Width difference in the {ital B}{sub {ital s}}-{ital {bar B}}{sub {ital s}} system

Journal Article · Tue Oct 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.4419· OSTI ID:389034

Beneke, M ^[1]; Buchalla, G; Dunietz, I ^[2]

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1. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)
2. 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, Journal Name: Physical Review, D Journal Issue: 7 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANTI-B NEUTRAL MESONS
B S MESONS
CORRECTIONS
EIGENSTATES
EIGENVALUES
KOBAYASHI-MASKAWA MATRIX
LIFETIME
MASS
MATRIX ELEMENTS
OPERATOR PRODUCT EXPANSION
WIDTH