A High Statistics Lattice Calculation of $f^{static}_B$ at $β=6.2$ Using the Clover Action

C. R. Allton; M. Crisafulli; V. Lubicz; G. Salina; G. Martinelli; A. Vladikas; A. Bartoloni; C. Battista; S. Cabasino; N. Cabibbo; F. Marzano; P. S. Paolucci; J. Pech; F. Rapuano; R. Sarno; G. M. Todesco; M. Torelli; W. Tross; P. Vicini; The APE Collaboration

doi:10.1016/0370-2693(94)91325-0

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arXiv · hep-ph/9402343

A High Statistics Lattice Calculation of $f^{static}_B$ at $β=6.2$ Using the Clover Action

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Abstract

We present a calculation of $f_B$ in the static limit, obtained by numerical simulation of quenched QCD, at $β=6.2$ on a $18^3 \times 64$ lattice, using the SW-Clover quark action. The decay constant has been extracted by studying heavy(static)-light correlation functions of different smeared operators, on a sample of 220 gauge field configurations. We have obtained $f_B^{static}=(290 \pm 15 \pm 45)$ MeV, where the first error comes from the uncertainty in the determination of the matrix element and the second comes from the uncertainty in the lattice spacing. We also obtain $M_{B_s}-M_{B_d}= (70 \pm 10)$ MeV and $f^{stat}_{B_s}/f^{stat}_{B_d}=1.11(3)$. A comparison of our results with other calculations of the same quantity is made.

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C. R. Allton, M. Crisafulli, V. Lubicz, G. Salina, G. Martinelli, A. Vladikas, A. Bartoloni, C. Battista, S. Cabasino, N. Cabibbo, F. Marzano, P. S. Paolucci, J. Pech, F. Rapuano, R. Sarno, G. M. Todesco, M. Torelli, W. Tross, P. Vicini, The APE Collaboration. 1994-02-23. A High Statistics Lattice Calculation of $f^{static}_B$ at $β=6.2$ Using the Clover Action. https://doi.org/10.1016/0370-2693(94)91325-0

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