Heavy Quark Spectroscopy and Matrix Elements: A Lattice Study using the Static Approximation
| dc.creator | Ewing, A. K. | |
| dc.date | 1995-08-29 | |
| dc.date | 1996-05-28 | |
| dc.date.accessioned | 2026-07-07T11:47:13Z | |
| dc.date.available | 2026-07-07T11:47:13Z | |
| dc.description | We present results of a lattice analysis of the $B$ parameter, $B_B$, the decay constant $f_B$, and several mass splittings using the static approximation. Results were obtained for 60 quenched gauge configurations computed at $β=6.2$ on a lattice size of $24^3\times48$. Light quark propagators were calculated using the $O(a)$-improved Sheikholeslami-Wohlert action. We find $\Bbstat(m_b) = 0.69\er{3}{4} {\rm(stat)}\er{2}{1} {\rm(syst)}$, corresponding to $\Bbstat = 1.02\er{5}{6}\er{3}{2}$, and $\fbstat = 266\err{18}{20}\err{28}{27} \mev$, $f_{B_s}^2 B_{B_s}/f_B^2 B_B = 1.34\er{9}{8}\er{5}{3}$, where a variational fitting technique was used to extract $\fbstat$. For the mass splittings we obtain $M_{B_s}-M_{B_d} = 87\err{15}{12}\err{6}{12} \mev$, $M_{Λ_b}-M_{B_d} = 420\errr{100}{90}\err{30}{30} \mev$ and $M_{B^*}^2-M_B^2 = 0.281\err{15}{16}\err{40}{37} \gev^2$. We compare different smearing techniques intended to improve the signal/noise ratio. From a detailed assessment of systematic effects we conclude that the main systematic uncertainties are associated with the renormalisation constants relating a lattice matrix element to its continuum counterpart. The dependence of our findings on lattice artefacts is to be investigated in the future. | |
| dc.description | 40 pages, uuencoded compressed tar file, containing one LaTeX file and 14 postscript files (to be included with epsf). Minor change in the value of the B parameter. Contains corrected value for the B*-B mass splitting. Version accepted for publication in Phys. Rev. D | |
| dc.identifier | https://arxiv.org/abs/hep-lat/9508030 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/9508030 | |
| dc.identifier | Phys.Rev.D54:3526-3545,1996 | |
| dc.identifier | doi:10.1103/PhysRevD.54.3526 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202498 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Heavy Quark Spectroscopy and Matrix Elements: A Lattice Study using the Static Approximation | |
| dc.type | text |