Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-12-13
Phys.Rev. D62 (2000) 034504
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, 6 figures, uses REVTeX, corrected typos, conservative systematic error
Scientific paper
10.1103/PhysRevD.62.034504
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.
Hashimoto Shigehira
Ishikawa Kei-Ichi
Onogi Tetsuya
Yamada Namiha
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