Abstract
We present a high statistics study of the leptonic decay constant f{sub 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{sub 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 {yields} 0. The extrapolations needed to reach the continuum quantity f{sub B} introduce large errors and lead to the value f{sub 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{sub B}. (orig.)
Alexandrou, C;
[1]
Guesken, S;
[2]
Schilling, K;
[2]
Siegert, G;
[2]
Jegerlehner, F;
[1]
Sommer, R
[3]
- Paul Scherrer Inst. (PSI), Villigen (Switzerland)
- Wuppertal Univ. (Gesamthochschule) (Germany). Fachbereich 8 - Naturwissenschaften 1 - Physik
- Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany). Gruppe Theorie
Citation Formats
Alexandrou, C, Guesken, S, Schilling, K, Siegert, G, Jegerlehner, F, and Sommer, R.
The leptonic decay constants of Qq mesons and the lattice resolution.
Germany: N. p.,
1993.
Web.
Alexandrou, C, Guesken, S, Schilling, K, Siegert, G, Jegerlehner, F, & Sommer, R.
The leptonic decay constants of Qq mesons and the lattice resolution.
Germany.
Alexandrou, C, Guesken, S, Schilling, K, Siegert, G, Jegerlehner, F, and Sommer, R.
1993.
"The leptonic decay constants of Qq mesons and the lattice resolution."
Germany.
@misc{etde_10153426,
title = {The leptonic decay constants of Qq mesons and the lattice resolution}
author = {Alexandrou, C, Guesken, S, Schilling, K, Siegert, G, Jegerlehner, F, and Sommer, R}
abstractNote = {We present a high statistics study of the leptonic decay constant f{sub 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{sub 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 {yields} 0. The extrapolations needed to reach the continuum quantity f{sub B} introduce large errors and lead to the value f{sub 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{sub B}. (orig.)}
place = {Germany}
year = {1993}
month = {Dec}
}
title = {The leptonic decay constants of Qq mesons and the lattice resolution}
author = {Alexandrou, C, Guesken, S, Schilling, K, Siegert, G, Jegerlehner, F, and Sommer, R}
abstractNote = {We present a high statistics study of the leptonic decay constant f{sub 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{sub 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 {yields} 0. The extrapolations needed to reach the continuum quantity f{sub B} introduce large errors and lead to the value f{sub 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{sub B}. (orig.)}
place = {Germany}
year = {1993}
month = {Dec}
}