Direct CP violation in K r arrow 3. pi. decay

Journal Article · Fri Mar 01 00:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.1579· OSTI ID:6143330

Cheng, H ^[1]

---

1. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (US) Institute of Physics, Academia Sinica, Taipei, Taiwan 11529, Republic of China

In light of the fact that the presence of the {ital Z}{sup 0} penguin diagram suppresses strongly {epsilon}{sub 2{pi}}{sup {prime}}/{epsilon} in {ital K}{sup 0}{r arrow}2{pi} decay for large values of {ital m}{sub {ital t}}, we reanalyze the direct decay-amplitude {ital CP} violation in {ital K}{sup 0}{r arrow}3{pi} decays in the Kobayashi-Maskawa model. The effects due to electroweak penguins, isospin breaking, and higher-order weak chiral Lagrangians are studied in the large-{ital N}{sub {ital c}} approach. We find that the Li-Wolfenstein relation between {epsilon}{sub 3{pi}}{sup {prime}} and {epsilon}{sub 2{pi}}{sup {prime}} is modified dramatically: the former receives very large contributions from the higher-derivative chiral terms and sizable contributions from the isospin-breaking correction due to {pi}{sup 0}-{eta}-{eta}{prime} mixing and {eta}, {eta}{prime}{r arrow}3{pi} transitions. When the top quark becomes very heavy, effects of the electroweak penguin terms are enhanced. Unlike {epsilon}{sub 2{pi}}{sup {prime}}/{epsilon}, which decreases as {ital m}{sub {ital t}} increases, the {ital CP}-violating parameter {epsilon}{sub 3{pi}}{sup {prime}}/{epsilon} is of order 10{sup {minus}2} and increases with the heavy top-quark mass.

• OSTI ID: 6143330
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 43:5; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CP INVARIANCE
KAONS NEUTRAL
DECAY
HAMILTONIANS
ISOSPIN
KOBAYASHI-MASKAWA MATRIX
LAGRANGIAN FUNCTION
MASS
PHASE SHIFT
PIONS
QUANTUM CHROMODYNAMICS
QUARKS
S WAVES
TOP PARTICLES
Z NEUTRAL BOSONS
BOSONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
INVARIANCE PRINCIPLES
KAONS
MATHEMATICAL OPERATORS
MATRICES
MESONS
PARTIAL WAVES
PARTICLE PROPERTIES
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
STRANGE MESONS
STRANGE PARTICLES
UNIFIED-FIELD THEORIES
645203* - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties
645300 - High Energy Physics- Particle Invariance Principles & Symmetries