CP violation in inclusive and exclusive charmless B decays

Journal Article · Wed May 01 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.2909· OSTI ID:5537940

Gerard, J ^[1]; Hou, W ^[2]

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1. Institut de Physique Theorique, Universite Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium (BE)
2. Paul Scherrer Institute, CH-5232 Villigen PSI, (Switzerland)

Absorptive parts in penguin amplitudes lead to {ital CP}-violating partial rate asymmetries in {ital B}-meson decays. A careful study of the inclusive process reveals a subtlety in the implementation of this mechanism. Because of (1) the smallness of {ital V}{sub {ital u}{ital b}}/{ital V}{sub {ital c}{ital b}}, (2) the fact that {alpha}{sub {ital s}}({ital m}{sub {ital b}}) is not too small, and (3) the kinematic suppression of {ital c{bar c}} absorptive contribution, {ital O}({alpha}{sub {ital s}}{sup 2}) effects have to be kept consistently. We find a strong correlation between the {ital CP} rate asymmetries of the {ital b}{r arrow}{ital su{bar u}} mode and the purely loop-induced {ital b}{r arrow}{ital sd{bar d}} and {ital ss{bar s}} modes, which is a consequence of the constraints of {ital CPT} invariance. The semi-inclusive charmless {ital b}{r arrow}{ital su{bar u}} decay rate asymmetry is therefore negligibly small. With the (semi-)inclusive result as a guide, we estimate the rates and {ital CP} asymmetries for several exclusive several exclusive modes. Keeping only the perturbative, penguin-induced absorptive part, one finds that the modes due to {ital b}{r arrow}{ital su{bar u}} (e.g., {ital B}{sup {minus}}{r arrow}{ital K}{sup {minus}}{pi}{sup 0}) could have {ital CP} rate asymmetries opposite in sign with respect to pure penguin modes (such as {ital B}{sup {minus}}{r arrow}{ital K}{sup {minus}}{phi}), contrary to naive expectations. Charmless {ital b}{r arrow}{ital d} transitions are also discussed. We emphasize that exclusive {ital b}{r arrow}{ital d} modes (such as {ital B}{sup {minus}}{r arrow}{ital K}{sup {minus}}{ital K}{sub {ital S}}) may be more promising for {ital CP} studies within the standard model. Many uncertainties and problems related to penguin processes are discussed and assessed in detail.

• OSTI ID: 5537940
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 43:9; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B MESONS
DECAY
ASYMMETRY
BRANCHING RATIO
CP INVARIANCE
EIGENSTATES
EXCLUSIVE INTERACTIONS
INCLUSIVE INTERACTIONS
KAONS MINUS
KAONS NEUTRAL SHORT-LIVED
KOBAYASHI-MASKAWA MATRIX
PERTURBATION THEORY
PHASE SHIFT
STANDARD MODEL
BEAUTY PARTICLES
BOSONS
ELEMENTARY PARTICLES
FIELD THEORIES
HADRONS
INTERACTIONS
INVARIANCE PRINCIPLES
KAONS
KAONS NEUTRAL
MATHEMATICAL MODELS
MATRICES
MESONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PSEUDOSCALAR MESONS
STRANGE MESONS
STRANGE PARTICLES
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
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