The Leptonic Decay Constants of $\bar{Q}q$ Mesons and the Lattice Resolution

Details The Leptonic Decay Constants of $\bar{Q}q$ Mesons and the Lattice Resolution The Leptonic Decay Constants of $\bar{Q}q$ Mesons and the Lattice Resolution

1993-12-13

arxiv.org/abs/hep-lat/9312051v1

Z.Phys. C62 (1994) 659-668

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages Latex + 5 tables + 8 postscript figures, unix shell archive, DESY preprint DESY 93-179

Scientific paper

10.1007/BF01574169

We present a high statistics study of the leptonic decay constant $f_P$ 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 $\beta$ between 5.74 and 6.26 we observe a sizeable $a$ dependence of $f_P$ when one uses the quark field normalization that was suggested by Kronfeld and Mackenzie, compared with the weaker dependence observed for the standard relativistic norm. The two schemes come into agreement when one extrapolates to $a \rightarrow 0$. The extrapolations needed to reach the continuum quantity $f_B$ introduce large errors and lead to the value $f_B=0.18(5)$~GeV in the quenched approximation. This suggests that much more effort will be needed to obtain an accurate lattice prediction for $f_B$.

Affiliated with

Also associated with

No associations

Rating

The Leptonic Decay Constants of $\bar{Q}q$ Mesons and the Lattice Resolution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Leptonic Decay Constants of $\bar{Q}q$ Mesons and the Lattice Resolution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Leptonic Decay Constants of $\bar{Q}q$ Mesons and the Lattice Resolution will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-284015