Search arXiv⌕ Search

arXiv · hep-lat/9211048

Quenched Lattice Results for $f_B$ and $f_D$

Abstract

We have computed the decay constants for the $B$ and $D$ mesons, using quenched lattices at $β=6.3$, by interpolating between the static approximation of Eichten and the conventional (``heavy'' Wilson fermion) method. A more careful treatment of the static result using better sources with longer time-displacements and a modification to the Wilson quark normalization to correct approximately for lattice effects in the large-$am$ regime have led to the elimination of the large discrepancy between the two methods which had been previously observed. We report final results, with estimates of various systematic errors.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Claude Bernard, James Labrenz, Amarjit Soni. 1992-11-18. Quenched Lattice Results for $f_B$ and $f_D$. https://doi.org/10.1016/0920-5632(93)90251-z

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Subtraction method for disconnected diagrams in full QCD

Disconnected diagrams remain a major challenge for precision lattice QCD calculations because of their large statistical fluctuations. We investigate a subtraction method based on a domain decomposition of the Dirac operator, yielding a biased but substantially less noisy estimator. Applying the method to charmonium disconnected correlators computed using distillation, we achieve a variance reduction of about three orders of magnitude at only twice the computational cost, providing a practical alternative to completely neglecting disconnected contributions.

hep-lat↗

Progress on $Sp(4)$ lattice theories with Grid: Möbius domain wall fermions and continuum extrapolations

We present preliminary results obtained in the first extensive study of the Möbius domain wall fermion (MDWF) lattice formulation of the four-dimensional Sp(4) gauge theory coupled to two dynamical fermions transforming in the fundamental representation. This theory is important for extensions of the Standard Model, as it provides the microscopic origin for both composite Higgs and dark matter models based on the SU(4)/Sp(4) coset. We scan the space of bare lattice parameters, including those entering the MDWF, and monitor spurious effects, such as the residual mass. We identify optimised regions of parameter space in which lattice artefacts affecting the global symmetries of the theory are suppressed. We then perform preliminary measurements of the lightest pseudoscalar and vector meson masses, together with the pseudoscalar decay constant. We demonstrate the potential of the MDWF formulation to enable continuum-limit extrapolations with reduced lattice discretisation effects.

hep-lat↗

Boundary Condition dependent Universality Classes on a Hyperbolic Lattice

We study the ferromagnetic Ising model on finite hyperbolic tessellations of Euclidean AdS$_2$ with open and wired boundary conditions. Because a finite fraction of spins remains at the boundary as the lattice grows, these conditions select distinct thermodynamic behaviours. In the $\{5,4\}$ tessellation, Monte-Carlo simulations using efficient worm algorithms on open boundaries (OBC) yield a transition near $β_c J=0.632(3)$, with susceptibility data collapsing under scaling by the total number of spins $N$. The fitted finite-size exponents, $1/\barν \simeq 0.162$ and $γ/\barν \simeq 0.743$, differ substantially from the mean-field volume scaling. Wired boundaries (WBC), which correlate boundary spins, instead show a transition around $β_c J=0.348(4)$ to an ordered phase consistent with the mean-field exponents. While the mean-field criticality with WBC is consistent with previous studies and with the suppression of independent boundary fluctuations, the OBC exponents hint at the presence of a new universality class. Results from other tessellations support the robustness of the observed scaling with OBC. We discuss a possible route to interpolate between the different boundary conditions. Our findings show that boundary dynamics must be specified when characterizing critical behaviour on hyperbolic lattices.

hep-lat↗