Width difference in the {ital B}{sub {ital s}}-{ital {bar B}}{sub {ital s}} system
- Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)
- Theoretical Physics Department, Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
We use the heavy quark expansion to investigate the width difference {Delta}{Gamma}{sub {ital B}{sub {ital s}}} between the {ital B}{sub {ital s}} mass eigenstates. The corrections of {ital O}({Lambda}{sub QCD}/{ital m}{sub {ital b}}) and {ital O}({ital m}{sub {ital s}}/{ital m}{sub {ital b}}) to the leading-order expression in the operator product expansion are derived and estimated to yield a sizable reduction of the leading result for {Delta}{Gamma}{sub {ital B}{sub {ital s}}} by typically 30{percent}. For completeness we also quantify small effects due to penguin operators and CKM-suppressed contributions. Based on our results we discuss the prediction for ({Delta}{Gamma}/{Gamma}){sub {ital B}{sub {ital s}}} with particular emphasis on theoretical uncertainties. We find ({Delta}{Gamma}/{Gamma}){sub {ital B}{sub {ital s}}}=0.16{sub {minus}0.09}{sup +0.11}, where the large error is dominated by the uncertainty in hadronic matrix elements. An accuracy of about 10{percent} in ({Delta}{Gamma}/{Gamma}){sub {ital B}{sub {ital s}}} should be within reach, assuming continuing progress in lattice calculations. In addition, we address phenomenological issues and implications of a {Delta}{Gamma}{sub {ital B}{sub {ital s}}} measurement for constraints on {Delta}{ital M}{sub {ital B}{sub {ital s}}} and CKM parameters. We further consider in some detail the lifetime ratio {tau}({ital B}{sub {ital s}})/{tau}({ital B}{sub {ital d}}) and estimate that, most likely, {vert_bar}{tau}({ital B}{sub {ital s}})/{tau}({ital B}{sub {ital d}}){minus}1{vert_bar}{lt}1{percent}. {copyright} {ital 1996 The American Physical Society.}
- Research Organization:
- Fermi National Accelerator Laboratory
- DOE Contract Number:
- AC02-76CH03000; AC03-76SF00515
- OSTI ID:
- 389034
- Journal Information:
- Physical Review, D, Vol. 54, Issue 7; Other Information: PBD: Oct 1996
- Country of Publication:
- United States
- Language:
- English
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