Matrix elements of four-fermion operators in the HQET

Abstract

The B-$\bar{B}$ mixing, B-meson lifetimes, the $B_s$-${\bar{B}}_s$ lifetime difference and SUSY FCNC effects in $\Delta B=2$ processes are very important measurable quantities in B-meson phenomenology whose theoretical predictions depend on unknown matrix elements of several four-fermion operators. We present preliminary results for the matrix elements of the relevant four-fermion operators computed on a sample of 600 lattices of size $24^3\times 40$ at $\beta =6.0$, using the SW--Clover action for light quarks with rotated light quark propagators and the lattice version of the HQET for heavy quarks. As a necessary ingredient of the calculation, we also present results for the next-to-leading order matching of the full theory to the lattice HQET (one- and two-loop anomalous dimensions, one-loop QCD-HQET matching coefficients and one-loop continuum-lattice HQET matching coefficients).

3 pages, 2 figures, talk given at Lattice 97, Edinburgh

References in corpus (5)

• A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model
• Spectator Effects in Inclusive Decays of Beauty Hadrons
• $B-\bar{B}$ Mixing in the HQET
• Renormalization of $\Delta B=2$ Transitions in the Static Limit Beyond Leading Logarithms
• Next-to-leading order renormalization of the $\Delta B=2$ operators in the static theory

Cited by in corpus (3)

• Mixing of B mesons and Decay Constants with the Non-Perturbatively Improved Action
• Quenched and first unquenched lattice HQET determination of the Bs-Meson width difference
• Width difference in the Bs system from lattice HQET