Is {ital B}{r_arrow}{ital X}{sub {ital s}}{gamma} equal to {ital b}{r_arrow}{ital s}{gamma} ? Spectator contributions to rare inclusive {ital B} decays

Journal Article · Mon Apr 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.3664· OSTI ID:279833

Donoghue, J F; Petrov, A A ^[1]

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1. Department of Physics and Astronomy, University of Massachusetts, Amherst, Massachusetts 01003 (United States)

In {ital B}{r_arrow}{ital X}{sub {ital s}}{gamma}, there are perturbative QCD corrections at order {alpha}{sub {ital s}} not only to the single quark line process {ital b}{r_arrow}{ital s}{gamma} but also coming from a set of diagrams where the weak interaction vertex involves a gluon which interacts with the spectator quark in the {ital B} hadron. We discuss the impact of the full set of these diagrams. These can influence the decay rate and also the line shape of the photon spectrum as they favor a softer photon energy than does the pure spectator decay {ital b}{r_arrow}{ital s}{gamma}. A subset of these diagrams generates differences in the decay rates for charged and neutral {ital B}{close_quote}s, {ital B}{sup +}{r_arrow}{ital X}{sub {ital s}}{gamma} vs {ital B}{sup 0}{r_arrow}{ital X}{sub {ital s}}{gamma}, which can be searched for experimentally, although our calculation indicates that the effect will be hard to observe. Bound-state effects turn out to be required to give rise to spectator corrections to the decay rate at order {alpha}{sub {ital s}}. The resulting contribution to the total rate is rather small (of about 5{percent}), although the effect is somewhat larger on portions of the photon spectrum. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 279833
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
B QUARKS
GAMMA DECAY
GAMMA SPECTRA
GLUONS
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
S QUARKS
STRANGE MESONS