Width difference in the $B_s$-${\bar{B}}_s$ system with lattice NRQCD

Abstract

We compute the matrix element of the four-quark operator $\Op_S$ = $\bar{b}(1-{\gamma }_5)s\bar{b}(1-{\gamma }_5)s$ in the $B_s-{\bar{B}}_s$ mixing on the lattice using NRQCD, which gives a leading contribution in the calculation of the width difference $\Delta {\Gamma }_s$ in the $1/m_b$ expansion. Using the next-to-leading formula of Beneke \textit{et al.}, we obtain $(\Delta \Gamma /\Gamma {)}_s$ = 0.151(37)(36)(17), where the the first error reflects the uncertainty of $f_{B_s}$ = 245(30) MeV, the second error comes from our calculation of the matrix element of $\Op_S$, and the third represents unknown $1/m_b$ correction.

17 pages, 6 figures, uses REVTeX, corrected typos, conservative systematic error

References in corpus (8)

• Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ Mesons
• A Lattice Study of Spectator Effects in Inclusive Decays of B-Mesons
• Calculation of the continuum--lattice HQET matching for the complete basis of four--fermion operators: reanalysis of the $B^0$-${\bar{B}}^0$ mixing
• Fully Supersymmetric CP Violation in K and B Systems
• B meson leptonic decay constant with quenched lattice NRQCD
• Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks
• $O(a{\alpha }_s)$ matching coefficients for the $\Delta B$=2 operators in the lattice static theory
• A lattice NRQCD calculation of the $B^0-{\bar{B}}^0$ mixing parameter B_B

Cited by in corpus (5)

• Lifetime Differences in Heavy Mesons With Time Independent Measurements
• Renormalization of the ΔB=2 four-quark operators in lattice NRQCD
• Heavy Quarks on the Lattice
• $B^0-{\bar{B}}^0$ mixing in quenched lattice QCD
• Using Imprecise Tags of CP Eigenstates in B(s) and the Determination of the CKM Phase gamma