Quenched lattice calculation of the vector channel B ---> D* l nu decay rate - INSPIRE

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Quenched lattice calculation of the vector channel B ---> D* l nu decay rate

G.M. de Divitiis
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
R. Petronzio
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
N. Tantalo
(
- INFN, Rome2 and
- Enrico Fermi Ctr., Rome
)

Jul, 2008

11 pages

Published in:

Nucl.Phys.B 807 (2009) 373-395

e-Print:

0807.2944 [hep-lat]

DOI:

10.1016/j.nuclphysb.2008.09.013

View in:

ADS Abstract Service

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Abstract: (Elsevier)

We calculate, in the continuum limit of quenched lattice QCD, the form factor that enters the decay rate of the semileptonic decay B → D ⋆ ℓ ν . By using the step scaling method (SSM), previously introduced to handle two scale problems in lattice QCD, and by adopting flavor twisted boundary conditions we extract F B → D ⋆ ( w ) at finite momentum transfer ( w ⩾ 1 ) and at the physical values of the heavy quark masses. Our results can be used in order to extract the CKM matrix element V c b by the experimental decay rate without model dependent extrapolations. The value of V c b agrees with the one obtained from the B → D ℓ ν channel and makes us confident that the quenched approximation well applies to these transitions.

approximation: quenching
quantum chromodynamics
lattice field theory
B: decay rate
boundary condition: twist
B: semileptonic decay
form factor: decay
CKM matrix
continuum limit
scaling: finite size

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