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The leptonic decay constants of\(\bar Qq\) mesons and the lattice resolution

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Zeitschrift für Physik C Particles and Fields

Abstract

We present a high statistics study of the leptonic decay constantf P of heavy pseudoscalar mesons using propagating heavy Wilson quarks within the quenched approximation, on lattices covering sizes from about 0.7 fm to 2 fm. Varying β between 5.74 and 6.26 we observe a sizeablea dependence off P when one uses the quark field normalization that was suggested by Kronfeld and Mackenzie, compared with the weaker depence observed for the standard relativistic norm. The two schemes come into agreement when one extrapolates toa→0. The extrapolations needed to reach the continuum quantityf B introduce large errors and lead to the valuef B =0.18(5) GeV in the quenched approximation. This suggests that much more effort will be needed to obtain an accurate lattice prediction forf B .

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work supported in part by DFG grant Schi 257/3-1

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Alexandrou, C., Güsken, S., Jegerlehner, F. et al. The leptonic decay constants of\(\bar Qq\) mesons and the lattice resolution. Z. Phys. C - Particles and Fields 62, 659–668 (1994). https://doi.org/10.1007/BF01574169

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