We use a method recently suggested for evaluating the slope of the Isgur-Wise function, at the zero-recoil point, on the lattice. The computations are performed in the quenched approximation to lattice QCD, on a 243 × 48 lattice at β = 6.2, using an 0(a)-improved action for the fermions. We have found unexpectedly large finite-volume effects in such a calculation. These volume corrections turned out to be purely geometrical and independent of the dynamics of the system. After the study of these effects on a smaller volume and for different quark masses, we give approximate expressions that account for them. Using these approximations we find ξ′(1) = -1.7 -2+2 and ξ′(1) = -1.4 -1+2 for the slope of the Isgur-Wise function, for two mesons composed of a heavy quark slightly heavier and lighter, respectively, than the charm quark, and in both cases, a light antiquark whose mass is about that of the strange quark. © 1995.

Geometrical volume effects in the computation of the slope of the Isgur-Wise function / L., Lellouch; Martinelli, Guido; Ukqcd, Collaboration. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 444:1-2(1995), pp. 401-424. [10.1016/0550-3213(95)00180-Z]

Geometrical volume effects in the computation of the slope of the Isgur-Wise function

Martinelli, Guido;
1995-01-01

Abstract

We use a method recently suggested for evaluating the slope of the Isgur-Wise function, at the zero-recoil point, on the lattice. The computations are performed in the quenched approximation to lattice QCD, on a 243 × 48 lattice at β = 6.2, using an 0(a)-improved action for the fermions. We have found unexpectedly large finite-volume effects in such a calculation. These volume corrections turned out to be purely geometrical and independent of the dynamics of the system. After the study of these effects on a smaller volume and for different quark masses, we give approximate expressions that account for them. Using these approximations we find ξ′(1) = -1.7 -2+2 and ξ′(1) = -1.4 -1+2 for the slope of the Isgur-Wise function, for two mesons composed of a heavy quark slightly heavier and lighter, respectively, than the charm quark, and in both cases, a light antiquark whose mass is about that of the strange quark. © 1995.
1995
444
1-2
401
424
https://arxiv.org/abs/hep-lat/9410013
L., Lellouch; Martinelli, Guido; Ukqcd, Collaboration
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32384
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