2012/03/20 by Harry J. Lipkin, Lipkin, Harry J.
Physics and Astronomy · #Atomic and Subatomic Physics Research #CP violation #Dynamics (music) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Homogeneous space #Isospin #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-ph
paper · pdf · doi:10.48550/arxiv.1203.4541
18 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1105.3443, arXiv:1102.4700, and arXiv:1107.1888
openalex publication_date 2012/03/20 · arxiv created 2012/07/23 · arxiv updated 2012/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Simple flavor symmetry argument without QCD dynamics shows why CP violation observed in neutral B to Kπ decays is absent in charged B decays where tree diagram final state has two u quarks satisfying Pauli principle. Entanglement preserves short range symmetry correlations after separation into two mesons. Pauli principle and symmetries require totally flavor-symmetric tree diagram final state. ππ isospin state with I=2 already is flavor symmetric and suffers no symmetry constraint. Strange flavor-symmetric state with V spin V=2 is linear combination of Kπ and K η with probability only (1/4) for Kπ. Tree diagram suppression by factor 4 not present in neutral decays explains negligible tree-penguin interference and CP violation in charged decays. Detailed full symmetry analysis shows constraints from space-inversion, charge conjugation, Pauli antisymmetrization and flavor symmetry. Two antiquarks produced at same space point by tree diagram have even parity. Even parity final state requires even parity, even space symmetry and color-spin antisymmetry for two u quarks. Color-singlet spin-singlet final state requires color-spin antisymmetry and therefore flavor symmetry for two-antiquark wave function. Flavor symmetric u d and u s antiquark pairs have isospin I=1 and V-spin V =1. Generalized charge conjugation invariance requires I=2 for ππ tree diagram and V = 2 for Kπ. Penguin decays give I = 1/2 final state and no CP violation. Experiments confirm surprising predictions from tree suppression factor not noted in previous analyzes. I=1/2 violations seen only in relation between charged and neutral decays together with no I=3/2 components in each individual decay. Common treatments using ππ data fail to fit Kπ data.