Semileptonic {ital B} and {Lambda}{sub {ital b}} decays and local duality in QCD

Journal Article · Thu Aug 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.2081· OSTI ID:286418

Boyd, C G; Grinstein, B; Manohar, A V ^[1]

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1. Department of Physics 0319, University of California at San Diego, 9500 Gilman Drive, La Jolla, California 92093-0319 (United States)

The inclusive and exclusive semileptonic decay distributions for {ital b}{r_arrow}{ital c} decay are computed in the Shifman-Voloshin limit. The inclusive decay distributions (computed using an operator product expansion) depend on quark masses, and the exclusive decay distributions depend on hadron masses. Nevertheless, we show explicitly how the first two terms in the 1/{ital m} expansion match between the inclusive and exclusive decays. Agreement between the inclusive and exclusive decay rates requires a minimum smearing region of size {Lambda}{sub QCD} before local duality holds in QCD. The {alpha}{sub {ital s}} corrections to the inclusive and exclusive decay rates are also shown to agree to order (ln {ital m})/{ital m}{sup 2}. The {alpha}{sub {ital s}}/{ital m}{sup 2} corrections are used to obtain the {alpha}{sub {ital s}} correction to Bjorken{close_quote}s inequality on the slope of the Isgur-Wise function. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: University of California
• DOE Contract Number: FG03-90ER40546
• OSTI ID: 286418
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 3 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
CORRECTIONS
DUALITY
EXCLUSIVE INTERACTIONS
INCLUSIVE INTERACTIONS
LAMBDA B NEUTRAL BARYONS
LOCALITY
MASS
OPERATOR PRODUCT EXPANSION
QUANTUM CHROMODYNAMICS
QUARKS
SEMILEPTONIC DECAY