$B$ Meson Matrix Elements from Various Heavy Quark Effective Theories

TL;DR

This paper computes properties of B mesons, such as decay constants and form factors, using different heavy quark effective theories on the lattice, enhancing understanding of heavy-light meson dynamics.

Contribution

It compares various heavy quark effective theories for simulating bottom quarks and employs a novel smearing technique to improve lattice calculations.

Findings

Consistent results across different effective theories.

Improved accuracy with the Maximal Operator Smearing Technique.

Enhanced understanding of B meson properties.

Abstract

Various properties of heavy-light mesons are determined, including decay constants, the $B_{B}$-parameter, and the Isgur-Wise function. The heavy (bottom) quark is simulated with the static, NRQCD and/or (fixed-velocity) lattice-HQET effective theories, using optimally-smeared sources as produced by the ``Maximal Operator Smearing Technique''.