Levkova, L.

AU - MacKenzie, P. B.

AU - Okamoto, M.

AU - Simone, J.

AU - Sugar, R.

AU - Toussaint, William D

AU - Van De Water, R. S.

PY - 2009/1/5

Y1 - 2009/1/5

N2 - We present the first lattice QCD calculation of the form factor for B̄→D*ℓν̄ 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, FB→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 FB→D*(1)|Vcb| leads to |Vcb|=(38.7±0.9 ±1.0theo) ×10-3.

AB - We present the first lattice QCD calculation of the form factor for B̄→D*ℓν̄ 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, FB→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 FB→D*(1)|Vcb| leads to |Vcb|=(38.7±0.9 ±1.0theo) ×10-3.

UR - http://www.scopus.com/inward/record.url?scp=60449106602&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=60449106602&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.79.014506

DO - 10.1103/PhysRevD.79.014506

M3 - Article

AN - SCOPUS:60449106602

VL - 79

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 1

M1 - 014506

ER -