Analysis of the decay [ital K][sub [ital L]][r arrow][pi][sup 0][gamma][gamma] and expectations for the decays [ital K][sub [ital L]][r arrow][pi][sup 0][ital e+][ital e[minus]] and [ital K][sub [ital L]][r arrow][pi][sup 0][mu][sup +][mu][sup [minus]]

Journal Article · Tue Jun 01 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.4920· OSTI ID:6771399

Heiliger, P ^[1]; Sehgal, L M ^[2]

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1. III. Physikalisches Institut A, Rheinisch-Westfaelische Technische Hochschule Aachen, D-5100 Aachen (Germany)
2. Institut fuer Theoretische Physik E, Rheinisch-Westfaelische Technische Hochschule Aachen, D-5100 Aachen (Germany)

A two-component model of the decay [ital K][sub [ital L]][r arrow][pi][sup 0][gamma][gamma], in which the amplitude is the sum of a pion-loop contribution and a vector-meson-mediated term, is compared with data from the NA31 and E731 experiments. An estimate is obtained for the parameter [ital G] characterizing the strength of the vector-meson component. The amplitude of [ital K][sub [ital L]][r arrow][pi][sup 0][gamma][gamma], determined in this way, is used to calculate the [ital CP]-conserving amplitude of the decays [ital K][sub [ital L]][r arrow][pi][sup 0][ital e+][ital e[minus]] and [ital K][sub [ital L]][r arrow][pi][sup 0][mu][sup +][mu][sup [minus]], without neglect of lepton masses. This complex amplitude (containing both absorptive and dispersive parts) is allowed to interfere with the [ital CP]-violating amplitude expected from the short-distance interaction [ital s[bar d]][r arrow][ital l][sup +][ital l[minus]] and from the [ital CP] impurity of the [ital K][sub [ital L]] wave function. Results are obtained for the branching ratios of [ital K][sub [ital L]][r arrow][pi][sup 0][ital l+][ital l[minus]] and for the [ital CP]-violating [ital l][sup +][ital l[minus]] asymmetry in the Dalitz plot.

• OSTI ID: 6771399
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:11; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662350* -- Decays of Mesons-- (1992-)
662390 -- Electromagnetic Processes & Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOSONS
BRANCHING RATIO
CP INVARIANCE
DECAY
DECAY AMPLITUDES
ELECTRON PAIRS
ELEMENTARY PARTICLES
HADRONS
INVARIANCE PRINCIPLES
KAONS
KAONS NEUTRAL
KAONS NEUTRAL LONG-LIVED
MATHEMATICAL MODELS
MESONS
MUON PAIRS
PARTICLE DECAY
PARTICLE MODELS
PIONS
PIONS NEUTRAL
PSEUDOSCALAR MESONS
RADIATIVE DECAY
STRANGE MESONS
STRANGE PARTICLES
TRANSITION AMPLITUDES
VECTOR DOMINANCE MODEL
WEAK HADRONIC DECAY
WEAK PARTICLE DECAY